Stanford Achievement Test Stanford Achievement Mathematics Problem Solving

Question 1

A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. If one marble is picked at random, what is the probability it is blue?

Accepted Answer

3/12

Answer

There are 3 blue marbles out of 12 total (4+3+5=12), so the probability is 3/12.

Question 2

Sarah earns $8.50 per hour. If she works 6 hours on Saturday and 4 hours on Sunday, how much does she earn in total?

Accepted Answer

$85.00

Answer

She works 6+4=10 hours total; 10 × $8.50 = $85.00.

Question 3

A rectangle has a length of 12 cm and a width of 7 cm. What is its area?

Accepted Answer

84 cm²

Answer

Area of a rectangle = length × width = 12 × 7 = 84 cm².

Question 4

If 3n + 7 = 25, what is the value of n?

Accepted Answer

6

Answer

Subtracting 7 from both sides gives 3n = 18, so n = 18 ÷ 3 = 6.

Question 5

A train travels at 60 miles per hour. How many miles does it travel in 2 hours and 30 minutes?

Accepted Answer

150 miles

Answer

2 hours 30 minutes = 2.5 hours; 2.5 × 60 = 150 miles.

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