TABE Math Computations Practice Test 1 — Questions and Answers

Question 1: 43 x 4 = ?

47
172 (Correct answer)
132
162
None of these

Correct answer: 172

To solve 43 x 4, you perform standard multiplication. First, multiply 4 by 3, which equals 12; write down 2 and carry over 1. Next, multiply 4 by 4, which equals 16, and add the carried-over 1 to get 17. Combining these results yields 172.

Question 2: 2/9 + 3/9 = ?

5/18
6/9
5/9 (Correct answer)
1 5/9
None of these

Correct answer: 5/9

When adding fractions that have the same denominator, you simply add their numerators and keep the denominator unchanged. For 2/9 + 3/9, you add 2 and 3 to get 5, while the denominator remains 9. Therefore, the sum is 5/9.

Question 3: What is 20% of 100?

2
120
5
20 (Correct answer)
None of these

Correct answer: 20

To calculate a percentage of a number, convert the percentage to a decimal and then multiply it by the number. 20% as a decimal is 0.20. Multiplying 0.20 by 100 gives you 20, so 20% of 100 is 20.

Question 4: 3^3 + 1^3 = ?

28 (Correct answer)
12
31
30
None of these

Correct answer: 28

This problem requires calculating powers and then adding the results. First, 3^3 means 3 multiplied by itself three times (3 x 3 x 3 = 27). Second, 1^3 means 1 multiplied by itself three times (1 x 1 x 1 = 1). Adding these two results, 27 + 1, gives a total of 28.

Question 5: 1542 - 517 = ?

975
1035
1025 (Correct answer)
1125
None of these

Correct answer: 1025

To solve 1542 - 517, perform subtraction column by column, borrowing when necessary. Starting from the right, 2 minus 7 requires borrowing, making it 12 minus 7 equals 5. Then, 3 minus 1 equals 2. Next, 5 minus 5 equals 0. Finally, 1 minus 0 equals 1. The correct answer is 1025.

Question 6: 5/8 x 2/6 = ?

5/24 (Correct answer)
10/12
5/12
10/24
None of these

Correct answer: 5/24

To multiply fractions, you multiply the numerators together and the denominators together. So, (5 x 2) / (8 x 6) equals 10/48. This fraction can then be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2, resulting in 5/24.

Question 7: 30 - (-4) = ?

26
120
34 (Correct answer)
26
None of these

Correct answer: 34

Subtracting a negative number is equivalent to adding the positive version of that number. Therefore, the expression 30 - (-4) transforms into 30 + 4. Performing this addition yields a result of 34.

Question 8: 8xy - 3xy = ?

5 - xy
5xy (Correct answer)
5x + 5y
5
None of these

Correct answer: 5xy

This is an algebraic subtraction problem involving like terms. Both 8xy and 3xy are like terms because they share the same variables (x and y) raised to the same powers. To subtract them, you simply subtract their coefficients (8 - 3 = 5) and keep the common variable part, resulting in 5xy.

Question 9: 13 ÷ 5 = ?

2 R 4
3 R 2
2 R 3 (Correct answer)
2 R 6
None of these

Correct answer: 2 R 3

To divide 13 by 5, determine how many times 5 fits into 13 without exceeding it. 5 goes into 13 two times (2 x 5 = 10). The remainder is then calculated by subtracting this product from the original number: 13 - 10 = 3. Thus, the result is 2 with a remainder of 3.

Question 10: 9/11 - 5/11 = ?

5/11
4/11 (Correct answer)
4
4/0
None of these

Correct answer: 4/11

When subtracting fractions with the same denominator, you simply subtract the numerators and keep the denominator unchanged. For 9/11 - 5/11, you subtract 5 from 9 to get 4, while the denominator remains 11. Therefore, the difference is 4/11.

Question 11: Calculate the average of these numbers: 17,13,7,21,22

16 (Correct answer)
11
17.5
17

Correct answer: 16

To calculate the average of a set of numbers, you first sum all the numbers and then divide by the total count of the numbers. The sum of 17, 13, 7, 21, and 22 is 80. Since there are 5 numbers, dividing 80 by 5 yields an average of 16.

Question 12: In 20 hours, a writer completes 180 pages of his novel. How many pages does he write on average?

3
6
18
9 (Correct answer)

Correct answer: 9

To find the average number of pages written per hour, you divide the total number of pages by the total number of hours. In this scenario, the writer completes 180 pages in 20 hours. Dividing 180 pages by 20 hours gives an average of 9 pages per hour.

Question 13: N is the result of adding two numbers. What would be three times the other number if one of the numbers were 6?

3(𝑁+6)
(𝑁−2)
3(𝑁−6) (Correct answer)
3𝑁

Correct answer: 3(𝑁−6)

Let the two numbers be 'x' and 'y'. Their sum is N, so x + y = N. If one number is 6 (let x = 6), then 6 + y = N. To find the other number (y), subtract 6 from N, so y = N - 6. The question asks for three times the other number, which is 3 multiplied by (N - 6), or 3(N - 6).

Question 14: What is the largest fraction among the following?

7/9 (Correct answer)
2/3
3/4
2/5

Correct answer: 7/9

To find the largest fraction, convert all fractions to decimals or find a common denominator. Converting to decimals: 7/9 ≈ 0.777, 2/3 ≈ 0.667, 3/4 = 0.75, and 2/5 = 0.4. Comparing these decimal values, 0.777 is the largest, making 7/9 the largest fraction.

Question 15: If 3𝑥−5=8.5, What is the value of 5𝑥+3?

13
25.5 (Correct answer)
15.5
20.5

Correct answer: 25.5

First, solve the equation 3x - 5 = 8.5 for x. Add 5 to both sides to get 3x = 13.5, then divide by 3 to find x = 4.5. Next, substitute this value of x into the expression 5x + 3. This yields 5(4.5) + 3 = 22.5 + 3 = 25.5.

Question 16: What is the surface area of an isosceles right triangle with a 6 cm long leg?

18𝑐𝑚2 (Correct answer)
6𝑐𝑚2
12𝑐𝑚2
36𝑐𝑚2

Correct answer: 18𝑐𝑚2

An isosceles right triangle has two equal legs, which serve as its base and height. Since one leg is 6 cm, the other leg is also 6 cm. The 'surface area' of a 2D shape refers to its area, calculated using the formula (1/2) * base * height. Therefore, the area is (1/2) * 6 cm * 6 cm = (1/2) * 36 cm² = 18 cm².

TABE Math Computations Practice Test 1

43 x 4 = ?