Multi-Digit and Decimal Operations: math test solutions, Grade 6 – download the PDF

1 Whole-number operations / 4 pts

(a) \(63 \times 8 = 504\) and \(63 \times 40 = 2{,}520\); the product is \(3{,}024\). (1 pt)

(b) \(31 \times 228 = 7{,}068\), so the quotient is 228. (2 pts)

(c) \(36 \times 27 = 972\) and \(1{,}000 - 972 = 28\): the quotient is 27 and the remainder is 28. (1 pt)

2 Adding and subtracting decimals / 3 pts

(a) \(18.60 + 7.45 = 26.05\). (1 pt)

(b) \(30.000 - 12.875 = 17.125\). (1 pt)

(c) \(4.20 + 0.38 = 4.58\), then \(4.58 - 2.90 = 1.68\). (1 pt)

3 Multiplying and dividing decimals / 4 pts

(a) \(28 \times 35 = 980\), 3 decimal places: \(0.98\). (1 pt)

(b) \(72 \div 90 = 0.8\). (1 pt)

(c) \(156 \div 12 = 13\). (1 pt)

(d) \(55 \times 4 = 220\), 3 decimal places: \(0.22\). (1 pt)

4 Estimation / 3 pts

(a) \(20 \times 4 = 80\) (the exact product is 81.18). (1 pt)

(b) \(60 \div 6 = 10\). (1 pt)

(c) \(6 \times 0.8 = 4.8\), so the product should be close to 5, not 49.6. Correct: \(62 \times 8 = 496\), 2 decimal places: \(4.96\). (1 pt)

5 Hiking club budget / 3 pts

Bottles: \(24 \times 1.85 = 44.40\). (1 pt)

Kits: \(2 \times 12.95 = 25.90\); total \(44.40 + 25.90 = 70.30\). (1 pt)

Left: \(75 - 70.30 = 4.70\). The club has 4.70 dollars left. (1 pt)

6 Ribbon / 3 pts

(a) \(2.4 \div 0.15 = 240 \div 15 = 16\) pieces. (1 pt)

(b) \(4.80 \div 2.4 = 2\) dollars per meter. (1 pt)

(c) \(4.80 \div 16 = 0.30\) dollars, or \(0.15 \times 2 = 0.30\) dollars. (1 pt)