Percent Problems Test Answer Key with Scoring – Grade 7

Question 1 Tip on Dinner (2 points)

Tip: 0.20 × 52 = 10.40.

Total: 52 + 10.40 = 62.40.

tip $10.40; total $62.40

Scoring: 1 point for the tip, 1 point for the total.

Question 2 Jeans Sale and Tax (2 points)

Sale price: 64 × 0.65 = 41.60.

Tax: 41.60 × 0.075 = 3.12.

Total: 41.60 + 3.12 = 44.72.

$44.72

Scoring: 1 point for the sale price, 1 point for the total with tax.

Question 3 Simple Interest Account (3 points)

(a) 1,500 × 0.042 × 5 = 315.

(b) 1,500 + 315 = 1,815.

(c) Each year earns 1,500 × 0.042 = 63, so 126 ÷ 63 = 2 years.

$315; $1,815; 2 years

Scoring: 1 point per part.

Question 4 Weekly Pay with Commission (3 points)

(a) 0.035 × 6,800 = 238.

(b) 450 + 238 = 688.

(c) 800 − 450 = 350 from commission, and 350 ÷ 0.035 = 10,000.

$238; $688; $10,000 in sales

Scoring: 1 point per part.

Question 5 Pie Shop Markup (3 points)

(a) 0.55 × 4.20 = 2.31.

(b) 4.20 + 2.31 = 6.51.

(c) 12 × 6.51 = 78.12.

$2.31; $6.51; $78.12

Scoring: 1 point per part.

Question 6 Price Before Tax (3 points)

(a) The total is 106% of the price: 1.06 × price = 63.60, so price = 63.60 ÷ 1.06 = 60.00.

(b) 63.60 − 60.00 = 3.60.

$60.00; $3.60

Scoring: 1 point for the equation, 1 point for the price, 1 point for the tax.

Question 7 Two Discounts (2 points)

(a) 200 × 0.70 = 140, and 140 × 0.85 = 119.

(b) A 45% discount gives 200 × 0.55 = 110. Since 119 ≠ 110, it is not the same: the second discount applies to a smaller price.

$119; no

Scoring: 1 point for the price, 1 point for the explanation.

Question 8 Ticket with Fees (2 points)

Service fee: 0.12 × 45 = 5.40.

Total: 45 + 5.40 + 3 = 53.40.

$53.40

Scoring: 1 point for the service fee, 1 point for the total.