Entrance Examination on Mathematics-PDF

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Entrance Examination to SS1.

PAPER 1

Attempt all questions in this Part

Entrance Examination to SS1

Subject : Mathematics Duration: 1 ½ hrs

PAPER 1

Attempt all questions in this Part

2. Express 342six as a number in base ten (a) 34.2 (b) 44 (c) 57 (d) 134 (e) 3420
3. Express in base two, the square of 11two (a) 1001 (b) 1010 (c) 1011 (d) 1101 (e) 1100
4. The sum of three consecutive even numbers is 72 the highest of the three number is _ (a) 12 (b) 14 (c) 22 (d) 24 (e) 26
5. Find the product of the square of ½ and the sum of 13 and 19 (a) 8 (b) 16 (c) 32 (d) 64 (e) 128
6. How many edges has a cube? (a) 4 (b) 6 (c) 8 (d) 10 (e) 12
7. Round off N81 253.87 to the nearest N100 (a) N81300 (b) N81250 (c) N813 (d) N81200 (e) N81000
8. Write 1424 in Roman numerals (a) MXMXXIV (b) MCDXXIV (c) MCMXIV (d) MCDCXXIV (e) MCMXXIV
9. Two right angles measure _ (a) 3600 (b) 1800 (c) 1200 (d) 900 (e) 400
10. Round off 2.6548 correct to one decimal place (a) 2.6 (b) 2.65 (c) 2.66 (d) 2.7 (e) 3
11. A salegirl earns N3000 per month. Each month she spends N3x on food and N2x on rent and saves the rest. How much does she save in a month? (a) N(3000-3x) (b) N(3000-2x) (c) N(3000-5x) (d) N(1500-52)
12. Which of the following plane shapes has no line of symmetry? (a) kite (b) rhombus (c) trapezium (d) square (e) parallelogram
13. Round off 0.008251 to 2 significant figures (a) 0.82 (b) 0.83 (c) 0.008 (d) 0.0083 (e) 0.0082
14. The values of the 8 in 18214 (a) 8 units (b) 8 thousand (c) 8 tens (d) 8 ten thousands
15. Express 3.85km in metres (a) 355m (b) 3850m (c) 38500m (d) 38500m
16. Which of the following is not equivalent to ½? (a) 9/18 (b) 11/22 (c) 15/30 (d)8/12
17. Express 4/25 as a percentage (a) 4% (b) 61/4% (c) 8% (d)16%
18. 45 minutes, expressed as a fraction of one hour is __ (a) 1/60 (b) 1/4 (c) 3/4 (d) 4/5
19. When the sum of n and 2 is divided by 20, the result is 4. Find the value of n (a) 20 (b) 40 (c) 78 (d) 80 (e) 82
20. Given the set of numbers 8,9,5,6,2,4,8,0. Find mean (a) 4.2 (b) 5.0 (c) 5.12 (d) 5.20 (e) 5.25
21. Find the number which, when 8 is subtracted from it, gives -3 (a) 5 (b) 4 (c) 2 (d) 8
22. Find the number which, when 9 is subtracted from it, gives -8 (a) -1 (b) -2 (c) 1 (d) 3
23. What is the additive inverse for -19 (a) +19 (b) -19 (c) -20 (d) +20
24. Two right angles measure _ (a) 3600 (b) 1800 (c) 1200 (d) 900 (e) 400
25. The difference between the product of 78 and 36 and their sum is (a) 2894 (b) 2694 (c) 9428 (d) 2922
26. Interpret T varies as the cube of Y. (a) (b) (c) (d)
27. What is the sum of the angles in a trapezium? (a) (b) (c) (d)
28. When 27 is divided by the sum of 6 and a certain number, the result is . Find the number. (a) 15 (b) 20 (c) 10.75 (d) 30
29. Calculate the simple interest on ₦800 for 3 years at 25% per annum. (a) ₦800 (b) ₦400 (c) ₦200 (d) ₦600
30. Find the sum of all prime numbers between 1 and 10. (a) 2 (b) 4 (c) 15 (d) 17
31. Find the reciprocal of 0.002. (a) 0.001 (b) 0.002 (c) 200 (d) 500PAPER 11
32. Attempt all questions in this Part
33. Calculate 82.5÷ 0.025, expressing the answer in standard form (a) 3.3×10-3 (b) 3.3×10-2 (c) 3.3×10 (d) 3.3×102 (e)3.3×103
34. The highest common factor of 10a2b and 8ab is _ (a) 80a2b (b) 2ab (c) 5a (d) 11/4a (e) 4
35. Simplify 6x-3y-(3x-7y) (a) 3x-10y (b) 9x+4y (c) 3x-10y (d) 9x-4y (e) 3x+4y
36. Solve for M in the equation 16 – m=9 (a) 25 (b) 15 (c) 7 (d) -7 (e) -25
37. If , find the value of a (a) 96 (b) 48 (c) 36 (d) 16 (e) 24
38. Write 0.00054 in standard form (a) 54×103 (b) 5.4×102 (c) 0.54×103 (d) 5.4×10-4 (e) 5.4×10-3
39. Express 72 as the product of its factors, leaving your answer in index form (a) 22×33 (b) 23×32 (c) 24×32 (d) 22×32 (e) 23×33 .
40. Find the H.C.F of 18, 24 and 42 (a) 6 (b) 8 (c) 12 (d) 18
41. Find the product of 31/4 and 22/5 (a) 75/4 (b) 74/5 (c) 85/4 (d) 84/5
42. Find (a) 106 (b) 105 (c) 100 (d) 101
43. Find the value of (a) 21/3 (b) 31/3 (c) 23/2 (d) 23/15
44. Express 4000000000 in standard form (a) 4×10-6 (b) 4×109 (c) 4×1010 (d) 4×108
45. Solve = (a) 3/4 (b) 11/3(c) 21/3 (d) 12/3
46. The HCF of 16, 12 and 20 (a) 8 (b) 4 (c) 240 (d) 48
47. Expand the expression . (a) (b) (c) (d)
48. Factorise . (a) (b) (c) (d)
49. Factorise completely . (a) (b) (c) (d)
50. If find the value of when (a) -6 (b) 7 (c) 5 (d) -5
51. Solve the equation (a) 6 (b) (c) (d) -2
52. If find . (a) 20.5 (b) -20.75 (c) 22.25 (d) -22.5
53. If find when (a) 15 (b) 5 (c) -5 (d) 12
54. Find the value of when and (a) 9 (b) 12 (c) 10 (d) 1
55. If , evaluate . (a) 2 (b) 8 (c) 1 (d) -1
56. Simplify . (a) (b) (c) (d)
57. Find the value of -5(-7)-6 (a) -17 (b) 7 (c) -7 (d) -60
58. If D = (a)h = (b)h = (c)h = (d)h =
59. Simplify (a) (b) g + 4 ( c) (d)
60. Solve for c, if (a)6 (b)3 (c)4 (d)5
61. Simplify (a) 2 (b) -2 (c) 3 (d) -3
62. Simplify (a) x-y (b) x + y (c) (d)
63. Factorize (a) (b) (c) (d)

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