SAT Problem Solving & Data Analysis 2

Question 1

A recipe for 12 cookies requires 3 cups of flour. How many cups of flour are needed for 30 cookies?

Accepted Answer

7.5

Answer

Flour scales proportionally: 3 cups ÷ 12 cookies × 30 cookies = 7.5 cups.

Question 2

A shirt originally priced at $40 is marked down by 25%. What is the sale price?

Accepted Answer

$30

Answer

25% of $40 is $10, so the sale price is $40 − $10 = $30.

Question 3

If 5 workers can paint a fence in 8 hours, how long would it take 10 workers at the same rate?

Accepted Answer

4 hours

Answer

Total work is 40 worker-hours, so 10 workers finish in 40 ÷ 10 = 4 hours.

Question 4

A car travels 150 miles in 3 hours. At this rate, how far does it travel in 5 hours?

Accepted Answer

250 miles

Answer

The rate is 50 mph, so in 5 hours it travels 50 × 5 = 250 miles.

Question 5

The ratio of cats to dogs at a shelter is 3:5. If there are 24 cats, how many dogs are there?

Accepted Answer

40

Answer

Each ratio unit equals 24 ÷ 3 = 8, so dogs = 5 × 8 = 40.

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