Number Builders
In 648, what is the value of the 4? Write 648 in expanded form.
40; 600 + 40 + 8.
There are 4 bags with 6 marbles in each bag. Write a repeated-addition equation and find the total.
6 + 6 + 6 + 6 = 24 marbles.
Share 24 stickers equally among 4 friends. How many stickers does each friend receive?
6 stickers. 24 ÷ 4 = 6.
A pictograph’s key says ★ = 4 students. Soccer has ★★★. How many students chose soccer?
12 students. 3 × 4 = 12.
A game begins at 2:15 p.m. and ends at 2:45 p.m. How long does it last?
30 Minutes
A builder has 324 stone blocks and collects 253 more. How many blocks does the builder have now?
577 blocks. 324 + 253 = 577.
An array has 3 rows of 8 squares. If you turn it to make 8 rows of 3, does the total change? Explain.
No. Both have 24 squares. Switching the factors keeps the product the same: the commutative property.
There are 42 trading cards. Each pack holds 6 cards. How many packs can be filled? Give a multiplication fact that checks your answer.
7 packs. 42 ÷ 6 = 7; 7 × 6 = 42.
A pictograph’s key says ★ = 3 votes. A game received 18 votes. How many stars should you draw?
6 stars. 18 ÷ 3 = 6.
A building challenge starts at 3:35 p.m. and lasts 50 minutes. What time does it end?
4:25 pm
A treasure chest contains 875 gems. A player spends 342. How many gems remain?
533 gems. 875 − 342 = 533.
Find the missing number: 7 × 8 = (7 × 5) + (7 × ___). Then solve.
3; 56. 5 + 3 = 8; 35 + 21 = 56.
Write all four multiplication and division facts using 6, 8, and 48.
6 × 8 = 48; 8 × 6 = 48; 48 ÷ 6 = 8; 48 ÷ 8 = 6.
A bar graph’s scale counts by 2: 0, 2, 4, 6, 8, 10, 12. A bar ends halfway between 8 and 10. What value does it show?
9.
A rectangular floor has 4 rows of 7 unit-square tiles. What is its area?
28 square units. 4 × 7 = 28.
Solve 268 + 157. Explain one regrouping step.
425. Trade 15 ones for 1 ten and 5 ones. Then trade 12 tens for 1 hundred and 2 tens.
Solve 6 × 14 by breaking 14 into 10 + 4. Show both smaller products.
84. (6 × 10) + (6 × 4) = 60 + 24.
A player has 54 gems, spends 18, and shares the remaining gems equally among 6 teammates. How many does each teammate get?
6 gems. 54 − 18 = 36; 36 ÷ 6 = 6.
A pictograph uses ★ = 4 votes. Racing has ★★★★★ and Building has ★★★. How many more votes did Racing receive?
8 more votes. Racing: 20; Building: 12; 20 − 12 = 8.
A rectangular garden is 8 meters long and 5 meters wide. How much fencing is needed to go around it?
26 meters. 8 + 5 + 8 + 5 = 26.
A player has 700 coins, spends 286, then earns 145. How many coins does the player have now?
559 coins. 700 − 286 = 414; 414 + 145 = 559.
A student says, “8 × 16 = (8 × 10) + 6 = 86.” Find the mistake and solve correctly.
The student must multiply both parts by 8. (8 × 10) + (8 × 6) = 80 + 48 = 128.
There are 4 boxes with 3 packs in each box. Each pack contains 6 cards. All the cards are shared equally among 8 players. How many cards does each player receive?
9 cards. 4 × 3 = 12 packs; 12 × 6 = 72 cards; 72 ÷ 8 = 9.
A game survey shows Racing: 20 votes, Building: 16 votes, and Sports: 12 votes. How many more votes did Racing and Building combined receive than Sports?
24 more votes. 20 + 16 = 36; 36 − 12 = 24.
A rectangular room is 9 meters long and 6 meters wide. A student says its area is 30 square meters. Did the student find the area or perimeter? Give both correct measurements.
The student calculated the perimeter: 30 meters. The area is 54 square meters because 9 × 6 = 54.