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Fractions and Decimals Questions — 5th Grade Math (End-of-Year 4th Grade Review with Answer Key)

Questions
Grade 5
English

Fractions and Decimals Questions — 5th Grade Math (End-of-Year 4th Grade Review with Answer Key)

Name: __________________________ Date: __________________________

Fractions and Decimals Diagnostic

Directions: This is not for a grade — it helps me plan our year. Show your thinking.

1. What fraction of the circle below is shaded?
fig 1: A circle divided into 8 equal parts with 5 parts shaded.
fig 1: A circle divided into 8 equal parts with 5 parts shaded.

Skill: identifying fractions with circle models

2. Look at the bar model. What fraction does the shaded part represent?
fig 2: A bar model divided into 5 equal sections with 3 sections shaded.
fig 2: A bar model divided into 5 equal sections with 3 sections shaded.

Skill: identifying fractions with bar models

3. What fraction is represented by point A on the number line below?
fig 3: A number line from 0 to 1 with ticks at 1/4 intervals and point A marked at the third tick.
fig 3: A number line from 0 to 1 with ticks at 1/4 intervals and point A marked at the third tick.

Skill: fractions on a number line

4. Which number correctly completes the equivalent fraction equation below?

1. Find the missing numerator to make the fractions equivalent.
A. 5 B. 12 C. 6 D. 4 Skill: equivalent fractions

5. Look at the two models below. Are these fractions equivalent?
fig 4: Two rectangular models: the top one shows 1/3 shaded and the bottom one shows 2/6 shaded.
fig 4: Two rectangular models: the top one shows 1/3 shaded and the bottom one shows 2/6 shaded.

2. Are the shaded areas in the two models equal?
A. Yes, they are equivalent. B. No, the second one is larger. C. No, the first one is larger. Skill: equivalent fractions with visual models

6. Which symbol correctly compares the two fractions?

3. Choose the correct comparison symbol.
A. > B. = C. < Skill: comparing fractions with unlike denominators

7. Solve the addition problem below. Show your answer in simplest form if possible.

Skill: adding fractions with like denominators

8. In the number 4.72, which digit is in the hundredths place?
4. Identify the digit in the hundredths place.
A. 7 B. None of these C. 2 D. 4 Skill: decimal place value

9. Write the decimal that is represented by the shaded part of the hundredths grid below.
fig 5: A 10x10 grid with 42 small squares shaded.
fig 5: A 10x10 grid with 42 small squares shaded.

Skill: decimals with grid models

10. Compare the two decimals below.
0.5 ________ 0.05
5. Choose the correct comparison symbol.
A. > B. = C. < Skill: comparing decimals

11. Write the fraction 1/4 as a decimal.
Skill: converting simple fractions to decimals

12. Jada went to the store with a $10.00 bill. She bought a notebook for $3.45 and a pen for $1.20. How much change did she receive? Show your work.
Skill: money and decimal word problems