First Term Examination
Class : SSS 1
SUBJECT : MATHEMATICS
TIME : 2 HOURS
SECTION A : OBJECTIVE QUESTIONS
INSTRUCTION: Read the question carefully and pick from the options lettered (a – d).
1. Convert 1246 base 7 to base 10 (a) 475 (b) 504 (c) 574 (d) 580
2. Add the following set of numbers (-16x – 6) and (3x – 18) (a) – 42 (b) – 32 (c) – 37 (d) 42
3. In a towns meeting, 150 people were in attendance. If 96 were men, what is the percentage of women that attended the meeting? (a) 4% (b) 36% (c) 54% (d) 63%
4. Solve the equation : P² – 12p + 32 = 0 (a) P = 4, 8 (b) P = – 4, – 8 (c) P = 4, -8 (d) – 4, 8
5. The length of a rectangle is 6.78 cm and it’s width is 4.2 cm. Find the area correct to 2 d.p. (a) 28.48 (b) 28.50 (c) 28.57 (d) 28.76
6. Solve the equation : 2(8x + 7) / 3 = 5x. (a) 29 (b) 19 (c) 14 (d) 11
7. A man divides #21, 000 between his two sons in the ratio 5 : 3, how much did the man with ratio 5 get? (a) #7, 875 (b) #8, 595 (c) #13, 125 (d) #15, 345
8. Find the average of the following numbers : 73, 85, 54, 92, and 66. (a) 82 (b) 76 (c) 74 (d) 68
9. What is the sum of the prime numbers between 1 and 25? (a) 26 (b) 45 (c) 100 (d) 125
10. Express 0.00768 in standard form, correct to 2 significant figures. (a) 7.68 × 10³ (b) 7.68 × 10-³ (c) 7.7 × 10-³ (d) 7.7 × 10³
11. Simplify (2x + 6) (3x – 2)². (a) 9x²- 10x + 10 (b) 18x³ – 30x² – 64x + 24 (c) 18x³ + 30x² – 64x + 24 (d) 18x³ – 78x² – 80x + 24
12. Simplify 5xy – 8xy + 12xy – 6xy. (a) 3xy (b) 6xy (c) 9xy (d) 11xy
13. Find the highest common factors of 126, 105 and 246. (a) 3 (b) 5 (c) 7 (d) 9
14. Solve the equation 3^ (4x-1) = 81 (a) x = 3/4 (b) x = 4/3 (c) x = 4/5 (d) x = 5/4
15. Write 1/27 in index form (a) 27¹ (b) 1/ 3-³ (c) 3-³ (d) 1/ 27-¹
16. Simplify : 12p-5q-6 ÷ 3p-8q¹0 (a) 4p²q¹6 (b) 4p³q-¹6 (c) qp²q¹6 (d) qp²p-¹6
17. What is the reciprocal of 2 1/3? (a) 7/3 (b) 3/7 (c) 3 1/2 (d) 3/1
18. Solve the equation 2x + 14 = 3x – 21. (a) x = 7 (b) x = – 7 (c) x = 35 (d) x = – 3519. Find the difference nce between 17/25 and 19/30. (a) 7/150 (b) 17/15 (c) 5/35 (d) 7/750
20. Multiply 33 by 11 in mod 5. (a) 3 (b) 2 (c) 4 (d) No solution
21. Which of the following is not likely to be a number in octal? (a) 108 (b) 117 (c) 512 (d) 635
22. An office assistance, buys 7 reams of paper for #5, 775. How much will he need to buy 9 reams? (a) #7000 (b) #7425 (c) #7557 (d) #7755
23. A man spends 1/2 of his monthly income on clothes, 1/8 on feeding and he saves the rest. How much does he save if he spends #2, 400 on feeding? (a) #5,800 (b) #6,500 (c) #7,200 (d) #9,200
24. Evaluate : 25 © 12 ® 7 in mode 4 (a) 0 (b) 1 (c) 2 (d) 3
25. A market woman bought 55 base 8 eggs at D13 base 8 each and 34 base 8 eggs at D15 base 8 each. How much did she spend altogether? (a) D1553 base 8 (b) D1533 base 8 (c) D1543 base 8 (d) D1523 base 8
SECTION B : THEORY
INSTRUCTION : Answer four questions in all. (Question One (1) and any other three questions.)
1. Use the logarithm table to evaluate (leaving your answer to three significant figures :((8.352)³ x 5√893.4) / 4√(7.245 x 25.34)²
2a. Given that 244 base n = 1022 base 4, find n
2b. Convert 1A3D2 base 16 to base 10
3a. In one year, new day is on Wednesday. On what day of the week would the new year day will be in the following year if it is :(i.) a common year. (ii) a leap year?
3b. Find the value of t for which 64/27 = (3/4) ^t-1
4a. Convert (3 7/8) ten to bicimal.
4b. Evaluate (8.17 x 10⁴) + (5.43 x 10⁴) giving your answer correct to 2 s.f. in standard form.
5a. Construct subtraction table for Mod 9.
5b. Find a positive form of least absolute value that is equivalent to :
i. – 56 mod 12 ii. – 28 mod 13
5c. Find the following products :
i. 5 x 7 (mod 5) ii. 23 x 46 (mod 11)
6a. Find the square root of the following :
i. 1000000 two ii. 1010001 two
6b. What is the missing number in the addiction in base two :1 0 1 1 0 + 1 0 0 1 + * * * * = 1 1 0 0 1
Leave a Reply