- 1. What is the prime factorization of 144 in index notation?
A) 2³ x 3²
B) 2⁴ x 3²
C) 2 x 72
D) 12²
- 2. What is the highest common factor (HCF) of 48 and 72?
A) 144
B) 24
C) 48
D) 12
- 3. What is the lowest common multiple (LCM) of 9 and 15?
A) 45
B) 90
C) 3
D) 135
- 4. The prime factorization of 504 is 2³ x 3² x 7.
The prime factorization of another number is 2⁴ x 3 x 5.
What is the HCF of the two numbers?
A) 72
B) 24
C) 2160
D) 12
- 5. A group of students can be arranged in rows of 6, 8 or 10 with no students left over. What is the smallest possible number of students in the group?
A) 120
B) 240
C) 400
D) 24
- 6. Round 15.678 rounded to two decimal places?
A) 15.67
B) 15.68
C) 15.7
D) 16
- 7. Round 34 752 to three significant figures.
A) 34 700
B) 34 800
C) 35 000
D) 34 750
- 8. By rounding each number to one significant figure, estimate the value of
49.7 x 8.3
-----------------------
2.9
A) 133
B) 130
C) 100
D) 133.33
- 9. The ratio of red counters to blue counters is 12:30. What is the ratio in it's simplest form?
A) 2:5
B) 1:2
C) 5:2
D) 6:15
- 10. Share £240 in the ratio 3:5. How much is the larger share?
A) £120
B) £90
C) £30
D) £150
- 11. A cyclist travels a distance of 60km in 2.5 hours. What is the average speed travelled in km/hr?
A) 25km/hr
B) 2.4km/hr
C) 24km/hr
D) 150km/hr
- 12. A car travels at an average speed of 80 km/hr. How far will it travel in 45 minutes?
A) 106.67 km
B) 60 km
C) 4 800 km
D) 80 km
- 13. How long does it take to travel a distance of 360 miles at an average speed of 60 miles per hour?
A) 12 hours
B) 6 hours
C) 3 hours
D) 21 600hours
- 14. A recipe requires a ratio milk to flour of 3:4. If you use 150ml of milk, how much flour should you use?
A) 150 ml
B) 100 ml
C) 200 ml
D) 112.5 ml
- 15. Round 48 251 to one significant figures.
A) 48 000
B) 48 300
C) 50 000
D) 40 000
- 16. A packet of crisps costs £1.89. A box contains 10 packets. What is the approximate cost of a box, rounding the packet price to the nearest pence.
A) £19.00
B) £18.90
C) £20.00
D) £18.00
- 17. The length of a road is 250 metres, correct to the nearest 10 metres. What is the upper bound of the road's length?
A) 260 metres
B) 250 metres
C) 255 metres
D) 245 metres
- 18. A rectangular field measures 56 m by 92 m. By rounding each measurement to one significant figure, estimate the perimeter of the field.
A) 280 m
B) 300 m
C) 270 m
D) 316 m
- 19. A price of £60 is increased by 20%. What is the new price?
A) £72.00
B) £48.00
C) £62.00
D) £12.00
- 20. A television is reduced in price by 25%. The original price was £320. What is the new price?
A) £240
B) £400
C) £256
D) £80
- 21. Mia invests £400 in an account with a simple interest rate of 5% per year. What is her total balance after 3 years
A) £460
B) £60
C) £463.05
D) £420
- 22. A coat is on sale for £84, which is a 30% discount. What was it's original price?
A) £109.20
B) £90
C) £114
D) £120
- 23. After a 5% increase, the price of a train ticket is £42. What was the original price?
A) £44.10
B) £39.90
C) £45
D) £40
- 24. A village population of 8 000 is growing by 2% each year. What will the population be after 3 years?
A) 8 400
B) 8 489
C) 8 040
D) 8 480
- 25. Oliver invests £1 000 in a savings account with a compound interest rate of 4% per year. What will his total balance be after 2 years?
A) £1 80
B) £1 080.40
C) £1 081.60
D) £1 040
E) £1 080
- 26. A new car bought for £15 000 depreciates in value by 12% each year. What will it's value be after 2 years? Hint: depreciation = subtraction.
A) £13 200
B) £18 720
C) £11 760
D) £11 616
- 27. Simon invests £800 at a simple interest rate of 5% per year. Emily invests £800 at a compound interest rate of 4% per year. What is the difference in their investments after 2 years
A) £0.00
B) £14.72
C) £1.28
D) £15.28
- 28. A bakery's sales increase by 10% in January and then decrease by 10% in February. If their original sales were
£20 000, what were the sales at the end of February?
A) £22 000
B) £20 200
C) £20 000
D) £19 800
- 29. Alice has bought 14 calculators for £35. How much would 22 calculators cost?
A) £40
B) £55
C) £45
D) £50
- 30. Sunita is making a dressing for a salad. She mixes ⅖ of a bottle of olive oil with ⅒ of a bottle of vinegar. The bottles are the same size. Express the amount of the olive oil to vinegar as a ratio in it's simplest form.
A) 2 : 1
B) 3: 1
C) 4 : 1
D) 1 : 4
- 31. Sunita is making a dressing for a salad. She mixes ⅖ of a bottle of olive oil with ⅒ of a bottle of vinegar. The bottles are the same size.
Sunita uses 800 ml of olive. How much vinegar did she use?
A) 800ml
B) 1200ml
C) 200ml
D) 500ml
- 32. Shaun, Ben and David share 50 DVDs in the ratio 5 : 3 : 2. How many DVDs does Shaun does Shaun get
A) 30
B) 10
C) 25
D) 15
A) 4 : 5
B) 5 : 4
C) 2 : 5
D) 5 : 2
A) 3 : 4
B) 9 : 1
C) 1 : 9
D) 4: 1
- 35. A fruit punch is made from orange juice and apple juice in the ratio 4 : 7. If 20 litres of orange juice are used, how much apple juice used?
A) 20 litres
B) 35 litres
C) 10 litres
D) 12 litres
- 36. Ahmed and Shannon share £500 in the ratio 12 : 13. How much does Ahmed get?
A) £340
B) £246
C) £350
D) £260
- 37. £6400 needs sharing between Dan Chris and Angela in the ratio 1 : 3 : 4. How much does each person receive?
A) Dan:£2400, Chris: £800, Angela: £3200
B) Dan:£800, Chris: £ 2400, Angela: £3200
C) Dan:£3200, Chris: £ 2400, Angela: £800
D) Dan:£800, Chris: £3200, Angela: £2400
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