22 problems graded by difficulty (★ easy, ★★ medium, ★★★ hard). Try first, without looking at the solutions!
2 Percents and decimals ★★★
a) Write 7% as a decimal.
b) Write 0.4 as a percent.
c) Write \( \dfrac{3}{8} \) as a percent.
d) Find 12% of 50.
3 Up 10%, down 10% ★★★
A 60-pound bag of sand is increased by 10% in one case and decreased by 10% in another. Find the two new weights.
4 Sneaker sale ★★★
Sneakers cost $80 and are 25% off. Find the discount and the sale price.
5 Book with tax ★★★
A book costs $25 and the sales tax is 8%. What is the total?
6 Tipping at dinner ★★★
A dinner bill is $40. Find a 15% tip and a 20% tip.
7 A small savings account ★★★
You deposit $500 at 3% simple interest for 2 years. Find the interest and the final balance.
8 Find the percent increase ★★★
A town library had 40 computers and now has 52. What is the percent increase?
9 Find the percent decrease ★★★
A game console costs $250 and goes on sale for $200. What is the percent decrease?
10 Store markup ★★★
A store buys a backpack for $36 and uses a 45% markup. Find the markup and the selling price.
11 Tax on a purchase ★★★
A pair of boots costs $120 and the sales tax rate is 6.5%. Find the tax and the total cost.
12 Salesperson pay ★★★
A salesperson earns a $400 weekly base pay plus an 8% commission. Last week she sold $9,500 worth of goods. How much did she earn?
13 Measuring a ruler ★★★
A stick is exactly 10 centimeters long. A student measures it as 9.6 centimeters. Find the percent error.
14 Monthly sales chart ★★★
The bar chart shows the monthly sales of a bike shop, in thousands of dollars.
Find the percent change from January to February, from February to March, and from March to April. Say whether each is an increase or a decrease.
15 Find the original price ★★★
After a 30% discount, a jacket costs $42. What was the original price?
16 Up 20%, then down 20% ★★★
A price of $50 goes up 20%, and then the new price goes down 20%. Is the final price $50? Find the net percent change.
17 How long was the deposit? ★★★
A deposit of $2,000 earns $360 of simple interest at a rate of 4.5% per year. For how many years was the money invested?
18 Find the interest rate ★★★
You invest $1,200 for 3 years and earn $216 of simple interest. What is the annual rate?
19 Restaurant total ★★★
A meal costs $55 before tax. The sales tax is 8% and the diner tips 18% of the pre-tax price. Find the total amount paid.
20 Two-tier commission ★★★
An agent earns 5% on the first $4,000 of sales and 8% on every dollar of sales above $4,000. How much does she earn on $7,500 of sales?
21 Which scale is better? ★★★
A bag of flour weighs exactly 160 ounces. Scale A reads 148 ounces and scale B reads 157 ounces. Find each percent error and decide which scale is more accurate.
22 Card fee ★★★
An online store pays a fee of 2.9% plus $0.30 on each card payment. A customer pays $50. How much does the store keep?
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