MATHEMATICS - MULTIPLYING FRACTIONS

Multiplying Fractions Worksheet

10 questions
Estimate, multiply and divide proper fractions.
Difficulty: Hard
Board: CAIE
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Here are the first 3 questions. Click “View all questions” to see the complete assessment.

Q1.
Calculate and simplify $\frac{14}{15}\times\frac{9}{28}\times\frac{5}{6}$ .

A) $\frac{5}{12}$
B) $\frac{7}{18}$
C) $\frac{3}{8}$
D) $\frac{1}{4}$

Q2.
Which proper fraction makes $\frac{5}{8}\times x=\frac{15}{32}$ true?

A) $\frac{4}{5}$
B) $\frac{3}{4}$
C) $\frac{5}{8}$
D) $\frac{3}{5}$

Q3.
Which fraction is the closest estimate for $\frac{11}{12}\times\frac{7}{15}$ ?

A) $\frac{3}{5}$
B) $\frac{2}{5}$
C) $\frac{1}{2}$
D) $\frac{1}{3}$

Q4.
A tank is $\frac{7}{9}$ full. A gardener uses $\frac{3}{14}$ of the water currently in the tank. What fraction of the tank's total capacity is used?

A) $\frac{1}{6}$
B) $\frac{2}{9}$
C) $\frac{5}{18}$
D) $\frac{1}{7}$

Q5.
Calculate $\frac{5}{12}\div\frac{7}{18}$ and give the answer in its simplest form.

A) $\frac{35}{72}$
B) $\frac{15}{14}$
C) $\frac{35}{216}$
D) $\frac{14}{15}$

Q6.
Which expression has the greatest value?

A) $\frac{3}{4}\times\frac{5}{6}$
B) $\frac{5}{6}\times\frac{4}{5}$
C) $\frac{7}{8}\times\frac{2}{3}$
D) $\frac{9}{10}\times\frac{3}{4}$

Q7.
A bag contains $\frac{5}{6}\text{ kg}$ of flour. A baker uses $\frac{3}{5}$ of the flour in the bag. How much flour remains?

A) $\frac{2}{3}\text{ kg}$
B) $\frac{1}{2}\text{ kg}$
C) $\frac{1}{3}\text{ kg}$
D) $\frac{1}{4}\text{ kg}$

Q8.
Evaluate $\left(\frac{7}{10}\div\frac{14}{15}\right)\times\frac{3}{8}$ .

A) $\frac{7}{32}$
B) $\frac{9}{16}$
C) $\frac{21}{40}$
D) $\frac{9}{32}$

Q9.
The diagram shows a fraction of a whole rectangle shaded blue. Part of the blue region is crosshatched. What fraction of the whole rectangle is crosshatched?

Diagram for question 9: The diagram shows a fraction of a whole rectangle shaded blue. Part of the blue region is crosshatched. What…

A) $\frac{2}{5}$
B) $\frac{1}{5}$
C) $\frac{3}{5}$
D) $\frac{3}{10}$

Q10.
The figure shows the dimensions of a rectangular sign and the fraction of its surface that will be painted. What area of the sign will be painted?

Diagram for question 10: The figure shows the dimensions of a rectangular sign and the fraction of its surface that will be painted.…

A) $\frac{5}{8}\text{ m}^{2}$
B) $\frac{7}{20}\text{ m}^{2}$
C) $\frac{35}{48}\text{ m}^{2}$
D) $\frac{7}{16}\text{ m}^{2}$

What this assessment covers

Concepts Tested

multiplying fractions
Estimate, multiply and divide proper fractions.

Question Mix

Hard questions included

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Assessment details

Total questions:: 10
Subject:: Mathematics
Topic:: Multiplying Fractions
Difficulty:: Hard
Grade:: Grade 6
Board:: CAIE
Marks:: 10.00

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Q1. Calculate and simplify 14/15 × 9/28 × 5/6.

Q2. Which proper fraction makes 5/8 × x = 15/32 true?

Q3. Which fraction is the closest estimate for 11/12 × 7/15?

Q4. A tank is 7/9 full. A gardener uses 3/14 of the water currently in the tank. What fraction of the tank's total capacity is used?

Q5. Calculate 5/12 ÷ 7/18 and give the answer in its simplest form.

Q6. Which expression has the greatest value?

Q7. A bag contains 5/6 kg of flour. A baker uses 3/5 of the flour in the bag. How much flour remains?

Q8. Evaluate (7/10 ÷ 14/15 ) × 3/8.

Q9. The diagram shows a fraction of a whole rectangle shaded blue. Part of the blue region is crosshatched. What fraction of the whole rectangle is crosshatched?

Q10. The figure shows the dimensions of a rectangular sign and the fraction of its surface that will be painted. What area of the sign will be painted?