Chapter 1 — practice examination

Semester 4A · Chapter 1 · 34 questions

Independent practice examination. Attempt without consulting the solutions. Suggested use: untimed conceptual practice. Total 89 points. Draw diagrams and explain reasoning when requested.

Question 1 · calculation · 2 points

In 51,079, what is the value of the digit in the ten-thousands place?

Question 2 · explanation · 2 points

Find 12,412 − 11,412 and explain the place-value change.

Question 3 · application · 3 points

How many complete groups of 10 can be made from 81,005 objects, and how many remain?

Question 4 · calculation · 2 points

In 16,272, what is the value of the digit in the ten-thousands place?

Question 5 · explanation · 2 points

Find 47,378 − 46,378 and explain the place-value change.

Question 6 · application · 3 points

How many complete groups of 100 can be made from 81,744 objects, and how many remain?

Question 7 · calculation · 2 points

In 78,807, what is the value of the digit in the ten-thousands place?

Question 8 · explanation · 2 points

Find 238,432 − 237,432 and explain the place-value change.

Question 9 · application · 3 points

How many complete groups of 100 can be made from 836,761 objects, and how many remain?

Question 10 · calculation · 2 points

In 353,980, what is the value of the digit in the hundred-thousands place?

Question 11 · explanation · 2 points

Find 456,669 − 455,669 and explain the place-value change.

Question 12 · application · 3 points

How many complete groups of 10 can be made from 302,721 objects, and how many remain?

Question 13 · calculation · 2 points

In 542,696, what is the value of the digit in the hundred-thousands place?

Question 14 · explanation · 2 points

Find 945,534 − 935,534 and explain the place-value change.

Question 15 · application · 3 points

A sequence begins at 676,500 and increases by 250 each time. What is its fifth term?

Question 16 · pattern · 2 points

Extend this pattern: 190,687, 190,787, 190,887, ___.

Question 17 · pattern · 2 points

Extend this pattern: 700,335, 705,335, 710,335, ___.

Question 18 · application · 3 points

A sequence begins at 693,557 and increases by 50 each time. What is its fifth term?

Question 19 · pattern · 2 points

Extend this pattern: 530,049, 535,049, 540,049, ___.

Question 20 · pattern · 2 points

Extend this pattern: 379,072, 384,072, 389,072, ___.

Question 21 · application · 3 points

A sequence begins at 600,942 and increases by 100 each time. What is its fifth term?

Question 22 · comparison · 2 points

Insert <, >, or =: 181,994 ___ 178,979.

Question 23 · comparison · 2 points

Insert <, >, or =: 184,403 ___ 199,590.

Question 24 · ordering · 2 points

Order these numbers from least to greatest: 937,209, 942,835, 240,822.

Question 25 · comparison · 2 points

Insert <, >, or =: 837,632 ___ 857,395.

Question 26 · comparison · 2 points

Insert <, >, or =: 983,097 ___ 965,340.

Question 27 · ordering · 2 points

Order these numbers from least to greatest: 722,734, 716,040, 547,753.

Question 28 · error analysis · 4 points

A student says the 8 in 84,105 means 8 ones. Explain its actual value.

Question 29 · error analysis · 4 points

A student removes the zeros from 204,006, saying zeros never affect place value. Explain why this is incorrect.

Question 30 · error analysis · 4 points

A student predicts 17,455 after the pattern 16,455, 16,705, 16,955. Explain and give the correct next term.

Question 31 · error analysis · 4 points

Which is greater, 128,090 or 129,010? A student compares only the last digit. Explain the mistake.

Question 32 · error analysis · 4 points

A student rounds 40,450 to the nearest hundred as 40,400. Explain why this is wrong.

Question 33 · error analysis · 4 points

A student rounds 357,500 down to 357,000 to the nearest thousand. Explain and correct it.

Question 34 · error analysis · 4 points

A learner multiplies 4,100 by 100 and writes 41,000. Identify the scaling mistake and give the correct result.

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