1.
Which of the following is an example of an improper fraction?
Correct Answer
B. 4/3
Explanation
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. In the given options, 4/3 is the only fraction where the numerator (4) is greater than the denominator (3). Therefore, 4/3 is an example of an improper fraction.
2.
Which of the following fractions is equivalent to 4/5
(there is more than one correct answer)
Correct Answer(s)
A. 40/50
B. 8/10
D. 12/15
Explanation
The fractions 40/50, 8/10, and 12/15 are all equivalent to 4/5. This is because when we simplify these fractions, we can divide both the numerator and denominator by the same number to get the same simplified fraction. In this case, we can divide both 40 and 50 by 10, both 8 and 10 by 2, and both 12 and 15 by 3 to simplify each fraction to 4/5.
3.
Expressed as a fraction in simplest terms 0.02 is equal to:
Correct Answer
D. 1/50
Explanation
0.02 can be expressed as 2/100, which can be simplified to 1/50.
4.
The reciprocal of 3/5 is...
Correct Answer
B. 5/3
Explanation
The reciprocal of a fraction is obtained by flipping the numerator and denominator. In this case, the reciprocal of 3/5 would be 5/3.
5.
3x + 2x =
Correct Answer
B. 5x
Explanation
The given expression is 3x + 2x. To simplify this expression, we can combine the like terms, which in this case are the terms with the same variable, x. Adding the coefficients of the like terms, we get 3 + 2 = 5. Therefore, the simplified expression is 5x.
6.
2 x a x 3 x b =
Correct Answer
A. 6ab
Explanation
The given expression, 2 x a x 3 x b, can be simplified by multiplying the coefficients (2 and 3) and the variables (a and b) together. Multiplying 2 and 3 gives 6, and multiplying a and b gives ab. Therefore, the simplified expression is 6ab.
7.
2 (a + 3) =
Correct Answer
C. 2a + 6
Explanation
The given expression is 2(a + 3), which means that 2 is multiplied by the sum of a and 3. To simplify this expression, we can distribute the 2 to both terms inside the parentheses. This gives us 2a + 6, which is the correct answer.
8.
Solve y for 2y + 3 = 13 is
Correct Answer
C. Y = 5
Explanation
To solve for y in the equation 2y + 3 = 13, we need to isolate y on one side of the equation. First, we subtract 3 from both sides to get 2y = 10. Then, we divide both sides by 2 to find that y = 5. Therefore, the correct answer is y = 5.
9.
Simplify 21/30
Correct Answer
B. 7/10
Explanation
To simplify 21/30, we can divide both the numerator and denominator by their greatest common divisor, which is 3. Dividing 21 by 3 gives us 7, and dividing 30 by 3 gives us 10. Therefore, the simplified form of 21/30 is 7/10.
10.
Express 12/5 as a mixed numeral
Correct Answer
B. 2 2/5
Explanation
To express 12/5 as a mixed numeral, we need to divide the numerator (12) by the denominator (5). The quotient is 2, which becomes the whole number part of the mixed numeral. The remainder is 2, which becomes the numerator of the fractional part. The denominator remains the same (5). Therefore, the mixed numeral representation of 12/5 is 2 2/5.
11.
Evaluate 3/7 + 2/7
Correct Answer
C. 5/7
Explanation
The given expression is the sum of two fractions with a common denominator of 7. When the numerators (3 and 2) are added, the result is 5. Therefore, the simplified fraction is 5/7.
12.
Evaluate 2.83 + 7.29
Correct Answer
A. 10.12
Explanation
The correct answer is 10.12 because when you add 2.83 and 7.29, you get a sum of 10.12.
13.
True or False? 0.1212 is a recurring decimal?
Correct Answer
A. True
Explanation
A recurring decimal is a decimal number that has a repeating pattern of digits. In the case of 0.1212, the digits 12 repeat infinitely, making it a recurring decimal.
14.
Simplify 3y + 2 + 2y +5
Correct Answer
B. 5y + 7
Explanation
The given expression is a combination of like terms. The terms 3y and 2y can be combined to give 5y, and the constants 2 and 5 can be combined to give 7. Therefore, the simplified form of the expression is 5y + 7.
15.
7m x 3 =
Correct Answer
B. 21m
Explanation
The given expression, 7m x 3, represents the multiplication of 7m by 3. To multiply a number by a variable, we multiply the coefficients and combine the variables. In this case, the coefficient of m is 7, and multiplying it by 3 gives us 21. Therefore, the expression simplifies to 21m.
16.
Factorise 3m - 3n
Correct Answer
D. 3 (m - n)
Explanation
The correct answer is 3 (m - n). This is the correct factorization of the expression 3m - 3n. The expression can be rewritten as 3(m - n), where the common factor of 3 is factored out.
17.
Factorise 3z + 21a
Correct Answer
C. 3 (z + 7a)
Explanation
The given expression, 3z + 21a, can be factorized by finding the greatest common factor of the two terms. The greatest common factor of 3z and 21a is 3, so we can factor out a 3 from both terms. This leaves us with 3(z + 7a), which is the factored form of the expression.
18.
Factorise 2b + 36m
Correct Answer
A. 2(b + 18m)
Explanation
The given expression 2b + 36m can be factorized as 2(b + 18m).
19.
Expand 4(a + 7b)
Correct Answer
A. 7a + 28b
Explanation
The given expression is 4(a + 7b). To expand this expression, we distribute the 4 to both terms inside the parentheses. This gives us 4a + 28b. Therefore, the correct expanded form of 4(a + 7b) is 7a + 28b.
20.
Expand a (16 + 7 - 2b)
Correct Answer
D. 23a - 2ab
Explanation
The given expression, a (16 + 7 - 2b), can be expanded by applying the distributive property. This means multiplying each term inside the parentheses by the value outside the parentheses, which is 'a'. Doing this, we get 16a + 7a - 2ab. Simplifying further, we combine like terms to get the final expanded form: 23a - 2ab.
21.
Express 0.6 as a percentage
Correct Answer
B. 60%
Explanation
To express a decimal number as a percentage, we need to multiply it by 100. In this case, multiplying 0.6 by 100 gives us 60. Therefore, 0.6 can be expressed as 60%.
22.
Express 2/7 as a percentage to the nearest 2 decimal places.
Correct Answer
B. 28.57 %
Explanation
To express 2/7 as a percentage, we need to divide 2 by 7 and then multiply by 100. The result is 0.2857142857142857, which when rounded to the nearest 2 decimal places becomes 28.57%. Therefore, the correct answer is 28.57%.