Edexcel GCSE Mathematics Higher Tier Predicted
Papers 2026 | Complete Revision Notes | Exam
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100 Questions
1. A train travels at a constant speed of 80 km/h for 2.5 hours. What distance does it travel?
A) 180 km
B) 200 km
C) 220 km
D) 160 km
🎯CORRECT CHOICE: B) 200 km
💡EXPLANATION: Distance = Speed × Time = 80 × 2.5 = 200 km. This uses the formula speed =
distance/time, rearranged to find distance.
2. Solve the equation: 3x + 7 = 22
A) x = 3
B) x = 5
C) x = 7
D) x = 9
🎯CORRECT CHOICE: B) x = 5
💡EXPLANATION: Subtract 7 from both sides: 3x = 15. Then divide by 3: x = 5. Checking: 3(5) + 7 = 15 + 7
= 22.
3. What is the value of 5² + 3³?
A) 34
,B) 52
C) 58
D) 43
🎯CORRECT CHOICE: B) 52
💡EXPLANATION: 5² = 25 and 3³ = 27. Sum = 25 + 27 = 52. Ensure correct order of operations is applied.
4. A rectangle has a length of 12 cm and a width of 5 cm. What is its perimeter?
A) 34 cm
B) 17 cm
C) 60 cm
D) 24 cm
🎯CORRECT CHOICE: A) 34 cm
💡EXPLANATION: Perimeter of a rectangle = 2(length + width) = 2(12 + 5) = 2 × 17 = 34 cm.
5. Simplify: 8a + 3b - 2a - 5b
A) 6a - 2b
B) 10a + 8b
C) 6a + 2b
D) 10a - 8b
🎯CORRECT CHOICE: A) 6a - 2b
💡EXPLANATION: Combine like terms: 8a - 2a = 6a and 3b - 5b = -2b. Result is 6a - 2b.
6. What is 45% of 240?
A) 108
B) 100
,C) 120
D) 96
🎯CORRECT CHOICE: A) 108
💡EXPLANATION: 45% = 45/100 = 0.45. Multiply: 0.45 × 240 = 108.
7. The ratio of boys to girls in a class is 3:2. If there are 30 students, how many girls are there?
A) 12
B) 15
C) 18
D) 20
🎯CORRECT CHOICE: A) 12
💡EXPLANATION: Total parts = 3 + 2 = 5. One part = 30/5 = 6. Girls = 2 parts = 2 × 6 = 12.
8. Calculate the area of a triangle with base 10 cm and height 8 cm.
A) 80 cm²
B) 40 cm²
C) 20 cm²
D) 18 cm²
🎯CORRECT CHOICE: B) 40 cm²
💡EXPLANATION: Area of triangle = ½ × base × height = ½ × 10 × 8 = 40 cm².
9. Solve the inequality: 2x - 5 > 7
A) x > 6
B) x > 1
C) x < 6
, D) x > 12
🎯CORRECT CHOICE: A) x > 6
💡EXPLANATION: Add 5 to both sides: 2x > 12. Divide by 2: x > 6.
10. Write 0.075 as a fraction in its simplest form.
A) 3/40
B) 75/1000
C) 3/4
D) 7/100
🎯CORRECT CHOICE: A) 3/40
💡EXPLANATION: 0.075 = 75/1000. Simplify by dividing by 25: 75/1000 = 3/40.
11. What is the LCM of 12 and 18?
A) 36
B) 24
C) 6
D) 216
🎯CORRECT CHOICE: A) 36
💡EXPLANATION: Multiples of 12: 12, 24, 36, 48... Multiples of 18: 18, 36, 54... The lowest common
multiple is 36.
12. Expand and simplify: 3(2x - 4) - 2(3x - 1)
A) -10
B) 12x - 14
C) -2
D) 12x - 2
Papers 2026 | Complete Revision Notes | Exam
Success Bundle
100 Questions
1. A train travels at a constant speed of 80 km/h for 2.5 hours. What distance does it travel?
A) 180 km
B) 200 km
C) 220 km
D) 160 km
🎯CORRECT CHOICE: B) 200 km
💡EXPLANATION: Distance = Speed × Time = 80 × 2.5 = 200 km. This uses the formula speed =
distance/time, rearranged to find distance.
2. Solve the equation: 3x + 7 = 22
A) x = 3
B) x = 5
C) x = 7
D) x = 9
🎯CORRECT CHOICE: B) x = 5
💡EXPLANATION: Subtract 7 from both sides: 3x = 15. Then divide by 3: x = 5. Checking: 3(5) + 7 = 15 + 7
= 22.
3. What is the value of 5² + 3³?
A) 34
,B) 52
C) 58
D) 43
🎯CORRECT CHOICE: B) 52
💡EXPLANATION: 5² = 25 and 3³ = 27. Sum = 25 + 27 = 52. Ensure correct order of operations is applied.
4. A rectangle has a length of 12 cm and a width of 5 cm. What is its perimeter?
A) 34 cm
B) 17 cm
C) 60 cm
D) 24 cm
🎯CORRECT CHOICE: A) 34 cm
💡EXPLANATION: Perimeter of a rectangle = 2(length + width) = 2(12 + 5) = 2 × 17 = 34 cm.
5. Simplify: 8a + 3b - 2a - 5b
A) 6a - 2b
B) 10a + 8b
C) 6a + 2b
D) 10a - 8b
🎯CORRECT CHOICE: A) 6a - 2b
💡EXPLANATION: Combine like terms: 8a - 2a = 6a and 3b - 5b = -2b. Result is 6a - 2b.
6. What is 45% of 240?
A) 108
B) 100
,C) 120
D) 96
🎯CORRECT CHOICE: A) 108
💡EXPLANATION: 45% = 45/100 = 0.45. Multiply: 0.45 × 240 = 108.
7. The ratio of boys to girls in a class is 3:2. If there are 30 students, how many girls are there?
A) 12
B) 15
C) 18
D) 20
🎯CORRECT CHOICE: A) 12
💡EXPLANATION: Total parts = 3 + 2 = 5. One part = 30/5 = 6. Girls = 2 parts = 2 × 6 = 12.
8. Calculate the area of a triangle with base 10 cm and height 8 cm.
A) 80 cm²
B) 40 cm²
C) 20 cm²
D) 18 cm²
🎯CORRECT CHOICE: B) 40 cm²
💡EXPLANATION: Area of triangle = ½ × base × height = ½ × 10 × 8 = 40 cm².
9. Solve the inequality: 2x - 5 > 7
A) x > 6
B) x > 1
C) x < 6
, D) x > 12
🎯CORRECT CHOICE: A) x > 6
💡EXPLANATION: Add 5 to both sides: 2x > 12. Divide by 2: x > 6.
10. Write 0.075 as a fraction in its simplest form.
A) 3/40
B) 75/1000
C) 3/4
D) 7/100
🎯CORRECT CHOICE: A) 3/40
💡EXPLANATION: 0.075 = 75/1000. Simplify by dividing by 25: 75/1000 = 3/40.
11. What is the LCM of 12 and 18?
A) 36
B) 24
C) 6
D) 216
🎯CORRECT CHOICE: A) 36
💡EXPLANATION: Multiples of 12: 12, 24, 36, 48... Multiples of 18: 18, 36, 54... The lowest common
multiple is 36.
12. Expand and simplify: 3(2x - 4) - 2(3x - 1)
A) -10
B) 12x - 14
C) -2
D) 12x - 2
