Stanford Achievement Test Stanford Achievement Mathematics Problem Solving 2

Question 1

The pattern is: 2, 6, 18, 54, ___. What is the next number?

Accepted Answer

162

Answer

Each term is multiplied by 3; 54 × 3 = 162.

Question 2

A pizza is cut into 8 equal slices. Tom eats 3 slices and Amy eats 2 slices. What fraction of the pizza is left?

Accepted Answer

3/8

Answer

5 slices were eaten (3+2), leaving 8−5=3 slices, which is 3/8 of the pizza.

Question 3

If a car uses 2.5 gallons of gas every 50 miles, how many gallons does it need to travel 200 miles?

Accepted Answer

10 gallons

Answer

200 miles is 4 times 50 miles, so it needs 4 × 2.5 = 10 gallons.

Question 4

A square has a perimeter of 36 inches. What is the area of the square?

Accepted Answer

81 in²

Answer

Perimeter = 4 × side, so side = 36 ÷ 4 = 9 inches; area = 9² = 81 in².

Question 5

A class of 30 students took a math test. If 40% scored an A, how many students scored an A?

Accepted Answer

12

Answer

40% of 30 = 0.40 × 30 = 12 students scored an A.

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