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Singapore Math 5B · Original independent course

Chapter 15 Review

Formative chapter review. Work independently, then reveal the feedback.

Original assessment

1 · MATH-5B-C15-REVIEW-Q01

In a 100-square grid, 20 cells are shaded. Give percent and simplest fraction.

Show worked answer (after attempting)
Answer: 20% and 1/5

20/100=1/5.

2 · MATH-5B-C15-REVIEW-Q02

Explain why a 100-square model shading 20 squares represents 20% rather than 20/10 of the whole.

Show worked answer (after attempting)
Answer: 20%

Percent counts out of exactly 100 equal cells.

3 · MATH-5B-C15-REVIEW-Q03

Reduce the fraction represented by 30 percent to lowest terms.

Show worked answer (after attempting)
Answer: 3/10

30/100 simplifies to 3/10.

4 · MATH-5B-C15-REVIEW-Q04

A fraction is 3/10. Write its equivalent percent and explain the base.

Show worked answer (after attempting)
Answer: 30%

One whole is 100 percent; scale numerator and denominator accordingly.

5 · MATH-5B-C15-REVIEW-Q05

Convert decimal 0.4 to percent; explain multiplication by 100.

Show worked answer (after attempting)
Answer: 40%

0.4×100%=40%.

6 · MATH-5B-C15-REVIEW-Q06

A display says 40% full. What decimal part of its capacity is used?

Show worked answer (after attempting)
Answer: 0.4

40/100=0.4.

7 · MATH-5B-C15-REVIEW-Q07

Turn fraction 1/2 into a percent using a denominator of 100.

Show worked answer (after attempting)
Answer: 50%

1/2×100=50%.

8 · MATH-5B-C15-REVIEW-Q08

In a grid of 8 equal cells, 4 are shaded. What percentage is shaded?

Show worked answer (after attempting)
Answer: 50%

4/8=1/2=50%.

9 · MATH-5B-C15-REVIEW-Q09

An event has 500 attendees; 60% choose lunch. Find the count.

Show worked answer (after attempting)
Answer: 300

500×60/100=300.

10 · MATH-5B-C15-REVIEW-Q10

300 attendees represent 60% of a club. How many attend in all?

Show worked answer (after attempting)
Answer: 500

300 ÷ (60/100)=500.

11 · MATH-5B-C15-REVIEW-Q11

A budget of $520 rises by 70%. Calculate both the increase and revised total.

Show worked answer (after attempting)
Answer: $364 increase; $884 total

70% of 520 is 364; add to original $520.

12 · MATH-5B-C15-REVIEW-Q12

An event fee of $520 is reduced by 70%. What fee remains?

Show worked answer (after attempting)
Answer: $156

Find 70% of the original price, then subtract.