Understanding Division: math test solutions, Grade 3 – download the PDF

1 Division facts / 3 pts

a) \(14 \div 2 = 7\) (0.5 pt)

b) \(49 \div 7 = 7\) (0.5 pt)

c) \(90 \div 10 = 9\) (0.5 pt)

d) \(24 \div 8 = 3\) (0.5 pt)

e) \(18 \div 9 = 2\) (0.5 pt)

f) \(81 \div 9 = 9\) (0.5 pt)

2 Vocabulary and related facts / 3 pts

a) The dividend is 48, the divisor is 6 and the quotient is 8. (1.5 pt)

b) \(8 \times 6 = 48\) (or \(6 \times 8 = 48\)). (0.5 pt)

c) \(48 \div 8 = 6\). (1 pt)

3 Fact families / 3 pts

a) \(4 \times 9 = 36\), \(9 \times 4 = 36\), \(36 \div 4 = 9\) and \(36 \div 9 = 4\). (0.5 pt for each fact, 2 pts in all)

b) The two small numbers are the same, so the two multiplications are identical (\(5 \times 5 = 25\)) and the two divisions are identical (\(25 \div 5 = 5\)). Only two different facts remain. (1 pt)

4 Unknown numbers / 3 pts

a) \(n = 42 \div 7 = 6\). (1 pt)

b) \(7 \times n = 56\), so \(n = 8\). (1 pt)

c) \(n = 5 \times 9 = 45\). (1 pt)

5 Word problems / 4 pts

a) \(56 \div 7 = 8\) (1 pt). There are 8 crayons in each box. (1 pt)

b) \(30 \div 6 = 5\) (1 pt). She makes 5 rows. (1 pt)

6 The library shelves / 4 pts

a) \(80 \div 10 = 8\) (1 pt). There are 8 books on each shelf. (1 pt)

b) \(8 \div 4 = 2\) (1 pt). Each box gets 2 books. (1 pt)