HSPT Quantitative Skills — Questions and Answers
Question 1: What is the next number in the sequence: 2, 6, 18, 54, ___?
- 108
- 162 (Correct answer)
- 72
- 216
Correct answer: 162
Each number is multiplied by 3 to get the next number: 2×3=6, 6×3=18, 18×3=54, 54×3=162.
Question 2: If 3x + 7 = 22, what is the value of x?
- 3
- 5 (Correct answer)
- 7
- 15
Correct answer: 5
Subtract 7 from both sides: 3x = 15. Divide both sides by 3: x = 5.
Question 3: What is 35% of 200?
- 35
- 70 (Correct answer)
- 105
- 7000
Correct answer: 70
35% of 200 = 0.35 × 200 = 70. You can also think of it as 35 × 2 = 70.
Question 4: Which fraction is equivalent to 0.625?
- 1/2
- 3/4
- 5/8 (Correct answer)
- 7/8
Correct answer: 5/8
0.625 = 625/1000 = 5/8 when simplified. You can verify: 5 ÷ 8 = 0.625.
Question 5: If a rectangle has a length of 12 and a width of 8, what is its perimeter?
- 20
- 40 (Correct answer)
- 96
- 32
Correct answer: 40
Perimeter of a rectangle = 2(length + width) = 2(12 + 8) = 2(20) = 40.
Question 6: What is the value of 2³ × 3²?
- 36
- 72 (Correct answer)
- 18
- 54
Correct answer: 72
2³ = 8 and 3² = 9, so 2³ × 3² = 8 × 9 = 72.
HSPT Quantitative Skills
What is the next number in the sequence: 2, 6, 18, 54, ___?