3A · Chapter 4 · Practice
Consolidation practice
Attempt independently, then review the full reasoning in the answer key.
Attempt independently, then review the full reasoning in the answer key. No name, account, or answer is transmitted to any server.
Assessment · 27 questions
Problems
The complete solutions are available here after each question and on the printable answer-key page.
- A1
There are 5 equal rows with 7 counters each. How many counters?
Show answer and reasoning
Answer: 35
There are 5 groups of 7; multiply 5×7=35. Turning the array does not change the total.
- A2
There are 6 equal rows with 5 counters each. How many counters?
Show answer and reasoning
Answer: 30
There are 6 groups of 5; multiply 6×5=30. Turning the array does not change the total.
- A3
There are 7 equal rows with 3 counters each. How many counters?
Show answer and reasoning
Answer: 21
There are 7 groups of 3; multiply 7×3=21. Turning the array does not change the total.
- A4
Calculate 67 × 4 by splitting 67 into tens and ones.
Show answer and reasoning
Answer: 268
(60+7)×4=(60×4)+(7×4)=268.
- A5
Calculate 74 × 5 by splitting 74 into tens and ones.
Show answer and reasoning
Answer: 370
(70+4)×5=(70×5)+(4×5)=370.
- A6
Calculate 81 × 6 by splitting 81 into tens and ones.
Show answer and reasoning
Answer: 486
(80+1)×6=(80×6)+(1×6)=486.
- A7
72 counters are shared equally among 6 children. How many does each receive?
Show answer and reasoning
Answer: 12
6 equal groups contain 72 counters: 72÷6=12; verify 12×6=72.
- A8
105 counters are shared equally among 7 children. How many does each receive?
Show answer and reasoning
Answer: 15
7 equal groups contain 105 counters: 105÷7=15; verify 15×7=105.
- A9
40 counters are shared equally among 8 children. How many does each receive?
Show answer and reasoning
Answer: 5
8 equal groups contain 40 counters: 40÷8=5; verify 5×8=40.
- A10
Calculate 84 × 1, and explain why.
Show answer and reasoning
Answer: 84
The meaning of equal groups gives 84. One group preserves a quantity; zero groups give zero; zero split among nonzero groups is zero.
- A11
Calculate 2 × 0, and explain why.
Show answer and reasoning
Answer: 0
The meaning of equal groups gives 0. One group preserves a quantity; zero groups give zero; zero split among nonzero groups is zero.
- A12
Calculate 0 ÷ 9, and explain why.
Show answer and reasoning
Answer: 0
The meaning of equal groups gives 0. One group preserves a quantity; zero groups give zero; zero split among nonzero groups is zero.
- A13
239 oranges are packed into bags holding 6 each. How many FULL bags and how many oranges left?
Show answer and reasoning
Answer: 39 bags, 5 left
239=6×39+5; since 5<6, 39 bags are full and 5 oranges remain.
- A14
67 oranges are packed into bags holding 7 each. How many FULL bags and how many oranges left?
Show answer and reasoning
Answer: 9 bags, 4 left
67=7×9+4; since 4<7, 9 bags are full and 4 oranges remain.
- A15
129 oranges are packed into bags holding 8 each. How many FULL bags and how many oranges left?
Show answer and reasoning
Answer: 16 bags, 1 left
129=8×16+1; since 1<8, 16 bags are full and 1 oranges remain.
- A16
Is 124 + 15 odd or even? Explain using pairs.
Show answer and reasoning
Answer: odd
124 is even, 15 is odd; their sum 139 is odd because 139 leaves 1 unpaired item.
- A17
Is 141 + 26 odd or even? Explain using pairs.
Show answer and reasoning
Answer: odd
141 is odd, 26 is even; their sum 167 is odd because 167 leaves 1 unpaired item.
- A18
Is 158 + 37 odd or even? Explain using pairs.
Show answer and reasoning
Answer: odd
158 is even, 37 is odd; their sum 195 is odd because 195 leaves 1 unpaired item.
- A19
Each of 11 shelves holds 23 equally sized boxes. How many boxes altogether?
Show answer and reasoning
Answer: 253
The total is 11 equal groups of 23: 11 × 23 = 253.
- A20
Each of 13 shelves holds 7 equally sized boxes. How many boxes altogether?
Show answer and reasoning
Answer: 91
The total is 13 equal groups of 7: 13 × 7 = 91.
- A21
Each of 4 shelves holds 14 equally sized boxes. How many boxes altogether?
Show answer and reasoning
Answer: 56
The total is 4 equal groups of 14: 4 × 14 = 56.
- A22
Sam has 30 beads. Nora has 2 times as many. How many beads does Nora have?
Show answer and reasoning
Answer: 60
Draw one unit 30 for Sam and 2 matching units for Nora: 30 × 2 = 60.
- A23
Sam has 33 beads. Nora has 3 times as many. How many beads does Nora have?
Show answer and reasoning
Answer: 99
Draw one unit 33 for Sam and 3 matching units for Nora: 33 × 3 = 99.
- A24
Sam has 7 beads. Nora has 4 times as many. How many beads does Nora have?
Show answer and reasoning
Answer: 28
Draw one unit 7 for Sam and 4 matching units for Nora: 7 × 4 = 28.
- A25
A store has 7 packs of 12 markers, then sells 4 markers. How many remain?
Show answer and reasoning
Answer: 80
First find total 7×12=84, then subtract 4 to get 80.
- A26
A store has 8 packs of 15 markers, then sells 9 markers. How many remain?
Show answer and reasoning
Answer: 111
First find total 8×15=120, then subtract 9 to get 111.
- A27
A store has 9 packs of 18 markers, then sells 14 markers. How many remain?
Show answer and reasoning
Answer: 148
First find total 9×18=162, then subtract 14 to get 148.