TCAP Math Problem Solving 5

Question 1

A survey found that 60% of 150 students prefer math over science. How many students prefer math?

Accepted Answer

90

Answer

60% × 150 = 0.60 × 150 = 90 students.

Question 2

The ratio of boys to girls in a class is 3:5. If there are 24 boys, how many girls are there?

Accepted Answer

40

Answer

If 3 parts = 24, then 1 part = 8; girls = 5 × 8 = 40.

Question 3

A pattern starts at 2 and each term is found by multiplying the previous term by 3. What is the 5th term?

Accepted Answer

162

Answer

The sequence is 2, 6, 18, 54, 162; the 5th term is 162.

Question 4

If the area of a square is 144 cm², what is the length of one side?

Accepted Answer

12 cm

Answer

Side = √144 = 12 cm.

Question 5

A bookshelf holds 8 books per shelf and has 6 shelves. If 18 books are removed, how many remain?

Accepted Answer

30

Answer

Total = 8 × 6 = 48 books; 48 − 18 = 30 books remain.

(TCAP) Tennessee Comprehensive Assessment Program Practice Test