SSAT Practice Test (Upper Level: Mathematics) 2 — Questions and Answers
Question 1: If 3x - 7 = 2x + 5, what is the value of x?
- 12 (Correct answer)
- 2
- -12
- 6
Correct answer: 12
Subtract 2x from both sides to get x - 7 = 5, then add 7 to find x = 12.
Question 2: What is 40% of 250?
- 100 (Correct answer)
- 90
- 110
- 125
Correct answer: 100
40% of 250 equals 0.40 × 250 = 100.
Question 3: The ratio of boys to girls in a class is 3:5. If there are 24 students total, how many girls are there?
- 15 (Correct answer)
- 9
- 12
- 18
Correct answer: 15
The ratio has 8 parts and 24 ÷ 8 = 3, so girls = 5 × 3 = 15.
Question 4: What is the area of a triangle with base 10 and height 6?
- 30 (Correct answer)
- 60
- 16
- 32
Correct answer: 30
Area = ½ × base × height = ½ × 10 × 6 = 30.
Question 5: If a number is increased by 25% to become 75, what was the original number?
- 60 (Correct answer)
- 50
- 56.25
- 65
Correct answer: 60
The original times 1.25 equals 75, so 75 ÷ 1.25 = 60.
Question 6: What is the value of 2³ + 3²?
- 17 (Correct answer)
- 13
- 15
- 12
Correct answer: 17
2³ = 8 and 3² = 9, so 8 + 9 = 17.
Question 7: A rectangle has a perimeter of 36 and a length of 11. What is its width?
- 7 (Correct answer)
- 14
- 25
- 5
Correct answer: 7
Perimeter = 2(length + width), so 18 = 11 + width, giving width = 7.
SSAT Practice Test (Upper Level: Mathematics) 2
If 3x - 7 = 2x + 5, what is the value of x?