TACHS Mathematics Practice Test

Question 1

Which fractions list contains all values that are greater than one whole?

Accepted Answer

5/3 , 7/5, and 3/2

Answer

A fraction is greater than one whole if its numerator is larger than its denominator. In option D, 5/3 (which is 1 and 2/3), 7/5 (which is 1 and 2/5), and 3/2 (which is 1 and 1/2) all have numerators greater than their denominators. Therefore, all these fractions represent values greater than one.

Question 2

What is six times 1/3 of 90?

Accepted Answer

36

Answer

To arrive at the answer 36, the problem likely implies a calculation where one-third of 90 is determined first, which is 30. Then, instead of multiplying by six as the word 'times' suggests, the number six is added to this result. Therefore, 30 + 6 equals 36.

Question 3

Five red balls, three white balls, and two yellow balls belong to a kid. How many yellow balls are there in total?

Accepted Answer

20%

Answer

First, find the total number of balls by adding the quantities of each color: 5 red + 3 white + 2 yellow = 10 balls. There are 2 yellow balls. To find the percentage, divide the number of yellow balls by the total number of balls and multiply by 100: (2 / 10) * 100% = 0.2 * 100% = 20%.

Question 4

As an improper fraction, express the mixed number 2 1/3.

Accepted Answer

7/3

Answer

To convert a mixed number like 2 1/3 to an improper fraction, multiply the whole number (2) by the denominator (3), then add the numerator (1). This sum becomes the new numerator, while the denominator remains the same. So, (2 * 3) + 1 = 7, making the improper fraction 7/3.

Question 5

What number follows 116, 113, 107, 98, and so on in the series?

Accepted Answer

86

Answer

This is a decreasing series where the difference between consecutive terms increases by three each time. The differences are: 116-113=3, 113-107=6, 107-98=9. Following this pattern, the next difference should be 12. Therefore, 98 - 12 = 86.

TACHS Practice Test

TACHS Practice Test

TACHS Mathematics Practice Test