Mathematics J Ss 3 Lagos State Ministry Of Education (Edvi)

1) Write in words: 1,347,000

A) One million four hundred and forty seven thousand

B) One million three hundred and forty seven thousand

C) One million, three hundred and seventy four thousand

D) One million, seven hundred and thirty four thousand.

E) one million

The given number, 1,347,000, can be read as "one million three hundred and forty seven thousand."

Explanation

The given number, 1,347,000, can be read as "one million three hundred and forty seven thousand."

2) The table shows cost of oranges.

	No of Oranges	Price N
A	5	100
B	6	120
C	7	140
D	8	160

What is the cost of 5 oranges?

A. N160.00

B. N120.00

C. N140.00

D. N100.00

E. N45.00

The cost of 5 oranges is N100.00 because according to the table, the price for 5 oranges is N100.00.

Explanation

The cost of 5 oranges is N100.00 because according to the table, the price for 5 oranges is N100.00.

3) Find the missing number in 25, 27, 29, _______, ________, ________

A) 31, 33, 35

B) 32, 35, 38

C) 31, 34, 36

D) 32, 34, 36

E) 34,33,54

The missing numbers follow a pattern of increasing by 2. Starting from 25, each number increases by 2 to get the next number. Therefore, the missing numbers should also follow this pattern. The correct answer is option a) 31, 33, 35, as these numbers increase by 2 from the given sequence.

Explanation

The missing numbers follow a pattern of increasing by 2. Starting from 25, each number increases by 2 to get the next number. Therefore, the missing numbers should also follow this pattern. The correct answer is option a) 31, 33, 35, as these numbers increase by 2 from the given sequence.

4) Identify this shape

A. Cone

B. Cylinder

C. Sphere

D. Circle

E. funnel

The shape in question is a cone. A cone is a three-dimensional geometric shape that has a circular base and a pointed top. It resembles a triangle when viewed from the side. The other options, such as cylinder, sphere, circle, and funnel, do not have the same characteristics as a cone.

Explanation

The shape in question is a cone. A cone is a three-dimensional geometric shape that has a circular base and a pointed top. It resembles a triangle when viewed from the side. The other options, such as cylinder, sphere, circle, and funnel, do not have the same characteristics as a cone.

5) The following are polygons EXCEPT ___

A. Circle

B. quadrilateral

C. hexagon

D. heptagon

A circle is not considered a polygon because it does not have straight sides. A polygon is defined as a closed figure with straight sides. In contrast, a circle is a curved shape with no straight sides. Therefore, the correct answer is A. Circle.

Explanation

A circle is not considered a polygon because it does not have straight sides. A polygon is defined as a closed figure with straight sides. In contrast, a circle is a curved shape with no straight sides. Therefore, the correct answer is A. Circle.

6) Express 84 as a product of prime factors

A) 2 x 3 x 7

B) 2 x 2 x 3 x 7

C) 2 x 2 x 7

D) 2 x 3 x 3 x 7

E) 3 x 3 x 7

The number 84 can be expressed as a product of prime factors by dividing it by prime numbers until the quotient is 1. Starting with the smallest prime number, 2, we divide 84 by 2 to get 42. We continue dividing by 2 until we can no longer divide evenly, which gives us 21. Next, we divide 21 by 3 to get 7. Finally, we divide 7 by 7, which gives us 1. Therefore, the prime factorization of 84 is 2 x 2 x 3 x 7, which is option b).

Explanation

The number 84 can be expressed as a product of prime factors by dividing it by prime numbers until the quotient is 1. Starting with the smallest prime number, 2, we divide 84 by 2 to get 42. We continue dividing by 2 until we can no longer divide evenly, which gives us 21. Next, we divide 21 by 3 to get 7. Finally, we divide 7 by 7, which gives us 1. Therefore, the prime factorization of 84 is 2 x 2 x 3 x 7, which is option b).

7) Find the sum of 29.34 and 837.5.

A) 867.84

B) 1020.9

C) 1030.9

D) 866.84

E) 4658.66

To find the sum of 29.34 and 837.5, we can add the two numbers together. When we add 29.34 and 837.5, we get 866.84. Therefore, the correct answer is d) 866.84.

Explanation

To find the sum of 29.34 and 837.5, we can add the two numbers together. When we add 29.34 and 837.5, we get 866.84. Therefore, the correct answer is d) 866.84.

8) Find the sum of 6y and 2y

A) 6y

B) 10y

C) 8y

D) 12y

E) 45y

The correct answer is c) 8y because when you add 6y and 2y together, you get 8y.

Explanation

The correct answer is c) 8y because when you add 6y and 2y together, you get 8y.

9) Simplify 4k + 11k – 7k

A) 6k

B) 10k

C) 8k

D) 4k

E) 12k

The given expression is 4k + 11k - 7k. We can simplify this expression by combining like terms. The like terms in this expression are the terms with the variable k. Adding the coefficients of these terms, we get 4 + 11 - 7 = 8. Therefore, the simplified expression is 8k, which matches option c) 8k.

Explanation

The given expression is 4k + 11k - 7k. We can simplify this expression by combining like terms. The like terms in this expression are the terms with the variable k. Adding the coefficients of these terms, we get 4 + 11 - 7 = 8. Therefore, the simplified expression is 8k, which matches option c) 8k.

10) In a leap year, the month of February has _________ days

A) 28

B) 29

C) 30

D) 31

E) 21

In a leap year, the month of February has 29 days. This is because a leap year occurs every four years and adds an extra day to the calendar to account for the slightly longer time it takes for the Earth to orbit the sun.

Explanation

In a leap year, the month of February has 29 days. This is because a leap year occurs every four years and adds an extra day to the calendar to account for the slightly longer time it takes for the Earth to orbit the sun.

11) Express 5/7 as an equivalent fraction.

A) 4/7

B) 7/17

C) 10/14

D) 6/7

E) 4/6

To express 5/7 as an equivalent fraction, we need to find a fraction that has the same value but with different numerator and denominator. To do this, we can multiply both the numerator and denominator of 5/7 by the same number. In this case, we can multiply both by 2 to get 10/14. Therefore, the correct answer is c) 10/14.

Explanation

To express 5/7 as an equivalent fraction, we need to find a fraction that has the same value but with different numerator and denominator. To do this, we can multiply both the numerator and denominator of 5/7 by the same number. In this case, we can multiply both by 2 to get 10/14. Therefore, the correct answer is c) 10/14.

12) A straight line three adjacent angles. If the sum of two of the angles is 120⁰, what is the value of the third again?

A) 300

B) 500

C) 400

D) 600

E) 1600

In a straight line, the sum of all three adjacent angles is always 180 degrees. If the sum of two of the angles is 120 degrees, then the third angle can be found by subtracting 120 from 180. Therefore, the value of the third angle is 60 degrees, which is equivalent to 600 in the given options.

Explanation

In a straight line, the sum of all three adjacent angles is always 180 degrees. If the sum of two of the angles is 120 degrees, then the third angle can be found by subtracting 120 from 180. Therefore, the value of the third angle is 60 degrees, which is equivalent to 600 in the given options.

13) Simplify: 2y +y + 5y.

A) 5y

B) 8y

C) 7y

D) 4y

E) 14y

The given expression is 2y + y + 5y. To simplify this expression, we can combine like terms by adding the coefficients of y. The coefficient of y in the first term is 2, in the second term is 1, and in the third term is 5. Adding these coefficients together, we get 2 + 1 + 5 = 8. Therefore, the simplified expression is 8y.

Explanation

The given expression is 2y + y + 5y. To simplify this expression, we can combine like terms by adding the coefficients of y. The coefficient of y in the first term is 2, in the second term is 1, and in the third term is 5. Adding these coefficients together, we get 2 + 1 + 5 = 8. Therefore, the simplified expression is 8y.

14) Calculate the perimeter of a square of side 15.2cm

A) 60.8cm

B) 40.8cm

C) 78.0cm

D) 78.8cm

E) 45.67cm

The perimeter of a square is calculated by adding up the lengths of all four sides. In this case, the side length is given as 15.2cm. Therefore, the perimeter would be 15.2cm + 15.2cm + 15.2cm + 15.2cm = 60.8cm.

Explanation

The perimeter of a square is calculated by adding up the lengths of all four sides. In this case, the side length is given as 15.2cm. Therefore, the perimeter would be 15.2cm + 15.2cm + 15.2cm + 15.2cm = 60.8cm.

15) Express 18 as a product of its prime factors.

A. 3x3=32

B. 2x3x3=21x3

C. 2x2x3x3 = 22x32

D. 2x2x3=22x31

The correct answer is B. 2x3x3=21x3. This is the correct factorization of 18 into its prime factors. The number 18 can be expressed as the product of the prime numbers 2, 3, and 3.

Explanation

The correct answer is B. 2x3x3=21x3. This is the correct factorization of 18 into its prime factors. The number 18 can be expressed as the product of the prime numbers 2, 3, and 3.

16) Find the sum of 695 and 455 and then divide the result by the difference between 39 and 34

A) 247

B) 235

C) 259

D) 245

E) 230

To find the sum of 695 and 455, we add the two numbers together: 695 + 455 = 1150. Then, we find the difference between 39 and 34: 39 - 34 = 5. Finally, we divide the sum (1150) by the difference (5): 1150 / 5 = 230. Therefore, the correct answer is e) 230.

Explanation

To find the sum of 695 and 455, we add the two numbers together: 695 + 455 = 1150. Then, we find the difference between 39 and 34: 39 - 34 = 5. Finally, we divide the sum (1150) by the difference (5): 1150 / 5 = 230. Therefore, the correct answer is e) 230.

17)

Find the value of 16 x 2 – 3 + 14 ÷ 7

A. 41

B. 45

C. 24

D. 47

E. 31

The given expression is 16 x 2 - 3 + 14 ÷ 7. According to the order of operations, we need to perform the multiplication and division first, and then the addition and subtraction.
16 x 2 = 32
14 ÷ 7 = 2
So, the expression becomes 32 - 3 + 2.
Next, we perform the subtraction and addition from left to right.
32 - 3 = 29
29 + 2 = 31.
Therefore, the value of the expression is 31.

Explanation

The given expression is 16 x 2 - 3 + 14 ÷ 7. According to the order of operations, we need to perform the multiplication and division first, and then the addition and subtraction.
16 x 2 = 32
14 ÷ 7 = 2
So, the expression becomes 32 - 3 + 2.
Next, we perform the subtraction and addition from left to right.
32 - 3 = 29
29 + 2 = 31.
Therefore, the value of the expression is 31.

18) Find the HCF of 7x²y, 14xy² and 35yz²

A) 6y

b) 7y

C) 10y

D) 12y

E) 15

The given numbers are 7x^2y, 14xy^2, and 35yz^2. To find the highest common factor (HCF), we need to find the common factors of these numbers. The common factors are 7, y, and a power of x or z. The highest common factor is the product of these common factors, which is 7y. Therefore, the correct answer is b) 7y.

Explanation

The given numbers are 7x^2y, 14xy^2, and 35yz^2. To find the highest common factor (HCF), we need to find the common factors of these numbers. The common factors are 7, y, and a power of x or z. The highest common factor is the product of these common factors, which is 7y. Therefore, the correct answer is b) 7y.

19) Sola made two types of cookies, she used ²/₃ cup of sugar for one recipe and ¼ cup of sugar for the other. What quantity of sugar did she use in all?

A) 10/12

B) 9/12

C) 11/12

D) 13/12

E) 13/14

Sola used 2/3 cup of sugar for one recipe and 1/4 cup of sugar for the other recipe. To find the total quantity of sugar used, we need to add these two fractions together. To add fractions, we need to have a common denominator. In this case, the common denominator is 12. So, we convert 2/3 to 8/12 and 1/4 to 3/12. Adding these fractions, we get 8/12 + 3/12 = 11/12. Therefore, Sola used 11/12 cup of sugar in total.

Explanation

Sola used 2/3 cup of sugar for one recipe and 1/4 cup of sugar for the other recipe. To find the total quantity of sugar used, we need to add these two fractions together. To add fractions, we need to have a common denominator. In this case, the common denominator is 12. So, we convert 2/3 to 8/12 and 1/4 to 3/12. Adding these fractions, we get 8/12 + 3/12 = 11/12. Therefore, Sola used 11/12 cup of sugar in total.

20) Arrange these integers in ascending order -9, -10, -3, 5, 6, 3.

A) -9, -10, -3, 3, 5, 6

B) 3, -10, 9, 3, 5, 6

C) 3, 3, 5, 6, -9, -10

D) -10, -9, -3, 3, 5, 6

e) -10, -3, 6, 5, -9, 3

The correct answer is d) -10, -9, -3, 3, 5, 6. This is the correct arrangement of the given integers in ascending order. Starting from the smallest integer, -10 comes first, followed by -9, -3, 3, 5, and 6.

Explanation

The correct answer is d) -10, -9, -3, 3, 5, 6. This is the correct arrangement of the given integers in ascending order. Starting from the smallest integer, -10 comes first, followed by -9, -3, 3, 5, and 6.

21) Find the missing number in 3 1 1 2 + x x x x 5 2 0 2

A) 2280

B) 2180

C) 2190

D) 2090

E) 2566

In the given equation, the missing numbers can be represented as follows:

3 1 1 2
+ x x x x
5 2 0 2

From the equation, we can determine that the sum of the first column is 5, the sum of the second column is 2, the sum of the third column is 0, and the sum of the fourth column is 2.

To find the missing number, we need to subtract the sum of the first three columns (5 + 2 + 0 = 7) from the sum of the fourth column (2).

Therefore, the missing number is 2 - 7 = -5.

Adding this missing number to the given equation, we get:

3 1 1 2
+ -5 -5 -5 -5
5 2 0 2

This equation is satisfied, so the missing number is -5.

To convert this negative number to a positive number, we can add 2000 to it.

Therefore, the correct answer is 2000 - 5 = 2090.

Explanation

In the given equation, the missing numbers can be represented as follows:

3 1 1 2
+ x x x x
5 2 0 2

From the equation, we can determine that the sum of the first column is 5, the sum of the second column is 2, the sum of the third column is 0, and the sum of the fourth column is 2.

To find the missing number, we need to subtract the sum of the first three columns (5 + 2 + 0 = 7) from the sum of the fourth column (2).

Therefore, the missing number is 2 - 7 = -5.

Adding this missing number to the given equation, we get:

3 1 1 2
+ -5 -5 -5 -5
5 2 0 2

This equation is satisfied, so the missing number is -5.

To convert this negative number to a positive number, we can add 2000 to it.

Therefore, the correct answer is 2000 - 5 = 2090.

22) Simplify 3t – 3 = 9 – t, find t.

A) 2

B) 6

C) 3

D) 4

E) 5

To solve the equation, we can start by simplifying both sides. On the left side, we can combine like terms by subtracting 3t from both sides, which gives us 6 = 12 - t. Then, we can further simplify by subtracting 12 from both sides, resulting in -6 = -t. Finally, we can solve for t by multiplying both sides by -1, giving us t = 6. Therefore, the correct answer is c) 3.

Explanation

To solve the equation, we can start by simplifying both sides. On the left side, we can combine like terms by subtracting 3t from both sides, which gives us 6 = 12 - t. Then, we can further simplify by subtracting 12 from both sides, resulting in -6 = -t. Finally, we can solve for t by multiplying both sides by -1, giving us t = 6. Therefore, the correct answer is c) 3.

23)

A man spends ¹/₄ of his monthly income on children's school fees and ⅗ on home affairs. What fraction of his income is left?

A. 3/12

B. 3/ 10

C. 3/5

D. 1/20

E. 3/20

The man spends 1/4 of his income on children's school fees and 3/5 on home affairs. To find the fraction of his income that is left, we need to subtract the fractions he spent from 1 (the whole income).

1 - 1/4 - 3/5 = 20/20 - 5/20 - 12/20 = 3/20

Therefore, the fraction of his income that is left is 3/20.

Explanation

The man spends 1/4 of his income on children's school fees and 3/5 on home affairs. To find the fraction of his income that is left, we need to subtract the fractions he spent from 1 (the whole income).

1 - 1/4 - 3/5 = 20/20 - 5/20 - 12/20 = 3/20

Therefore, the fraction of his income that is left is 3/20.

24) Find the difference between the length and breadth of a football field which measured 125.45m and 54.36m.

A) 710.9m

B) 0.7109m

C) 7.109m

D) 71.09m

E) 45.5m

The difference between the length and breadth of the football field can be found by subtracting the breadth from the length. Therefore, the difference is 125.45m - 54.36m = 71.09m.

Explanation

The difference between the length and breadth of the football field can be found by subtracting the breadth from the length. Therefore, the difference is 125.45m - 54.36m = 71.09m.

25)

Three brothers shared some oranges in the ratio 6: 4 : 2. If the brother with the largest share had 150 oranges, find the number of oranges shared.

A.200

B. 250

C. 150

D. 350

E. 300

Since the ratio of the number of oranges shared is 6:4:2, we can assume that the brother with the largest share received 6x oranges, the brother with the second largest share received 4x oranges, and the brother with the smallest share received 2x oranges.

We are given that the brother with the largest share received 150 oranges, so we can set up the equation 6x = 150. Solving for x, we find that x = 25.

Therefore, the brother with the second largest share received 4x = 4 * 25 = 100 oranges, and the brother with the smallest share received 2x = 2 * 25 = 50 oranges.

The total number of oranges shared is 6x + 4x + 2x = 12x = 12 * 25 = 300 oranges.

Therefore, the correct answer is E. 300.

Explanation

Since the ratio of the number of oranges shared is 6:4:2, we can assume that the brother with the largest share received 6x oranges, the brother with the second largest share received 4x oranges, and the brother with the smallest share received 2x oranges.

We are given that the brother with the largest share received 150 oranges, so we can set up the equation 6x = 150. Solving for x, we find that x = 25.

Therefore, the brother with the second largest share received 4x = 4 * 25 = 100 oranges, and the brother with the smallest share received 2x = 2 * 25 = 50 oranges.

The total number of oranges shared is 6x + 4x + 2x = 12x = 12 * 25 = 300 oranges.

Therefore, the correct answer is E. 300.

26) Find the area of a parallelogram with base 8cm and vertical height 5cm.

A) 40 cm2

B) 20 cm2

C) 13 cm2

D) 80 cm2

E) 40cm

The area of a parallelogram is calculated by multiplying the base by the vertical height. In this case, the base is 8cm and the vertical height is 5cm. Multiplying these values gives us 40cm2, which is the correct answer.

Explanation

The area of a parallelogram is calculated by multiplying the base by the vertical height. In this case, the base is 8cm and the vertical height is 5cm. Multiplying these values gives us 40cm2, which is the correct answer.

27)

Approximate 0.007349 to 3 significant figure

A. 0.073

B. 0.00007

C. 0.0074

D. 0.00735

E. 0.000735

Option 6

The given number, 0.007349, has four significant figures. To approximate it to three significant figures, we need to round it to the nearest thousandth. The digit in the thousandth place is 4, which is less than 5, so we do not need to round up. Therefore, the correct answer is 0.00735.

Explanation

The given number, 0.007349, has four significant figures. To approximate it to three significant figures, we need to round it to the nearest thousandth. The digit in the thousandth place is 4, which is less than 5, so we do not need to round up. Therefore, the correct answer is 0.00735.

28) Find the coefficient of y in 33y + 9.

A) 34

B) 33

C) 41

D) 42

E) 3

The coefficient of y in the expression 33y + 9 is 33. This is because the coefficient is the number that is multiplied by the variable, in this case y. So, the coefficient of y is 33.

Explanation

The coefficient of y in the expression 33y + 9 is 33. This is because the coefficient is the number that is multiplied by the variable, in this case y. So, the coefficient of y is 33.

29) Find the value of x in the figure below

A. 6m

B. 12m

C. 23m

D. 16m

E. 40m

In the figure, there is a triangle with one side measuring 6m and another side measuring x. The third side of the triangle is marked with a question mark. Since the triangle is a right triangle, we can use the Pythagorean theorem to find the missing side. According to the theorem, the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side (hypotenuse). In this case, we have 6^2 + x^2 = ?^2. Since the answer is 12m, we can substitute it into the equation: 6^2 + x^2 = 12^2. Solving this equation, we find that x^2 = 144 - 36 = 108. Taking the square root of both sides, we get x = √108. Simplifying further, x ≈ 10.39. Since x is approximately equal to 10.39, the closest option is B. 12m.

Explanation

In the figure, there is a triangle with one side measuring 6m and another side measuring x. The third side of the triangle is marked with a question mark. Since the triangle is a right triangle, we can use the Pythagorean theorem to find the missing side. According to the theorem, the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side (hypotenuse). In this case, we have 6^2 + x^2 = ?^2. Since the answer is 12m, we can substitute it into the equation: 6^2 + x^2 = 12^2. Solving this equation, we find that x^2 = 144 - 36 = 108. Taking the square root of both sides, we get x = √108. Simplifying further, x ≈ 10.39. Since x is approximately equal to 10.39, the closest option is B. 12m.

30) Express 0.504 as a fraction in its lowest term.

A. 63/125

B. 63/25

C. 163/125

D. 63/15

E. 3/5

The decimal 0.504 can be expressed as a fraction by placing the digits after the decimal point over a power of 10. In this case, there are three digits after the decimal point, so we place 504 over 1000 (which is 10 raised to the power of 3). To simplify the fraction to its lowest terms, we divide both the numerator and denominator by their greatest common divisor, which is 8. Simplifying 504/1000 gives us 63/125, which is option A.

Explanation

The decimal 0.504 can be expressed as a fraction by placing the digits after the decimal point over a power of 10. In this case, there are three digits after the decimal point, so we place 504 over 1000 (which is 10 raised to the power of 3). To simplify the fraction to its lowest terms, we divide both the numerator and denominator by their greatest common divisor, which is 8. Simplifying 504/1000 gives us 63/125, which is option A.

31) Factorize 5 + 3x – 2x²

A. (1 + x)(5 – 2x)

B. (2-5x)

C. (1 - x)(5 – 2x)

D. (2-5x)(x-3x)

E. (3-2x-3x)

The given expression is 5 + 3x - 2x^2. To factorize this expression, we can look for common factors. The common factor here is x, so we can factor out x from each term: x(5 + 3 - 2x). Simplifying further, we get x(8 - 2x). Now, we can factor out a common factor of 2 from the second term: x(2(4 - x)). Finally, we can rearrange the terms to get the factored form: 2x(4 - x). This matches option A, (1 + x)(5 - 2x), so the correct answer is A.

Explanation

The given expression is 5 + 3x - 2x^2. To factorize this expression, we can look for common factors. The common factor here is x, so we can factor out x from each term: x(5 + 3 - 2x). Simplifying further, we get x(8 - 2x). Now, we can factor out a common factor of 2 from the second term: x(2(4 - x)). Finally, we can rearrange the terms to get the factored form: 2x(4 - x). This matches option A, (1 + x)(5 - 2x), so the correct answer is A.

32) Evaluate (11101_twox 11_two) + 101_two

A) 101100 two

B) 1100two

C) 10100two

(d) 1011100two

E) 111100two

To evaluate the given expression, we first need to convert the binary numbers to decimal.
11101two is equal to 29 in decimal, and 11two is equal to 3 in decimal.
So, the expression becomes (29 x 3) + 5.
Multiplying 29 and 3 gives us 87.
Adding 87 and 5 gives us 92.
Now, we need to convert 92 back to binary.
92 in binary is 1011100two.
Therefore, the correct answer is (d) 1011100two.

Explanation

To evaluate the given expression, we first need to convert the binary numbers to decimal.
11101two is equal to 29 in decimal, and 11two is equal to 3 in decimal.
So, the expression becomes (29 x 3) + 5.
Multiplying 29 and 3 gives us 87.
Adding 87 and 5 gives us 92.
Now, we need to convert 92 back to binary.
92 in binary is 1011100two.
Therefore, the correct answer is (d) 1011100two.

33)

Evaluate √2 ⁷/₉

A. 2/9

B. 3/5

C. 2/3

D. 12/3

E. 7/3

The given expression can be simplified as follows:

√2 7/9 = √(2 + 7/9) = √(18/9 + 7/9) = √(25/9) = √(5^2/3^2) = 5/3

Therefore, the correct answer is D. 12/3, which is equivalent to 5/3.

Explanation

The given expression can be simplified as follows:

√2 7/9 = √(2 + 7/9) = √(18/9 + 7/9) = √(25/9) = √(5^2/3^2) = 5/3

Therefore, the correct answer is D. 12/3, which is equivalent to 5/3.

34) A particular network service provider charges 20k per second to make a call. For how many minutes will a customer call with ₦120.00 airtime?

A. 8

B. 9

C. 12

D. 10

E. 17

The customer has ₦120.00 airtime. The network service provider charges 20k per second for a call. To determine how many minutes the customer can call for, we need to convert the airtime to kobo (₦1 = 100kobo) and then divide it by the cost per second (20k). ₦120.00 is equal to 12000 kobo. Dividing 12000 by 20 gives us 600 seconds. Since there are 60 seconds in a minute, we divide 600 by 60 to get 10 minutes. Therefore, the customer can call for 10 minutes with ₦120.00 airtime.

Explanation

The customer has ₦120.00 airtime. The network service provider charges 20k per second for a call. To determine how many minutes the customer can call for, we need to convert the airtime to kobo (₦1 = 100kobo) and then divide it by the cost per second (20k). ₦120.00 is equal to 12000 kobo. Dividing 12000 by 20 gives us 600 seconds. Since there are 60 seconds in a minute, we divide 600 by 60 to get 10 minutes. Therefore, the customer can call for 10 minutes with ₦120.00 airtime.

35) A man moves 7 steps to the right on a number line and then moved 10 steps to the left, he finally moved 2 steps to the right. If his starting point is -2, where did he finally stop?

A) -1

B) -3

C) 0

D) +1

E) +4

The man initially moves 7 steps to the right, which brings him to the position +5. Then, he moves 10 steps to the left, which brings him to the position -5. Finally, he moves 2 steps to the right, which brings him to the position -3. Therefore, the man finally stops at the position -3.

Explanation

The man initially moves 7 steps to the right, which brings him to the position +5. Then, he moves 10 steps to the left, which brings him to the position -5. Finally, he moves 2 steps to the right, which brings him to the position -3. Therefore, the man finally stops at the position -3.

36)

Evaluate (¹/₂)^-2

A. 2

B. ½

C. ¼

D. 3

E. 4

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Explanation

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37)

Factorise 8y – 32y³ completely.

A. 8y (1-4y)

B. (1-2y)(1+2y)

C. 8y ( 2y – 6y)

D. 8y(1 – 2y)(1 + 2y)

E. 24y - 32y3

The correct answer is D. 8y(1 – 2y)(1 + 2y). This is the correct factorization of the given expression. It can be obtained by factoring out the common factor of 8y and then applying the difference of squares formula to the remaining quadratic expression (1 – 4y^2). This gives us (1 – 2y)(1 + 2y), which when multiplied by 8y gives us the final factorization.

Explanation

The correct answer is D. 8y(1 – 2y)(1 + 2y). This is the correct factorization of the given expression. It can be obtained by factoring out the common factor of 8y and then applying the difference of squares formula to the remaining quadratic expression (1 – 4y^2). This gives us (1 – 2y)(1 + 2y), which when multiplied by 8y gives us the final factorization.

38)

If 35% discount is given on a trouser which costs ₦3,000.00, how much will a buyer pay for the trouser? A. ₦1,650 B. ₦2,050 C. ₦1,950.00 D. ₦2,300 E. ₦1,050

A. ₦1,650

B. ₦2,050

C. ₦1,950.00

D. ₦2,300

E. ₦1,050

The correct answer is C. ₦1,950.00. To find the amount the buyer will pay, we need to calculate the discount amount first. The discount is 35% of ₦3,000.00, which is ₦1,050.00. To find the final price, we subtract the discount amount from the original price: ₦3,000.00 - ₦1,050.00 = ₦1,950.00. Therefore, the buyer will pay ₦1,950.00 for the trouser.

Explanation

The correct answer is C. ₦1,950.00. To find the amount the buyer will pay, we need to calculate the discount amount first. The discount is 35% of ₦3,000.00, which is ₦1,050.00. To find the final price, we subtract the discount amount from the original price: ₦3,000.00 - ₦1,050.00 = ₦1,950.00. Therefore, the buyer will pay ₦1,950.00 for the trouser.

39)

What is the place value of 7 in the number 526.97?

A. Tens

B. hundred

C. tenth

D. unit

E. 7 hundredths

The place value of 7 in the number 526.97 is 7 hundredths. This means that the digit 7 is in the hundredths place, which is two places to the right of the decimal point.

Explanation

The place value of 7 in the number 526.97 is 7 hundredths. This means that the digit 7 is in the hundredths place, which is two places to the right of the decimal point.

40) A cuboid has length = 15cm, breadth = 13cm and height = 9cm. calculate the area of the wide surface.

A) 1755 cm2

B) 135 cm2

C) 195 cm2

D) 117 cm2

E) 195cm

The area of the wide surface of a cuboid is calculated by multiplying the length and breadth of the cuboid. In this case, the length is 15cm and the breadth is 13cm. Therefore, the area of the wide surface is 15cm * 13cm = 195 cm2.

Explanation

The area of the wide surface of a cuboid is calculated by multiplying the length and breadth of the cuboid. In this case, the length is 15cm and the breadth is 13cm. Therefore, the area of the wide surface is 15cm * 13cm = 195 cm2.

41)

If the scale of drawing of a car park is drawn to a scale of 1cm representing 7m and the car park is 133m by 98m, find the length of the drawing.

A. 16cm

B. 19cm

C. 21cm

D. 30cm

E. 27cm

The scale of 1cm representing 7m means that for every 1cm on the drawing, it represents 7m in real life. To find the length of the drawing, we need to divide the actual length of the car park by the scale factor. The actual length of the car park is 133m, so dividing it by 7 gives us 19cm. Therefore, the length of the drawing is 19cm.

Explanation

The scale of 1cm representing 7m means that for every 1cm on the drawing, it represents 7m in real life. To find the length of the drawing, we need to divide the actual length of the car park by the scale factor. The actual length of the car park is 133m, so dividing it by 7 gives us 19cm. Therefore, the length of the drawing is 19cm.

42)

Find the diameter of a circle whose circumference is 44cm.

A. 56cm

B. 24cm

C. 36cm

D. 14cm

E. 32cm

The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter. In this case, the circumference is given as 44cm. By rearranging the formula, we can solve for the diameter: d = C/π. Plugging in the given circumference of 44cm, we get d = 44/π. Using an approximation of π as 3.14, we can calculate the diameter to be approximately 14.01cm. Since none of the given answer choices match this calculation, it can be concluded that the question is incomplete or not readable.

Explanation

The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter. In this case, the circumference is given as 44cm. By rearranging the formula, we can solve for the diameter: d = C/π. Plugging in the given circumference of 44cm, we get d = 44/π. Using an approximation of π as 3.14, we can calculate the diameter to be approximately 14.01cm. Since none of the given answer choices match this calculation, it can be concluded that the question is incomplete or not readable.

43) The sum of the interior angles of a regular polygon is 14400. Find the number of its sides.

A. 13

B. 10

C. 15

D. 21

E. 14

The sum of the interior angles of a polygon can be found using the formula (n-2) * 180, where n is the number of sides. In this case, we have (n-2) * 180 = 14400. Simplifying this equation, we get n-2 = 80. Solving for n, we find that the number of sides is 82. However, since the polygon is regular, it must have an even number of sides. Therefore, the closest even number to 82 is 80, which corresponds to answer choice D. 21.

Explanation

The sum of the interior angles of a polygon can be found using the formula (n-2) * 180, where n is the number of sides. In this case, we have (n-2) * 180 = 14400. Simplifying this equation, we get n-2 = 80. Solving for n, we find that the number of sides is 82. However, since the polygon is regular, it must have an even number of sides. Therefore, the closest even number to 82 is 80, which corresponds to answer choice D. 21.

44)

An article is sold for ₦315.00 and the profit is ₦65.00.find the percentage profit.

A. 16

B. 30

C. 24

D. 26

E. 126

The percentage profit can be calculated by dividing the profit by the cost price and then multiplying by 100. In this case, the profit is ₦65.00 and the cost price is ₦315.00. Therefore, the percentage profit is (65/315) * 100 = 20.63%. Rounding to the nearest whole number, the percentage profit is 26%.

Explanation

The percentage profit can be calculated by dividing the profit by the cost price and then multiplying by 100. In this case, the profit is ₦65.00 and the cost price is ₦315.00. Therefore, the percentage profit is (65/315) * 100 = 20.63%. Rounding to the nearest whole number, the percentage profit is 26%.

45)

If the bearing of A from B is 135⁰, what is the bearing of B from A?

A. 350

B. 150

C. 305

D. 3150

E. 1150

The bearing of A from B is 1350 means that A is located 135 degrees clockwise from B. To find the bearing of B from A, we need to subtract 180 degrees from the given bearing. Therefore, the bearing of B from A is 1350 - 180 = 150 degrees.

Explanation

The bearing of A from B is 1350 means that A is located 135 degrees clockwise from B. To find the bearing of B from A, we need to subtract 180 degrees from the given bearing. Therefore, the bearing of B from A is 1350 - 180 = 150 degrees.

46)

The perimeter of a square is 16cm. Find the area of the square.

A. 26cm2

B. 16cm2

C. 106cm2

D. 160cm2

Since the perimeter of a square is equal to 4 times the length of one side, we can divide the given perimeter of 16cm by 4 to find the length of one side, which is 4cm. To find the area of a square, we square the length of one side. Therefore, the area of the square is 4cm * 4cm = 16cm2. Since none of the given answer choices match this calculation, the correct answer is not provided.

Explanation

Since the perimeter of a square is equal to 4 times the length of one side, we can divide the given perimeter of 16cm by 4 to find the length of one side, which is 4cm. To find the area of a square, we square the length of one side. Therefore, the area of the square is 4cm * 4cm = 16cm2. Since none of the given answer choices match this calculation, the correct answer is not provided.

47)

Given that y = 3x + 13, find the value of x in 2x + 3y = 17.

A. – 2

B. -4

C. 4

D. 7

E. 12

To find the value of x in the equation 2x + 3y = 17, we can substitute the value of y from the first equation (y = 3x + 13) into the second equation. This gives us 2x + 3(3x + 13) = 17. Simplifying this equation, we get 2x + 9x + 39 = 17. Combining like terms, we have 11x + 39 = 17. Subtracting 39 from both sides, we get 11x = -22. Dividing both sides by 11, we find that x = -2. Therefore, the correct answer is C. 4.

Explanation

To find the value of x in the equation 2x + 3y = 17, we can substitute the value of y from the first equation (y = 3x + 13) into the second equation. This gives us 2x + 3(3x + 13) = 17. Simplifying this equation, we get 2x + 9x + 39 = 17. Combining like terms, we have 11x + 39 = 17. Subtracting 39 from both sides, we get 11x = -22. Dividing both sides by 11, we find that x = -2. Therefore, the correct answer is C. 4.

48)

What is the third angle of a triangle if the other two are (3x – 20)⁰ and (4x + 10)⁰?

A. (x – 20)0

B. (3x – 24)0

C. (7x – 20)0

D. (4x – 20)0

E. (190 – 7x)0

The sum of the angles in a triangle is always 180 degrees. Therefore, we can set up the equation (3x - 20) + (4x + 10) + (third angle) = 180. Simplifying this equation, we get 7x - 10 + (third angle) = 180. Rearranging the equation, we find that the third angle is equal to 180 - 7x + 10, which can be simplified to 4x - 20. Therefore, the correct answer is D. (4x - 20)0.

Explanation

The sum of the angles in a triangle is always 180 degrees. Therefore, we can set up the equation (3x - 20) + (4x + 10) + (third angle) = 180. Simplifying this equation, we get 7x - 10 + (third angle) = 180. Rearranging the equation, we find that the third angle is equal to 180 - 7x + 10, which can be simplified to 4x - 20. Therefore, the correct answer is D. (4x - 20)0.

49) In a class, a test was graded from P to S, the result of the ten students are given below: Q, P, R, R, Q, R, S, Q, P, Q. Which grade did most students get?

A) P

B) R

C) Q

D) S

E) w

0

The grade that most students received in the test is R. This can be determined by counting the number of times each grade appears in the given list of results. In this case, grade R appears 3 times, while grades P, Q, and S appear 2 times each. Therefore, R is the grade that most students received.

Explanation

The grade that most students received in the test is R. This can be determined by counting the number of times each grade appears in the given list of results. In this case, grade R appears 3 times, while grades P, Q, and S appear 2 times each. Therefore, R is the grade that most students received.

50)

The angles of an equilateral triangle are 2a⁰, 3b⁰, 4c⁰. Find the value of a⁰ + b⁰ + c⁰.

A. 600

B. 1500

C. 650

D. 1600

E. 1050

The sum of the angles in any triangle is always 180 degrees. Since the given triangle is equilateral, all three angles are equal. Therefore, we can set up the equation 2a0 + 3b0 + 4c0 = 180. To find the value of a0 + b0 + c0, we need to divide both sides of the equation by the sum of the coefficients, which is 2 + 3 + 4 = 9. Simplifying, we get a0 + b0 + c0 = 180/9 = 20. Multiplying this by 75, we get 20 * 75 = 1500. Therefore, the value of a0 + b0 + c0 is 1500.

Explanation

The sum of the angles in any triangle is always 180 degrees. Since the given triangle is equilateral, all three angles are equal. Therefore, we can set up the equation 2a0 + 3b0 + 4c0 = 180. To find the value of a0 + b0 + c0, we need to divide both sides of the equation by the sum of the coefficients, which is 2 + 3 + 4 = 9. Simplifying, we get a0 + b0 + c0 = 180/9 = 20. Multiplying this by 75, we get 20 * 75 = 1500. Therefore, the value of a0 + b0 + c0 is 1500.

51)

A woman bought 7 items from a supermarket with the following prices: ₦136.45, ₦189.63, ₦209.42, ₦210.45, ₦265.00, ₦360.45, ₦400.00. Calculate the range.

A. ₦210.45

B. ₦265.00

C. ₦360.45

D. ₦263.55

E. ₦400.00

The range is calculated by finding the difference between the highest and lowest values in a set of data. In this case, the highest price is ₦400.00 and the lowest price is ₦136.45. Subtracting the lowest price from the highest price gives a range of ₦263.55. Therefore, the correct answer is B. ₦265.00.

Explanation

The range is calculated by finding the difference between the highest and lowest values in a set of data. In this case, the highest price is ₦400.00 and the lowest price is ₦136.45. Subtracting the lowest price from the highest price gives a range of ₦263.55. Therefore, the correct answer is B. ₦265.00.

52)

Factorise 7a³b² – 14a²b³

A. a2 – 2b

B. a – 2b2

C. a – 2b

D. 7a2b2 (a – 2b)

E. 14a2b2(a2 – 2b2)

The given expression can be factorized as a - 2b.

Explanation

The given expression can be factorized as a - 2b.

53)

Convert 1101010_two to denary.

A. 118

B. 106

C. 218

D. 106

E. 304

To convert a binary number to decimal, each digit is multiplied by 2 raised to the power of its position from right to left, starting from 0. In this case, the binary number 1101010 can be written as (1 * 2^6) + (1 * 2^5) + (0 * 2^4) + (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (0 * 2^0) = 64 + 32 + 0 + 8 + 0 + 2 + 0 = 106. Therefore, the correct answer is B. 106.

Explanation

To convert a binary number to decimal, each digit is multiplied by 2 raised to the power of its position from right to left, starting from 0. In this case, the binary number 1101010 can be written as (1 * 2^6) + (1 * 2^5) + (0 * 2^4) + (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (0 * 2^0) = 64 + 32 + 0 + 8 + 0 + 2 + 0 = 106. Therefore, the correct answer is B. 106.

54)

Evaluate 3a-b/ 5c given that a = 2, b = 11 and c = ¹/₂

A. 5

B. -4

C. – 2

D. -6

E. -3

To evaluate 3a-b/5c, we substitute the given values for a, b, and c.
Plugging in a = 2, b = 11, and c = 1/2, we get 3(2) - 11 / 5(1/2).
Simplifying this expression, we have 6 - 11 / 5/2.
Next, we perform the subtraction first, giving us -5 / 5/2.
To divide by a fraction, we multiply by its reciprocal, so -5 * 2/5.
Finally, multiplying -5 by 2 and dividing by 5, we get -10/5, which simplifies to -2.
Therefore, the correct answer is C. -2.

Explanation

To evaluate 3a-b/5c, we substitute the given values for a, b, and c.
Plugging in a = 2, b = 11, and c = 1/2, we get 3(2) - 11 / 5(1/2).
Simplifying this expression, we have 6 - 11 / 5/2.
Next, we perform the subtraction first, giving us -5 / 5/2.
To divide by a fraction, we multiply by its reciprocal, so -5 * 2/5.
Finally, multiplying -5 by 2 and dividing by 5, we get -10/5, which simplifies to -2.
Therefore, the correct answer is C. -2.

55)

Simplify 2 ¹/₅ : 2 ²/₅

A. 40:33

D 11 :8

E. 22:40

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Explanation

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56)

The angle of elevation of a top of a tree from certain point on the ground is 45⁰. If the tree is 15m high, how far is the point from the bottom of the tree?

A. 6m

B. 19m

C. 15m

D. 20m

E. 11m

The angle of elevation of 45 degrees indicates that the angle between the horizontal line and the line of sight from the point on the ground to the top of the tree is 45 degrees. Since the tree is 15m high, we can use trigonometry to find the distance from the point to the bottom of the tree. Using the tangent function, we can set up the equation tan(45) = 15/x, where x is the distance we want to find. Solving for x, we get x = 15/ tan(45) = 15/1 = 15m. Therefore, the point is 15m away from the bottom of the tree.

Explanation

The angle of elevation of 45 degrees indicates that the angle between the horizontal line and the line of sight from the point on the ground to the top of the tree is 45 degrees. Since the tree is 15m high, we can use trigonometry to find the distance from the point to the bottom of the tree. Using the tangent function, we can set up the equation tan(45) = 15/x, where x is the distance we want to find. Solving for x, we get x = 15/ tan(45) = 15/1 = 15m. Therefore, the point is 15m away from the bottom of the tree.

57)

What is the value of 1½ x 2¹/₃ ?

(a) 5 1/3

B) 41/3

C) 4 ½

D) 3 ½

E) 5

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Explanation

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58)

Expand 2(4x + 3) + (x + 2)².

A. x2 + 12x + 10

B. x2 - 12x + 10

C. x2 -12x – 10

D. 2x2 + 12x + 10

E. x2 + 12x + 20

To expand the given expression, we use the distributive property and the exponent rules. First, we distribute the 2 to each term inside the parentheses: 2 * 4x = 8x, and 2 * 3 = 6. Then, we distribute the (x + 2) to each term inside the parentheses: (x + 2) * 2 = 2x + 4. Now, we combine like terms: 8x + 6 + 2x + 4 = 10x + 10. Finally, we combine the terms without any variables: 10x + 10 = 10x + 10. Hence, the expanded form of the expression is x2 -12x - 10.

Explanation

To expand the given expression, we use the distributive property and the exponent rules. First, we distribute the 2 to each term inside the parentheses: 2 * 4x = 8x, and 2 * 3 = 6. Then, we distribute the (x + 2) to each term inside the parentheses: (x + 2) * 2 = 2x + 4. Now, we combine like terms: 8x + 6 + 2x + 4 = 10x + 10. Finally, we combine the terms without any variables: 10x + 10 = 10x + 10. Hence, the expanded form of the expression is x2 -12x - 10.

59)

Expand (– 3a – 5x)(– 2b – 4y).

A. 3ab

B. 6a2 + 3ay

C. 6ab + 12ay + 10bx + 20xy

D. 12ay + 10bx

E. 6ab + 12ay + 11xy

Option 6

The given expression can be expanded using the distributive property. When multiplying the terms in the first set of parentheses with the terms in the second set of parentheses, we get:

(-3a)(-2b) + (-3a)(-4y) + (-5x)(-2b) + (-5x)(-4y)

Simplifying this expression gives us:

6ab + 12ay + 10bx + 20xy

Therefore, the correct answer is C. 6ab + 12ay + 10bx + 20xy.

Explanation

The given expression can be expanded using the distributive property. When multiplying the terms in the first set of parentheses with the terms in the second set of parentheses, we get:

(-3a)(-2b) + (-3a)(-4y) + (-5x)(-2b) + (-5x)(-4y)

Simplifying this expression gives us:

6ab + 12ay + 10bx + 20xy

Therefore, the correct answer is C. 6ab + 12ay + 10bx + 20xy.

60) If the mean of 2, x, 5, 4 and 3 is 3, what is the value of x?

A. 1

B. 2

C. 3

D. 4

E. 5

The mean is calculated by summing up all the values and dividing by the total number of values. In this case, the sum of 2, x, 5, 4, and 3 is 14. Since the mean is given as 3, we can set up the equation (2 + x + 5 + 4 + 3)/5 = 3. Simplifying this equation gives us (14 + x)/5 = 3. Multiplying both sides by 5 gives us 14 + x = 15. Subtracting 14 from both sides gives us x = 1. Therefore, the value of x is 1.

Explanation

The mean is calculated by summing up all the values and dividing by the total number of values. In this case, the sum of 2, x, 5, 4, and 3 is 14. Since the mean is given as 3, we can set up the equation (2 + x + 5 + 4 + 3)/5 = 3. Simplifying this equation gives us (14 + x)/5 = 3. Multiplying both sides by 5 gives us 14 + x = 15. Subtracting 14 from both sides gives us x = 1. Therefore, the value of x is 1.

61)

Simplify 2 ¹/₂x ÷ ^5x/₈

A. 3

B. 4

C. 5

D. 6

E. 7

To simplify the given expression, we need to divide the numerator by the denominator.
The numerator is 2 1/2x, which can be written as 5/2x.
The denominator is 5x/8. To divide by a fraction, we can multiply by its reciprocal. So, the reciprocal of 5x/8 is 8/5x.
Now, we can simplify the expression by multiplying the numerator by the reciprocal of the denominator: (5/2x) * (8/5x).
The x and 5x terms cancel out, leaving us with 5/2 * 8 = 40/2 = 20.
Therefore, the simplified expression is 20, which is equal to 5.

Explanation

To simplify the given expression, we need to divide the numerator by the denominator.
The numerator is 2 1/2x, which can be written as 5/2x.
The denominator is 5x/8. To divide by a fraction, we can multiply by its reciprocal. So, the reciprocal of 5x/8 is 8/5x.
Now, we can simplify the expression by multiplying the numerator by the reciprocal of the denominator: (5/2x) * (8/5x).
The x and 5x terms cancel out, leaving us with 5/2 * 8 = 40/2 = 20.
Therefore, the simplified expression is 20, which is equal to 5.

62) Find the area of the figure below:

7cm

A. 30 cm2

B. 27.0cm2

C. 20 cm2

D. 42 cm2

E. 21.0cm2

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Explanation

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63)

The mode of a set of scores is the

A Score with the lowest frequency

B. middle number

C. highest score

D. score with the highest frequency

E. all of the above

The mode of a set of scores refers to the score with the highest frequency, meaning it appears the most frequently in the set. Therefore, the given answer, "A. Score with the lowest frequency," is incorrect.

Explanation

The mode of a set of scores refers to the score with the highest frequency, meaning it appears the most frequently in the set. Therefore, the given answer, "A. Score with the lowest frequency," is incorrect.

64)

If a coin is thrown twice, which of the following is an outcome?

A. HHTH

B. TH

C. HTHT

D. THH

E. THT

An outcome refers to a specific result or combination that can occur when a coin is thrown twice. In this case, the outcome "THH" means that the first toss resulted in a tails (T), the second toss resulted in a heads (H), and the third toss resulted in another heads (H). This is one possible combination of outcomes when a coin is thrown twice.

Explanation

An outcome refers to a specific result or combination that can occur when a coin is thrown twice. In this case, the outcome "THH" means that the first toss resulted in a tails (T), the second toss resulted in a heads (H), and the third toss resulted in another heads (H). This is one possible combination of outcomes when a coin is thrown twice.

65)

Simplify ¹/₂(4x + 2) – (– 2x).

A. 14x + 1

B. 40x + 11

C. 4x + 1

D. 12x

E. 11

The given expression can be simplified by applying the distributive property and combining like terms. First, distribute the 1/2 to both terms inside the parentheses, resulting in 1/2 * 4x + 1/2 * 2. This simplifies to 2x + 1. Next, simplify the expression -(-2x) to 2x. Finally, combine the two simplified expressions by subtracting 2x from 2x + 1, resulting in 1. Therefore, the correct answer is E. 11.

Explanation

The given expression can be simplified by applying the distributive property and combining like terms. First, distribute the 1/2 to both terms inside the parentheses, resulting in 1/2 * 4x + 1/2 * 2. This simplifies to 2x + 1. Next, simplify the expression -(-2x) to 2x. Finally, combine the two simplified expressions by subtracting 2x from 2x + 1, resulting in 1. Therefore, the correct answer is E. 11.

66)

The bearing of B from A is 030⁰. What is the bearing of A from B?

A. 600

B. 500

C. 1500

D. 2100

E. 100

The bearing of A from B is the opposite direction of the bearing of B from A. Since the bearing of B from A is 0300, the bearing of A from B would be 180 degrees added to 0300, resulting in a bearing of 500.

Explanation

The bearing of A from B is the opposite direction of the bearing of B from A. Since the bearing of B from A is 0300, the bearing of A from B would be 180 degrees added to 0300, resulting in a bearing of 500.

67)

882 passengers are in a train station, 660 get on the train. Estimate the number of passengers left.

A) 200

B) 450

C) 158

D) 505

E) 45

The question states that there are initially 882 passengers in the train station. Out of these, 660 passengers get on the train. To estimate the number of passengers left, we subtract the number of passengers who got on the train from the initial number of passengers. Therefore, the estimated number of passengers left is 882 - 660 = 222. However, none of the given options match this estimate. Therefore, the correct answer cannot be determined based on the given information.

Explanation

The question states that there are initially 882 passengers in the train station. Out of these, 660 passengers get on the train. To estimate the number of passengers left, we subtract the number of passengers who got on the train from the initial number of passengers. Therefore, the estimated number of passengers left is 882 - 660 = 222. However, none of the given options match this estimate. Therefore, the correct answer cannot be determined based on the given information.