Chapter 2 — practice examination

Semester 4A · Chapter 2 · 33 questions

Independent practice examination. Attempt without consulting the solutions. Suggested use: untimed conceptual practice. Total 83 points. Draw diagrams and explain reasoning when requested.

Question 1 · calculation · 2 points

Calculate 162,507 + 49,324.

Question 2 · strategy · 2 points

Use compensation to add 677,167 and 20,980. What is the exact sum?

Question 3 · bar model · 3 points

Alex and Bea have 342,122 points together. Bea has 1,170 more than Alex. How many does Alex have?

Question 4 · calculation · 2 points

Calculate 696,950 − 85,716.

Question 5 · strategy · 2 points

Calculate 642,793 − 180,114 by adding 50 to both quantities first. What answer do you get?

Question 6 · calculation · 2 points

Calculate 748,366 − 209,823.

Question 7 · strategy · 2 points

Calculate 237,011 − 78,935 by adding 50 to both quantities first. What answer do you get?

Question 8 · calculation · 2 points

Calculate 559,691 + 137,222.

Question 9 · strategy · 2 points

Use compensation to add 269,765 and 61,123. What is the exact sum?

Question 10 · application · 3 points

A library had 268,681 books, received 203,486 more, then lent 101,743. How many books are there now?

Question 11 · strategy · 2 points

Use compensation to add 31,769 and 159,091. What is the exact sum?

Question 12 · bar model · 3 points

Alex and Bea have 1,235,597 points together. Bea has 1,793 more than Alex. How many does Alex have?

Question 13 · calculation · 2 points

Calculate 492,429 − 96,432.

Question 14 · strategy · 2 points

Calculate 244,012 − 14,336 by adding 100 to both quantities first. What answer do you get?

Question 15 · calculation · 2 points

Calculate 193,914 + 214,331.

Question 16 · strategy · 2 points

Calculate 251,947 − 44,959 by adding 50 to both quantities first. What answer do you get?

Question 17 · calculation · 2 points

Calculate 455,874 + 52,640.

Question 18 · strategy · 2 points

Use compensation to add 187,063 and 103,407. What is the exact sum?

Question 19 · application · 3 points

A library had 326,030 books, received 174,022 more, then lent 87,011. How many books are there now?

Question 20 · calculation · 2 points

Calculate 803,861 − 139,232.

Question 21 · bar model · 3 points

Alex and Bea have 454,917 points together. Bea has 5,429 more than Alex. How many does Alex have?

Question 22 · calculation · 2 points

Calculate 394,493 − 14,107.

Question 23 · strategy · 2 points

Calculate 787,896 − 208,740 by adding 1000 to both quantities first. What answer do you get?

Question 24 · calculation · 2 points

Calculate 404,021 + 216,541.

Question 25 · strategy · 2 points

Use compensation to add 604,732 and 209,810. What is the exact sum?

Question 26 · calculation · 2 points

Calculate 150,574 + 168,177.

Question 27 · strategy · 2 points

Use compensation to add 143,953 and 45,359. What is the exact sum?

Question 28 · reasoning · 4 points

Find 41,800 + 270 without losing the hundreds and tens. Explain how place values align.

Question 29 · reasoning · 4 points

Find 67,002 − 9 and explain how regrouping across zeros works.

Question 30 · error analysis · 4 points

A student says 299 + 36 = 300 + 36. Identify the compensation error and find the actual sum.

Question 31 · reasoning · 4 points

Explain why 565 − 193 = 567 − 195. Find the common difference.

Question 32 · error analysis · 4 points

Two classes collect 12580 cans. Class B collects 2582 more than Class A. A student divides the total by 2 without removing the difference. Explain the mistake and find Class A.

Question 33 · reasoning · 4 points

Find 24,800 + 260 without losing the hundreds and tens. Explain how place values align.

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