ICSE Class 10 Quadratic Equations (in one variable) — Mock Test (2027)
Free online mock test for Quadratic Equations (in one variable) (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.
What to expect: This mock test covers key concepts from the Quadratic Equations (in one variable) chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.
Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.
Sample questions
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1.Find two consecutive positive odd numbers such that the sum of their squares is 74. What are the numbers?
- A.3 and 5
- B.5 and 7
- C.7 and 9
- D.1 and 3
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2.The sum of the numerator and denominator of a certain fraction is 10. If 1 is subtracted from both the numerator and denominator, the fraction is decreased by $\frac{2}{21}$. Which of the following is the original fraction?
- A.$\frac{3}{7}$
- B.$\frac{5}{5}$
- C.$\frac{7}{3}$
- D.$\frac{4}{6}$
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3.Vibha and Sanya distribute Rs. 100 each in charity. Vibha distributes money to 5 more people than Sanya, and Sanya gives each recipient Re. 1 more than Vibha. How many people in total are recipients of the charity?
- A.20
- B.25
- C.45
- D.50
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4.Find two numbers whose sum is 40 and product is 375. Which of the following pairs satisfies both conditions?
- A.10 and 30
- B.15 and 25
- C.5 and 35
- D.20 and 20
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5.Solve the equation $x^2 - 5x - 10 = 0$ and select the positive root correct to two decimal places.
- A.$x = 5.53$
- B.$x = 6.53$
- C.$x = 7.53$
- D.$x = 8.06$
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