### Edexcel GCSE Mathematics Higher Tier Predicted
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**100 Questions with Verified Rationales**
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**1. Work out 3/5 + 2/7. Give your answer as a fraction in its simplest form.**
A) 5/12
B) 31/35
C) 21/35
D) 5/35
🎯CORRECT CHOICE: B
💡EXPLANATION: To add fractions, find a common denominator (35). 3/5 = 21/35 and 2/7 = 10/35.
Adding gives 31/35, which is already in its simplest form.
**2. Calculate 15% of 240.**
A) 36
B) 30
C) 40
D) 24
🎯CORRECT CHOICE: A
💡EXPLANATION: 15% = 15/100 = 0.15. 0.15 × 240 = 36.
**3. Simplify √48.**
A) 4√3
,B) 2√12
C) 6√2
D) 8√3
🎯CORRECT CHOICE: A
💡EXPLANATION: √48 = √(16 × 3) = √16 × √3 = 4√3.
**4. Solve 2x + 5 = 13.**
A) x = 4
B) x = 5
C) x = 3
D) x = 9
🎯CORRECT CHOICE: A
💡EXPLANATION: Subtract 5 from both sides: 2x = 8. Divide both sides by 2: x = 4.
**5. The angles in a triangle are x°, 2x°, and 3x°. What is the value of x?**
A) 20°
B) 30°
C) 60°
D) 90°
🎯CORRECT CHOICE: B
💡EXPLANATION: The sum of angles in a triangle is 180°. Therefore x + 2x + 3x = 6x = 180°, so x = 30°.
**6. A circle has a radius of 5 cm. Calculate its area. (Use π = 3.14)**
A) 31.4 cm²
B) 78.5 cm²
C) 157 cm²
D) 314 cm²
🎯CORRECT CHOICE: B
, 💡EXPLANATION: Area = πr² = 3.14 × 5² = 3.14 × 25 = 78.5 cm².
**7. Write 0.00047 in standard form.**
A) 4.7 × 10⁻⁴
B) 4.7 × 10⁻³
C) 4.7 × 10⁴
D) 47 × 10⁻⁵
🎯CORRECT CHOICE: A
💡EXPLANATION: 0.00047 = 4.7 × 10⁻⁴ because the decimal point is moved 4 places to the right.
**8. Factorise fully 6x² - 12x.**
A) 6(x² - 2x)
B) 6x(x - 2)
C) x(6x - 12)
D) 6x²(1 - 2/x)
🎯CORRECT CHOICE: B
💡EXPLANATION: The highest common factor is 6x. 6x² - 12x = 6x(x - 2).
**9. The nth term of a sequence is 3n + 4. What is the 10th term?**
A) 14
B) 24
C) 34
D) 44
🎯CORRECT CHOICE: C
💡EXPLANATION: Substitute n = 10: 3 × 10 + 4 = 30 + 4 = 34.
**10. What is the value of 2³ × 2⁴?**
A) 2⁷
Papers 2026 | Complete Revision Notes | Exam Success
Bundle
**100 Questions with Verified Rationales**
---
**1. Work out 3/5 + 2/7. Give your answer as a fraction in its simplest form.**
A) 5/12
B) 31/35
C) 21/35
D) 5/35
🎯CORRECT CHOICE: B
💡EXPLANATION: To add fractions, find a common denominator (35). 3/5 = 21/35 and 2/7 = 10/35.
Adding gives 31/35, which is already in its simplest form.
**2. Calculate 15% of 240.**
A) 36
B) 30
C) 40
D) 24
🎯CORRECT CHOICE: A
💡EXPLANATION: 15% = 15/100 = 0.15. 0.15 × 240 = 36.
**3. Simplify √48.**
A) 4√3
,B) 2√12
C) 6√2
D) 8√3
🎯CORRECT CHOICE: A
💡EXPLANATION: √48 = √(16 × 3) = √16 × √3 = 4√3.
**4. Solve 2x + 5 = 13.**
A) x = 4
B) x = 5
C) x = 3
D) x = 9
🎯CORRECT CHOICE: A
💡EXPLANATION: Subtract 5 from both sides: 2x = 8. Divide both sides by 2: x = 4.
**5. The angles in a triangle are x°, 2x°, and 3x°. What is the value of x?**
A) 20°
B) 30°
C) 60°
D) 90°
🎯CORRECT CHOICE: B
💡EXPLANATION: The sum of angles in a triangle is 180°. Therefore x + 2x + 3x = 6x = 180°, so x = 30°.
**6. A circle has a radius of 5 cm. Calculate its area. (Use π = 3.14)**
A) 31.4 cm²
B) 78.5 cm²
C) 157 cm²
D) 314 cm²
🎯CORRECT CHOICE: B
, 💡EXPLANATION: Area = πr² = 3.14 × 5² = 3.14 × 25 = 78.5 cm².
**7. Write 0.00047 in standard form.**
A) 4.7 × 10⁻⁴
B) 4.7 × 10⁻³
C) 4.7 × 10⁴
D) 47 × 10⁻⁵
🎯CORRECT CHOICE: A
💡EXPLANATION: 0.00047 = 4.7 × 10⁻⁴ because the decimal point is moved 4 places to the right.
**8. Factorise fully 6x² - 12x.**
A) 6(x² - 2x)
B) 6x(x - 2)
C) x(6x - 12)
D) 6x²(1 - 2/x)
🎯CORRECT CHOICE: B
💡EXPLANATION: The highest common factor is 6x. 6x² - 12x = 6x(x - 2).
**9. The nth term of a sequence is 3n + 4. What is the 10th term?**
A) 14
B) 24
C) 34
D) 44
🎯CORRECT CHOICE: C
💡EXPLANATION: Substitute n = 10: 3 × 10 + 4 = 30 + 4 = 34.
**10. What is the value of 2³ × 2⁴?**
A) 2⁷
