1.
To make the number sentence correct, what number should be added to 106 to equal 158?
Correct Answer
A. 52
Explanation
The equation 106 + ? = 158 represents a missing addend problem. To find the missing number, we need to isolate it on one side of the equation. This can be done by subtracting 106 from both sides of the equation, giving us ? = 158 - 106. Simplifying this gives us ? = 52. Therefore, the missing number is 52.
2.
What is the simplest form of 16/24?
Correct Answer
B. 2/3
Explanation
To find the simplest form of 16242416​, you can simplify the fraction by dividing both the numerator (16) and the denominator (24) by their greatest common factor.
Factors of 16: 1, 2, 4, 8, 16
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
The greatest common factor is the largest number that appears in both lists. In this case, the greatest common factor of 16 and 24 is 8.
Now, divide both the numerator (16) and the denominator (24) by the greatest common factor:
16/24=16÷8/24÷8=2/3
So, the simplified fraction is 2/3​.
3.
Simon has 918 marbles. He wants to make packets of marbles, with nine marbles in each pack. How many packs will he be able to make?
Correct Answer
B. 102
Explanation
Simon has 918 marbles. He wants to make packets with nine marbles each. To find out how many packets he can make, divide the total number of marbles by the number of marbles per packet:
918÷9=102
This division shows that Simon can create 102 packets, each containing nine marbles, with his total of 918 marbles. Thus, he can make 102 packets of marbles with the given total.
4.
If a rectangle has a length of 12 cm and a width of 5 cm, what is its perimeter?
Correct Answer
A. 34 cm
Explanation
Imagine a rectangle like a racetrack. The perimeter is the total distance around the racetrack. To find it, we add up the lengths of all the sides. In a rectangle, the opposite sides are the same length. So, we have two sides that are 12 cm long and two sides that are 5 cm long.Perimeter = 12 cm + 12 cm + 5 cm + 5 cm
Perimeter = 34 cm
5.
A teacher brought some toffees to her class. After giving three toffees each to 15 students who had completed their assignments, she has 60 toffees left with her. How many toffees did she bring to the class?
Correct Answer
D. 105
Explanation
The teacher gave 3 toffees to each of her 15 students who completed their assignments, so she gave out a total of 45 toffees (3 x 15 = 45). She had 60 toffees left after giving some to the students, so she originally brought 105 toffees to class (45 + 60 = 105).
6.
Which of these numbers have only two factors, one and the number itself?
Correct Answer
C. 37X1
Explanation
A number that has only two factors, one and itself, is called a prime number. Let's evaluate the expressions:
37 + 1 = 38: 38 is not a prime number because it has factors other than 1 and itself (1, 2, 19, and 38).
37 + 37 = 74: 74 is not a prime number because it has factors other than 1 and itself (1, 2, 37, and 74).
37 × 1 = 37: 37 is a prime number because its only factors are 1 and 37.
37 × 37 = 1369: 1369 is not a prime number because it has factors other than 1 and itself (1, 37, and 1369).
Therefore, 37 × 1 = 37 is the number with only two factors, making it the correct answer.
7.
Meena divides a number by 2 and then divides the result by 2 again. What is this equivalent to dividing the original number by?
Correct Answer
B. 4
Explanation
When Meena divides a number by 2, she is finding half of that number. For example, if the original number is xxx, after the first division, the result is x2\frac{x}{2}2x​. When she divides this result by 2 again, she takes half of x2\frac{x}{2}2x​, which can be expressed as x22\frac{\frac{x}{2}}{2}22x​​. This simplifies to x4\frac{x}{4}4x​, indicating that dividing the original number by 2 twice is equivalent to dividing it by 4. Thus, the correct answer is that Meena's process is equivalent to dividing the original number by 4.
8.
John has stamps from different countries. 1/3rd of them are India's stamps. If he has 36 Indian stamps, how many stamps does he have in total?
Correct Answer
D. 108
Explanation
If 36 stamps represent one-third (1/3) of John's collection, we need to find out how many stamps are in three-thirds (3/3), which is the whole collection.To do this, we can think:
If 36 stamps = 1/3 of the collection
Then 36 * 3 stamps = 3/3 (the whole) of the collection
So, 36 * 3 = 108 stamps in total.
9.
1024+1025+___=1025+1025+1025
What number will come in the blank to make the number sentence correct?
Correct Answer
C. 1026
Explanation
This question is like a balance scale. To keep it balanced, both sides need to have the same total weight.
Right side: 1025 + 1025 + 1025 = 3075
Left side: We have 1024 + 1025 = 2049
To make the left side equal 3075, we need to find the difference: 3075 - 2049 = 1026
So, 1026 is the missing number.
10.
Meena has bought six pens. The cost of each pen was between Rs.25 and Rs. 30. Which of these could be the total cost of the pens?
Correct Answer
C. Between Rs. 150 and Rs. 180.
Explanation
The total cost of the pens can vary depending on the actual cost of each pen within the given range. To find the possible total cost, we can calculate the minimum and maximum total costs:
Minimum Total Cost: If each pen costs the minimum of Rs. 25, then the minimum total cost for 6 pens would be 6 x Rs. 25 = Rs. 150
Maximum Total Cost: If each pen costs a maximum of Rs. 30, then the maximum total cost for 6 pens would be 6 x Rs. 30 = Rs. 180
So, the possible total cost of the 6 pens could be between Rs. 150 and Rs. 180.
11.
Two angles of a triangle measure 35 degrees and 65 degrees. What is the measure of the third angle of the triangle?
Correct Answer
B. 80 degrees
Explanation
To find the measure of the third angle of a triangle, we use the fact that the sum of the interior angles of a triangle is always 180 degrees.
Given two angles: 35 degrees and 65 degrees.
Sum of the given angles: 35 + 65 = 100 degrees.
Measure of the third angle: 180 - 100 = 80 degrees.
Therefore, the measure of the third angle of the triangle is 80 degrees.
12.
What is the sum of any THREE angles of a rectangle?
Correct Answer
C. 270 degrees
Explanation
A rectangle has four right angles, and each angle measures 90 degrees. The sum of all four angles in a rectangle is 360 degrees (4 × 90 = 360). If you add up the measures of any three angles in a rectangle, the total will be 270 degrees (3 × 90 = 270). Thus, the correct answer is 270 degrees.
13.
What is the ratio of 500 ml to 2 liters?
Correct Answer
A. 1:4
Explanation
To find the ratio, we need to ensure both quantities are in the same units. Since 1 liter equals 1000 milliliters, 2 liters is 2000 milliliters. So, the ratio is 500 ml to 2000 ml. To simplify, we divide both sides by the greatest common factor, which is 500. This gives us 500/500 : 2000/500, simplifying to 1:4. Therefore, the ratio of 500 ml to 2 liters is 1:4.
14.
What is the value of 15 × (3 + 2) - 10?
Correct Answer
A. 65
Explanation
To solve the question 15 × (3 + 2) - 10, follow these steps:
1. Evaluate the expression inside the parentheses:
3+2=53 + 2 = 53+2=5.
2. Multiply the result by 15:
15×5=7515 × 5 = 7515×5=75.
3. Subtract 10 from the product:
75−10=6575 - 10 = 6575−10=65.
Thus, the final answer is 65
15.
What is the place value of 3 in 1.234?
Correct Answer
C. 3/100
Explanation
Place value tells us the "worth" of a digit based on its position in a number. In decimal numbers (numbers with a decimal point), the places to the right of the decimal point represent fractions.
The first place after the decimal is the tenths place (1/10).
The second place is the hundredths place (1/100).
The third place is the thousandths place (1/1000), and so on.
In the number 1.234, the 3 is in the hundredths place. So its place value is 3/100.
16.
How many minutes are in 3 hours?
Correct Answer
C. 180
Explanation
To find how many minutes are in 3 hours, we use the fact that 1 hour equals 60 minutes. Multiply the number of hours by 60:
3 × 60 = 180 minutes.
Thus, there are 180 minutes in 3 hours. This calculation is straightforward, as the relationship between hours and minutes is a basic multiplication problem. By understanding the conversion factor between hours and minutes, we can easily calculate the total number of minutes for any number of hours. The answer, 180 minutes, is obtained by multiplying and confirming that each hour has a consistent 60-minute duration.
17.
What is the perimeter of a square with each side measuring 7 cm?
Correct Answer
A. 28 cm
Explanation
The perimeter of a square is calculated by adding all four sides. Since a square has equal sides, the formula for the perimeter is side length × 4. Given that each side of the square measures 7 cm, the perimeter is
7 cm × 4 = 28 cm.
This is a straightforward calculation, where we multiply the side length by 4 to account for each of the four sides of the square. The concept relies on understanding the geometric property that all sides of a square are equal, leading to the formula for the perimeter.
18.
If a pizza is divided into 8 equal slices, what fraction of the pizza is 3 slices?
Correct Answer
A. 3/8
Explanation
When a pizza is divided into 8 equal slices, each slice represents 1/8 of the pizza. To find the fraction of the pizza that 3 slices represent, multiply the fraction of one slice by 3:
1/8 × 3 = 3/8.
This calculation shows that 3 slices constitute 3 out of 8 parts of the pizza. Fractions represent parts of a whole, and this problem requires multiplying the unit fraction by the number of slices. The resulting fraction, 3/8, expresses the part of the pizza that has been selected.
19.
A store has 45 apples, and 5 apples are sold every day. How many days until they are gone?
Correct Answer
C. 9
Explanation
To find how many days it will take to sell all 45 apples if 5 apples are sold per day, divide the total number of apples by the number sold each day:
45 ÷ 5 = 9 days.
This division tells us that it will take 9 days to sell all the apples at the given rate. This is a simple division problem, where the total amount is divided evenly by the number sold per day. The result, 9 days, is the time required for all apples to be sold at a consistent rate of 5 apples daily.
20.
A rectangle has a length of 10 cm and a width of 4 cm. What is its area?
Correct Answer
C. 40 cm²
Explanation
The area of a rectangle is found by multiplying the length by the width. Given that the length of the rectangle is 10 cm and the width is 4 cm, we use the formula for area:
Area = length × width = 10 cm × 4 cm = 40 cm².
This formula calculates the total surface area within the rectangle’s boundaries. By multiplying the two dimensions, we account for the entire space enclosed by the length and width. The result, 40 cm², represents the total area in square centimeters, emphasizing the two-dimensional nature of the shape.