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The HSPT Quantitative Reasoning Exam assesses a candidate’s ability to solve problems involving quantitative concepts. Topics covered include number series, data analysis, mathematical reasoning, and quantitative problem-solving. Candidates will demonstrate their ability to reason and analyze quantitative information effectively. This exam is ideal for students preparing for academic exams or those looking to refine their quantitative reasoning skills.
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Question 1: What is the place value of the digit 7 in the number 4,7 89? A. 7 ones B. 7 tens C. 7 hundreds D. 7 thousands Correct: C Explanation: In 4,789 the digit 7 is in the hundreds place. Question 2: What is 6,482 + 3,519? A. 9, B. 9, C. 9, D. 10, Correct: B Explanation: Adding place by place gives 6,482 + 3,519 = 9, ( 1 001 ) = 9, (1 001)? Actually 6,482 + 3,500 = 9,982, plus 19 makes 10,001? Wait recalc: 6,482 + 3,519 = 6,482 + 3,500 = 9,982 + 19 = 10,001. So correct answer is D.
I apologize for the calculation error. Let me correct the question: Question 2: What is 6,482 + 3,519? A. 9, B. 9, C. 9, D. 10, Correct: D Explanation: 6,482 + 3,500 = 9,982, then +19 = 10,001. Question 3: What is 8,305 − 2,769? A. 5, B. 6, C. 5, D. 6, Correct: C Explanation: Subtracting gives 8,305 − 2,700 = 5,605, then −69 = 5,536.
Correct: B Explanation: 7,892≈8,000 and 2,146≈2,000, sum≈10,000. Question 7: Round 4,567 to the nearest hundred. A. 4, B. 4, C. 4, D. 4, Correct: B Explanation: Tens digit is 6, so round up to 4,600. Question 8: Which of the following is a factor of 84? A. 5 B. 6
D. Both B and C Correct: D Explanation: 84÷6=14 and 84÷7=12, so both are factors. Question 9: What is the 6th multiple of 9? A. 45 B. 48 C. 54 D. 63 Correct: C Explanation: Multiples: 9,18,27,36,45,54. Question 10: Which number is prime? A. 57 B. 61 C. 63 D. 69
Question 13: Is 145 divisible by 5? A. Yes B. No C. Only if last digit is 0 D. Only if sum of digits is 5 Correct: A Explanation: Numbers ending in 0 or 5 are divisible by 5. Question 14: What is the greatest common factor of 18 and 24? A. 6 B. 12 C. 18 D. 24 Correct: A Explanation: Factors of 18:1,2,3,6,9,18; of 24:1,2,3,4,6,8,12,24; greatest common = 6. Question 15: What is the least common multiple of 4 and 6?
Correct: A Explanation: Multiples of 4:4,8,12…; of 6:6,12,18…; LCM=12. Question 16: Which is even? A. 3, B. 5, C. 8, D. 7, Correct: C Explanation: Even numbers end in an even digit; 8,214 ends in 4. Question 17: Order the following from least to greatest: 2,305; 2,350; 2,035. A. 2,035; 2,305; 2, B. 2,305; 2,035; 2,
Correct: A Explanation: Factors:1+2+3+4+6+12=28. Question 20: What number comes next: 5, 10, 20, 40, __? A. 60 B. 70 C. 80 D. 100 Correct: C Explanation: Each term doubles: 40×2=80. Question 21: What is |−15|? A. − B. 0
D. Cannot be determined Correct: C Explanation: Absolute value removes the sign. Question 22: What is −8 + (−3)? A. − B. 5 C. − D. 11 Correct: C Explanation: Negative plus negative sums to a larger negative. Question 23: What is −7 + 12? A. 5 B. − C. 19 D. −
Question 26: What is (−16) ÷ 4? A. − B. 4 C. − D. 12 Correct: A Explanation: Negative dividend divided by positive gives negative. Question 27: Which integer is greater: −3 or −7? A. − B. − C. They are equal D. Cannot compare Correct: A Explanation: On the number line, −3 is to the right of −7. Question 28: Order these integers from least to greatest: −5, 2, −1.
Correct: A Explanation: −5 < −1 < 2. Question 29: On a number line, which integer lies between −2 and 2? A. − B. 0 C. 3 D. − Correct: B Explanation: 0 is between −2 and 2. Question 30: Which is the greatest of these: −8, −3, −15? A. − B. −
Correct: B Explanation: 9−3=6 positive. Question 33: What is −4 − (−7)? A. 3 B. − C. 11 D. − Correct: A Explanation: Subtracting a negative adds: −4+7=3. Question 34: What is (−5) × 3? A. − B. 15 C. − D. 8 Correct: A Explanation: Negative times positive is negative.
Question 35: What is 12 ÷ (−3)? A. − B. 4 C. − D. 9 Correct: A Explanation: Positive ÷ negative = negative. Question 36: Which integer is between −10 and −6? A. − B. − C. − D. − Correct: B Explanation: −7 lies strictly between those. Question 37: What is |−8| + |3|?
C. They are equal D. Cannot determine Correct: C Explanation: Both absolute values equal 4. Question 40: What is (−9) + (−1)? A. − B. 10 C. − D. 8 Correct: A Explanation: Sum of negatives is more negative. Question 41: Simplify 3/9. A. 1/ B. 1/ C. 2/ D. 3/
Correct: B Explanation: Divide numerator and denominator by 3. Question 42: What is 2/5 + 1/5? A. 3/ B. 1/ C. 4/ D. 2/ Correct: A Explanation: Same denominator, add numerators:3/5. Question 43: What is 5/6 − 1/3? A. 1/ B. 1/ C. 2/ D. 4/ Correct: B Explanation: 1/3=2/6;5/6−2/6=3/6=1/2.