Non-Calculator Paper Exam Style Quiz
Prepare for the GCSE Maths non-calculator exam paper, with this quiz.
This quiz consists of 15 questions, including multiple-choice and short-answer.
For multiple-choice questions, choose the correct answer. Scroll down to begin the quiz.
Questions
Which number is a square number and also a cube number?
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Correct
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Estimate the value of √80 + 5.1
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Correct
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A number is multiplied by 3 and then 5 is subtracted. The result is 16. What is the original number?
Correct
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Expand and simplify: (x+2) (x−5)
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Solve: 3x < 12
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Factorise completely: 6x² − 9x
3x (2x − 3)
A number is increased by 20%, then decreased by 20%. Is the final value the same?
Answer: No.
Working:
Example: Start with 100
Increase: 100 + 20% = 120
Decrease: 120 − 20% = 120 × 0.8 = 96
Final value is less than original
Solve: 2(x+3) = 14
Answer: x=4
Working:
Expand: 2x + 6 = 14 → 2x = 8 → x = 4
Expand and simplify: (x + 4)²
Answer: x² + 8x + 16
Working:
(x+4)(x+4) = x² +4x + 4x + 16 = x² + 8x +16
Solve: x² = 49
Answer: x = ± 7
A triangle has angles in the ratio 2:3:7. Find the size of each angle.
Answer: 30°, 45°, 105°
Working:
2 + 3 + 7 = 12 parts
180° ÷ 12 = 15° per part
Angles: 2×15 = 30°, 3×15 = 45°, 7×15 = 105°
Factorise completely: x² − 16
Answer: (x + 4) (x − 4)
Reasoning:
Difference of two squares
Solve the inequality: 2x − 7 > 3
Answer: x > 5
Working:
Add 7 to both sides:
2x > 10
Divide by 2:
x > 5
Find the nth term of the sequence: 3, 7, 11, 15, 19...
Answer: 4n−1
Working:
Common difference = 4
First term = 3 → 4n −1 = 3 when n=1
A shape is enlarged by a scale factor of 3. The area of the original shape is 6 cm². What is the area of the enlarged shape?
Answer: 54 cm²
Working:
Area scale factor = 3² = 9
New area = 6 × 9 = 54
