Semester 3A practice examination

Calculate 796 + 208 using compensation and show the corrected adjustment.

Write “seven thousand thirty-six” in digits and expanded form.

Find 8 × 400 using place-value groups.

Describe two different equal-group stories for 6 × 5. Give the product.

Calculate 3,485 + 2,769, showing the regrouping from ones to tens.

Calculate 960 ÷ 3 using place value.

A bar graph shows club members. How many fewer members does Willow have than Cypress?

Find 905 − 398 using two methods: (1) subtract 300 and then 98; (2) add 2 to both numbers. Explain why both work.

In 9,404, what is the value of the first 4? How many tens equal that value?

Find 31 × 3 by breaking apart tens and ones.

Use 8 × (10 − 3) to find 8 × 7.

Calculate 5,206 − 1,897 and check by addition.

Calculate 84 ÷ 2 and 94 ÷ 2. Explain why only the second calculation requires exchanging a ten.

Using the same graph, which club has 15 members?

Fill the missing addend: 1,000 = 587 + __.

Arrange in descending order: 6,018; 6,180; 6,081; 6,108.

Calculate 47 × 6 with written regrouping.

54 stickers are divided equally among 9 students. How many does each receive?

Explain the exchange needed to calculate 7,000 − 3,658, then find the difference.

Find 75 ÷ 5 and verify by multiplication.

The table shows trays delivered by Teams A–D. How many trays did Teams A and C deliver altogether? Then draw a bar graph representing all four teams with an appropriate scale and labeled axes.

Calculate 499 + 304 mentally; explain the adjustment.

A number line has equally spaced labels 3,600; 3,750; 3,900; __. What number is next, and what is the interval?

Calculate 86 × 7; identify both exchanges.

Fill the blanks and explain: 38 × 1 = __; 38 × 0 = __; 0 ÷ 5 = __.

Estimate 4,381 + 2,678 by rounding each addend to the nearest hundred.

Calculate 526 ÷ 2. Explain the middle digit.

Teams B and D each delivered 17 trays. If the pictograph key is one symbol = 2 trays, can we draw their values using only whole symbols? Explain.

Two children have 128 cards in total. The first has 22 more than the second. Find both amounts and label equal bars.

Round the original number 5,486 separately to the nearest 10, the nearest 100, and the nearest 1,000. Do not round a previous answer.

A gardener plants 4 rows of 206 bulbs. How many bulbs?

65 beads go into bags of 8. Find the number of full bags and leftover beads.

Estimate 8,206 − 3,712 to the nearest thousand and then compute exactly.

Calculate 648 ÷ 4 and check your quotient.

A pond has 456 fish. A nearby pond has 89 fewer fish. How many fish are in the nearby pond?

Is it always correct to round a number to the nearest hundred first and then to the nearest thousand? Give a counterexample or justify your answer.

An auditorium has 7 rows of 138 seats. How many seats is that, and is 1,000 a reasonable estimate?

Is the product of an odd number and an even number always even? Explain.

A fundraiser collected $3,275 on Friday and $2,468 on Saturday, then spent $1,895 on supplies. First estimate by rounding each amount to the nearest hundred; then calculate the exact amount remaining.

Calculate 324 ÷ 4. Explain why the quotient is less than 100.

A hall seats 680. There are 249 tickets sold in the morning and 175 more in the afternoon. How many seats remain unsold?

A school orders 3 cartons of 128 pencils each and splits them equally among 4 classrooms. How many pencils per room?

Sana owns 5 times as many stamps as Wei. Wei owns 7. Draw or describe bars and calculate Sana’s stamps.

A shop sells 6 bundles of 149 tickets. Estimate by rounding 149 to the nearest ten, then find the exact number.

Lina and Omar have 90 buttons together. Lina has 14 more than Omar. Lina gives Omar 7 buttons. How many does each have after the transfer?

A group prepares 7 boxes of 9 muffins. They sell 25 muffins. How many remain, and how many complete groups of 5 can be made?