Chapter 8 — practice examination

Semester 4A · Chapter 8 · 35 questions

Independent practice examination. Attempt without consulting the solutions. Suggested use: untimed conceptual practice. Total 78 points. Draw diagrams and explain reasoning when requested.

Question 1 · set model · 2 points

What is 1/2 of 14 counters?

Question 2 · multistep · 3 points

A shop starts with 12 items and sells 1/4. It then sells 1/3 of what remains. How many items remain?

Question 3 · bar model · 3 points

A teacher has 40 cards. She gives 2/5 of them away. How many cards remain?

Question 4 · set model · 2 points

Find 3/4 of a set of 24 objects.

Question 5 · set model · 2 points

Find 2/4 of a set of 36 objects.

Question 6 · set model · 2 points

Find 1/2 of a set of 18 objects.

Question 7 · calculation · 2 points

Calculate 1/2 × 4. Give the simplified result.

Question 8 · calculation · 2 points

Calculate 1/2 × 5. Give the simplified result.

Question 9 · calculation · 2 points

Calculate 7/8 × 5. Give the simplified result.

Question 10 · set model · 2 points

What is 1/5 of 40 counters?

Question 11 · multistep · 3 points

A shop starts with 21 items and sells 1/3. It then sells 1/2 of what remains. How many items remain?

Question 12 · bar model · 3 points

A teacher has 20 cards. She gives 8/10 of them away. How many cards remain?

Question 13 · set model · 2 points

Find 1/5 of a set of 15 objects.

Question 14 · set model · 2 points

Find 2/10 of a set of 60 objects.

Question 15 · set model · 2 points

Find 1/4 of a set of 16 objects.

Question 16 · calculation · 2 points

Calculate 1/2 × 7. Give the simplified result.

Question 17 · calculation · 2 points

Calculate 7/8 × 4. Give the simplified result.

Question 18 · calculation · 2 points

Calculate 4/6 × 8. Give the simplified result.

Question 19 · set model · 2 points

What is 1/2 of 4 counters?

Question 20 · multistep · 3 points

A shop starts with 64 items and sells 3/8. It then sells 1/2 of what remains. How many items remain?

Question 21 · bar model · 3 points

A teacher has 12 cards. She gives 4/6 of them away. How many cards remain?

Question 22 · set model · 2 points

Find 9/10 of a set of 30 objects.

Question 23 · set model · 2 points

Find 1/3 of a set of 27 objects.

Question 24 · set model · 2 points

Find 3/4 of a set of 12 objects.

Question 25 · set model · 2 points

Find 3/4 of a set of 20 objects.

Question 26 · calculation · 2 points

Calculate 3/6 × 3. Give the simplified result.

Question 27 · calculation · 2 points

Calculate 2/3 × 9. Give the simplified result.

Question 28 · set model · 2 points

What is 1/2 of 6 counters?

Question 29 · calculation · 2 points

Calculate 1/2 × 2. Give the simplified result.

Question 30 · calculation · 2 points

Calculate 4/10 × 5. Give the simplified result.

Question 31 · set model · 2 points

Find 2/4 of a set of 8 objects.

Question 32 · set model · 2 points

Find 1/4 of a set of 24 objects.

Question 33 · set model · 2 points

Find 1/2 of a set of 14 objects.

Question 34 · bar model · 2 points

A teacher has 12 cards. She gives 2/6 of them away. How many cards remain?

Question 35 · reasoning · 4 points

A shop has 33 boxes and sells 1/3 of its stock on Monday and 1/2 of what remains on Tuesday. Did it sell 5/6 of its original stock? Explain.

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