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Percent Applications: math test solutions, Grade 7 – download the PDF

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Test solutions Grade 7 : Percent Applications — 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 Quick calculations / 4 pts

a) \( 0.15 \times 360 = 54 \). (1 pt)

b) \( 0.06 \times 45 = 2.7 \). (1 pt)

c) \( 0.035 = 3.5\% \). (1 pt)

d) \( 5 \div 8 = 0.625 = 62.5\% \). (1 pt)

2 Percent change / 3 pts

a) \( \dfrac{80 - 64}{64} = \dfrac{16}{64} = 0.25 = 25\% \) increase. (1.5 pts)

b) \( \dfrac{90 - 72}{90} = \dfrac{18}{90} = 0.20 = 20\% \) decrease. (1.5 pts)

3 Discount and markup / 4 pts

a) Discount: \( 0.40 \times 75 = 30 \) (1 pt). Sale price: \( 75 - 30 = 45 \) dollars (1 pt).

b) Markup: \( 0.75 \times 28 = 21 \) (1 pt). Selling price: \( 28 + 21 = 49 \) dollars (1 pt).

4 Tax and tip / 3 pts

Tax: \( 0.085 \times 64 = 5.44 \) dollars. (1 pt)

Tip: \( 0.20 \times 64 = 12.80 \) dollars. (1 pt)

Total: \( 64 + 5.44 + 12.80 = 82.24 \) dollars. (1 pt)

5 Simple interest / 3 pts

\( I = 2400 \times 0.035 \times 4 = 336 \) dollars. (2 pts)

Balance: \( 2400 + 336 = 2736 \) dollars. (1 pt)

6 Commission and percent error / 3 pts

a) \( 0.025 \times 18000 = 450 \) dollars. (1.5 pts)

b) \( \dfrac{|240 - 250|}{250} = \dfrac{10}{250} = 0.04 = 4\% \). (1.5 pts)

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