PES Firebrand Class Mathematics Mock 1
  • 1. 1. Correct 0.007985 to three significant figures.
A) 0.00799
B) 0.008
C) 0.0109
D) 0.0800
  • 2. 2. Find correct to two decimal places the mean of 11/2, 22/3, 33/4, 44/5 and 55/6.
A) 56.232
B) 562.32
C) 5623.2
D) 5.6232
  • 3. 3. 500 tickets for a concert tickets for adults and children were sold at $4.50 and $3.00  respectively if the total receipts for the concerts was $1987.50 how many tickets for adults were sold?
A) 235
B) 175
C) 400
D) 300
  • 4. 4. A man will be (x+10)years old in 8years time. If 2years ago he was 55 years., find the value of x
A) 63
B) 55
C) 57
D) 67
  • 5. 5. A rectangle has length of xcm and width (x - 1)cm. If the perimeter is 16cm, find the value of x.
A) 4 1/2cm
B) 3 1/2cm
C) 4cm
D) 5cm
  • 6. 6. How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m.
A) 4
B) 5
C) 6
D) 3
  • 7. 7. If the sum of the roots of the equation(x - p)(2x + 1) = 0 is 1, find the value of p.
A) 1/2
B) -1/2
C) -1
D) 1
  • 8. 8. The mean of the numbers 2,5,2x and 7 is less than or equal to 5. Find the range of the value of x.
A) x is greater than 4.5
B) x less than or equals to 4.5
C) x greater than or equals to 4.5
D) x less than 4.5
  • 9. 9. Simplify 0.000215 × 0.000028 and express your answer in standard form.
A) 6 × 10-9
B) 6 × 109
C) 6 × 109
D) 6 × 10-9
  • 10. 10. Given that P = {x: 1 ⩽ x ⩽ 6} and Q = {x:2 < x < 10}, where x is an integer. Find n (P⋂Q).
A) 2,7, 8 and 9
B) 7
C) 8
D) 3,4,5 and 6
  • 11. 11. The sum of 6 and one-third of x is one more than twice x. Find x.
A) x=2
B) x=5
C) x=7
D) x=3
  • 12. 12. Given that T = {x: -2 < x ⩽ 9} where x is an integer. What is n(T)?
A) 9
B) 11
C) 12
D) 10
  • 13. 13. Evaluate and correct to two decimal places: 75.0785 - 34.624 + 9.83
A) 30.60
B) 50.29
C) 30.63
D) 50.28
  • 14. 14. An amount of N550,000.00 was realized when a principal, x was saved at 2% simple interest for 5 years. Find the value of x
A) N480000.00
B) N70000.00
C) N4590000.00
D) N5500000.00
  • 15. 15. If x = 3 and y = -1, evaluate 2(x22 - y22)
A) 176
B) 274
C) 270
D) 272
  • 16. 16. A man is five times as old as his son. In four years' time, the product of their ages would be 340. If the son's age is y, express the product of their ages in terms of y.
A) 5y2−24y−380=0
B) 5y2−16y−380=0
C) 5y2+24y−324=0
D) 5y2−16y−330=0
  • 17. 17. Fati buys milk at ₦x per tin sells each at a profit of ₦y. If she sells 10 tins of milk, how much does she receives from the sales?
A) N(x+10)y
B) ₦10(x + y)
C) ₦(10x + y)
D) ₦(xy + 10)
  • 18. 18. Given that log3 27 = 2x + 1, find the value of x.
A) 0
B) 3
C) 2
D) 1
  • 19. 19. A trader made a loss of 15% when an article was sold. Find the ratio of the selling price  : cost price
A) 3:20
B) 20:23
C) 3:17
D) 17:20
  • 20. 20. Three boys shared 10,500.00 in the ratio 6:7:8. Find the largest share.
A) 3500
B) 4500
C) 4000
D) 5000
  • 21. 21. The length of a piece of stick is 1.75 m. A boy measured it as 1.80 m. Find the percentage error
A) 2 6/7
B) 4 6/7
C) 2 7/9
D) 4 4/7
  • 22. 22. A weaver bought a bundle of grass for $ 50.00 from which he made 8 mats. If each mat was sold for $ 15.00, find the percentage profit.
A) 120%
B) 40%
C) 240%
D) 140%
  • 23. 23. Evaluate, correct to four significant figures, (573.06 x 184.25).
A) 105632.00
B) 105622.00
C) 105600.00
D) 105500.00
  • 24. 24. What number should be subtracted from the sum of 2 1/6 and 2 7/8 to give 3 1/4?
A) 1/3
B) 13/24
C) 1 1/6
D) 1 19/24
  • 25. 25. Solve 3x - 2y = 10 and x + 3y = 7 simultaneously
A) x = 1 and y = 4
B)  x = 4 and y = 1
C) x = -4 and y = 1
D) x = -1 and y = -4
  • 26. 26. What is the place value of 5 in 2025 to base two
A) 10
B) 5
C) 40
D) 20
  • 27. 27. Find x if 21 base x is 7 base ten
A) 4
B) 3
C) 1
D) 2
  • 28. 28. Write 0.0462 in standard form
A) 4.62 × 102
B) 4.62 × 10-2
C) 0.462 × 10-2
D) 0.462 × 102
  • 29. 29. Round off 2024 to the nearest thousand
A) 20
B) 2024
C) 2020
D) 2000
  • 30. 30. If x/3 =3/5 find x
A) 1 1/5
B) 1 1/6
C) 1/5
D) 1/6
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