4th Grade Multistep Word Problems Test Solutions and Scoring (PDF)

\(m = 6 \times 18 – 75\). \(6 \times 18 = 108\), and \(108 – 75 = 33\).

33 muffins

Scoring: 1 point for a correct equation. 1 point for 33.

\(96 \div 8 = 12\), then \(12 + 5 = 17\).

17 beads

Scoring: 1 point for 12 beads in each bag. 1 point for 17.

\(100 \div 7 = 14 \text{ R } 2\) because \(7 \times 14 = 98\).

Two campers still need a bed, so round up.

15 cabins

Scoring: 1 point for 14 R 2. 1 point for rounding up to 15.

Estimate: \(4 \times 40 + 20 = 180\).

Exact: \(4 \times 38 = 152\), and \(152 + 17 = 169\).

about \(\$180.00\); exactly \(\$169.00\)

Scoring: 1 point for the estimate. 1 point for the exact total.

Brother: \(4 \times 45 = 180\).

Together: \(45 + 180 = 225\).

\(\$225.00\)

Scoring: 1 point for $180. 1 point for $225.

\(m = 120 – 36 – 3 \times 18\). \(3 \times 18 = 54\); \(120 – 36 = 84\); \(84 – 54 = 30\).

\(\$30.00\)

Scoring: 1 point for a correct equation. 1 point for $30.

1. \(3 \times 48 = 144\). 144 peaches
2. \(144 – 25 = 119\). 119 peaches
3. \(119 \div 8 = 14 \text{ R } 7\) because \(8 \times 14 = 112\). 14 full bags; 7 peaches left over

Scoring: 1 point for each part.

1. \(7 \times 40 + 20 = 280 + 20 = 300\). about 300
2. 400 is 100 more than the estimate, which is too far. Her answer is not reasonable.
3. \(7 \times 38 = 266\), and \(266 + 24 = 290\). 290

Scoring: 1 point for each part.

All pouches: \(5 \times 36 = 180\).

Left: \(180 – 148 = 32\).

Each team: \(32 \div 4 = 8\).

8 pouches

Scoring: 1 point for 32 pouches left. 1 point for 8 pouches each.