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Adding and Subtracting Decimals: math test solutions, Grade 5 – download the PDF

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Test solutions Grade 5 : Adding and Subtracting Decimals — Zyro the alien explorer of Planète Maths

Test solutions with the detailed point scale. Add up your points and spot what to review.

Suggested time: 45 minutes. Out of 20 points. Calculator allowed only when the problem says so.

1 Estimate, then calculate / 4 pts

a) Estimate: \(19 + 6 = 25\) (1 pt). Exact: \(18.70 + 6.35 = 25.05\) (1 pt).

b) Estimate: \(14 - 6 = 8\) (1 pt). Exact: \(14.20 - 5.86 = 8.34\) (1 pt).

2 Vertical calculations / 4 pts

a) \(29.64 + 7.90 = 37.54\) (1 pt).

b) \(3.47 + 12.80 + 0.05 = 16.32\) (1 pt).

c) \(50.00 - 23.46 = 26.54\) (1 pt).

d) \(8.20 - 3.77 = 4.43\) (1 pt).

3 Find the error / 3 pts

a) She lined up the last digits instead of the decimal points, so she added \(54 + 238 = 292\) (1 pt).

b) \(5.40 + 2.38 = 7.78\) (1 pt).

c) The estimate \(5 + 2 = 7\) is far from \(2.92\) but close to \(7.78\) (1 pt).

4 Missing numbers / 3 pts

a) \(12.10 - 9.35 = 2.75\) (1 pt).

b) \(3.50 + 6.48 = 9.98\) (1 pt).

c) \(4.6 + 3.75 = 8.35\) and \(9.1 - 0.8 = 8.3\), so \(4.6 + 3.75\) is greater (1 pt).

5 At the market / 3 pts

a) \(4.85 + 3.20 + 6.90 = 14.95\). The total is $14.95 (1 pt).

b) \(20.00 - 14.95 = 5.05\). Her change is $5.05 (1 pt).

c) No, because \(5.25 - 5.05 = 0.20\), so she is $0.20 short (1 pt).

6 Hiking trail / 3 pts

a) \(2.65 + 1.80 + 3.45 = 7.90\). The trail is 7.9 km long (1 pt).

b) \(7.90 - 4.90 = 3.00\). They have 3 km left (1 pt).

c) \(3.00 - 1.25 = 1.75\). They have 1.75 km left (1 pt).

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