Stanford Achievement Test Stanford Achievement Mathematics Problem Solving 3

Question 1

A shirt originally costs $45. It is on sale for 20% off. What is the sale price?

Accepted Answer

$36.00

Answer

20% of $45 = $9 discount; $45 − $9 = $36 sale price.

Question 2

What is the least common multiple (LCM) of 4 and 6?

Accepted Answer

12

Answer

Multiples of 4: 4, 8, 12...; multiples of 6: 6, 12...; the smallest shared multiple is 12.

Question 3

A recipe calls for 2¼ cups of flour. If you want to make 3 batches, how much flour do you need in total?

Accepted Answer

6¾ cups

Answer

2¼ = 9/4; 9/4 × 3 = 27/4 = 6¾ cups.

Question 4

In a group of 5 test scores — 82, 91, 78, 95, 79 — what is the median score?

Accepted Answer

82

Answer

Arranged in order: 78, 79, 82, 91, 95 — the middle (3rd) value is 82.

Question 5

A rectangular garden is 15 feet long and 9 feet wide. How many feet of fencing are needed to enclose it?

Accepted Answer

48 ft

Answer

Perimeter = 2(length + width) = 2(15+9) = 2(24) = 48 feet.

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