PSSA Mathematics 5 — Questions and Answers
Question 1: A data set has values: 4, 7, 9, 9, 11, 13. What is the median?
- 9 (Correct answer)
- 8
- 10
- 7
Correct answer: 9
With 6 values, the median is the average of the 3rd and 4th: (9 + 9) ÷ 2 = 9.
Question 2: Which of the following is NOT a rational number?
- √7 (Correct answer)
- 1/3
- 0.25
- −6
Correct answer: √7
√7 cannot be expressed as a fraction of two integers, so it is irrational.
Question 3: If a recipe calls for 2½ cups of flour to make 24 cookies, how many cups are needed for 48 cookies?
- 5 (Correct answer)
- 4
- 6
- 3
Correct answer: 5
48 cookies is double 24, so double the flour: 2½ × 2 = 5 cups.
Question 4: What is the greatest common factor (GCF) of 36 and 48?
- 12 (Correct answer)
- 6
- 24
- 9
Correct answer: 12
Factors of 36: 1,2,3,4,6,9,12,18,36; factors of 48 include 12; GCF = 12.
Question 5: A line graph shows sales increasing from 200 units in January to 350 units in June. What is the percent increase?
- 75% (Correct answer)
- 42.9%
- 57.1%
- 150%
Correct answer: 75%
Percent increase = (350 − 200) ÷ 200 × 100 = 150 ÷ 200 × 100 = 75%.
Question 6: Two angles are supplementary. One angle measures 65°. What is the measure of the other angle?
- 115° (Correct answer)
- 25°
- 125°
- 90°
Correct answer: 115°
Supplementary angles sum to 180°; 180 − 65 = 115°.
Question 7: Which inequality is represented by the statement 'a number x is at most 8'?
- x ≤ 8 (Correct answer)
- x < 8
- x ≥ 8
- x > 8
Correct answer: x ≤ 8
'At most 8' means x can equal 8 or be less, so x ≤ 8.
PSSA Mathematics 5
A data set has values: 4, 7, 9, 9, 11, 13.
What is the median?