Chapter 4 — practice examination

Semester 4A · Chapter 4 · 33 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 · calculation · 2 points

Calculate 159 × 4 using a split or friendly number.

Question 2 · calculation · 2 points

Calculate 42 × 5.

Question 3 · calculation · 2 points

Calculate 116 × 6.

Question 4 · calculation · 2 points

Calculate 267 × 60.

Question 5 · area model · 2 points

Find 18 × 66 using an area model or partial products.

Question 6 · area model · 2 points

Find 297 × 65 using an area model or partial products.

Question 7 · calculation · 2 points

Calculate 73 × 4.

Question 8 · calculation · 2 points

Calculate 185 × 3.

Question 9 · calculation · 2 points

Calculate 293 × 50.

Question 10 · area model · 2 points

Find 39 × 34 using an area model or partial products.

Question 11 · area model · 2 points

Find 153 × 35 using an area model or partial products.

Question 12 · calculation · 2 points

Calculate 26 × 4 using a split or friendly number.

Question 13 · calculation · 2 points

Calculate 162 × 3.

Question 14 · calculation · 2 points

Calculate 248 × 90.

Question 15 · area model · 2 points

Find 61 × 50 using an area model or partial products.

Question 16 · area model · 2 points

Find 245 × 54 using an area model or partial products.

Question 17 · calculation · 2 points

Calculate 94 × 2 using a split or friendly number.

Question 18 · calculation · 2 points

Calculate 43 × 8.

Question 19 · calculation · 2 points

Calculate 99 × 70.

Question 20 · area model · 2 points

Find 56 × 43 using an area model or partial products.

Question 21 · area model · 2 points

Find 352 × 54 using an area model or partial products.

Question 22 · calculation · 2 points

Calculate 28 × 6 using a split or friendly number.

Question 23 · calculation · 2 points

Calculate 89 × 5.

Question 24 · calculation · 2 points

Calculate 49 × 8.

Question 25 · area model · 2 points

Find 64 × 12 using an area model or partial products.

Question 26 · area model · 2 points

Find 385 × 37 using an area model or partial products.

Question 27 · calculation · 2 points

Calculate 28 × 9 using a split or friendly number.

Question 28 · error analysis · 4 points

A student calculates 73 × 7 using only its tens: 70 × 7. What partial product is missing and what is the correct total?

Question 29 · error analysis · 4 points

A student calculates 78 × 4 using only its tens: 70 × 4. What partial product is missing and what is the correct total?

Question 30 · error analysis · 4 points

A student calculates 73 × 8 using only its tens: 70 × 8. What partial product is missing and what is the correct total?

Question 31 · error analysis · 4 points

A student calculates 82 × 70 as 574. Explain why this is ten times too small and correct it.

Question 32 · error analysis · 4 points

A student calculates 74 × 45 by multiplying 74 by the tens digit 4 and the ones digit 5, then adding both results without shifting the tens. Explain the error and give the correct product.

Question 33 · error analysis · 4 points

A student calculates 59 × 41 by multiplying 59 by the tens digit 4 and the ones digit 1, then adding both results without shifting the tens. Explain the error and give the correct product.

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