SS 1 First Term Examination Mathematics

LAGOS STATE GOVERNMENT
FIRST TERM EXAMINATION
CLASS: SSS 1
SUBJECT: MATHEMATICS
TIME: 2 HOURS

SECTION A: OBJECTIVE QUESTIONS

INSTRUCTION: Read the questions carefully and choose the correct answer 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 expressions: (-16x – 6) and (3x – 18).
   (a) -42 (b) -32 (c) -37 (d) 42
3. In a town’s meeting, 150 people attended. If 96 were men, what is the percentage of women present?
   (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) P = -4, 8
5. The length of a rectangle is 6.78 cm and its width is 4.2 cm. Find the area correct to 2 decimal places.
   (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. Simplify: (12p – 5q – 6) ÷ (3p – 8q).
   (a) 4p²q¹6 (b) 4p³q-¹6 (c) qp²q¹6 (d) qp²p-¹6
8. Convert 1/27 to index form.
   (a) 27¹ (b) 1/3-³ (c) 3-³ (d) 1/27-¹
9. Find the reciprocal of 2 1/3.
   (a) 7/3 (b) 3/7 (c) 3 1/2 (d) 3/1
10. Find the highest common factor (HCF) of 126, 105, and 246.
    (a) 3 (b) 5 (c) 7 (d) 9
11. Solve the equation: 3^(4x – 1) = 81.
    (a) x = 3/4 (b) x = 4/3 (c) x = 4/5 (d) x = 5/4
12. What is the difference between 17/25 and 19/30?
    (a) 7/150 (b) 17/15 (c) 5/35 (d) 7/750
13. An office assistant buys 7 reams of paper for ₦5775. How much will he need to buy 9 reams?
    (a) ₦7000 (b) ₦7425 (c) ₦7557 (d) ₦7755
14. A man spends 1/2 of his monthly income on clothes, 1/8 on feeding, and saves the rest. How much does he save if he spends ₦2400 on feeding?
    (a) ₦5800 (b) ₦6500 (c) ₦7200 (d) ₦9200
15. Evaluate: (25 © 12 ® 7) in mode 4.
    (a) 0 (b) 1 (c) 2 (d) 3
16. 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
17. Find the square root of the following in base 2:
    (a) 1000000 (b) 1010001
18. Simplify 64/27 = (3/4)^(t – 1).
19. Convert (3 7/8) base 10 to a binary decimal.
20. Add the binary numbers 10110 + 1001.
21. Multiply 12 × 15 and express the result in scientific notation.
    (a) 1.8 × 10³ (b) 1.8 × 10⁴ (c) 180 × 10² (d) 1800 × 10⁰
22. Find the product of (2x + 5) and (x – 3).
    (a) 2x² – 6x + 5x – 15 (b) 2x² – x – 15 (c) 2x² + 15x – 15 (d) 2x² – 15
23. Factorize: x² – 5x + 6.
    (a) (x – 1)(x – 6) (b) (x + 1)(x – 6) (c) (x – 2)(x – 3) (d) (x – 2)(x + 3)
24. Solve for x in the equation: 2x – 7 = 11.
    (a) x = 9 (b) x = 6 (c) x = 7 (d) x = 18
25. A car travels 100 km in 2 hours. What is the average speed of the car?
    (a) 40 km/h (b) 50 km/h (c) 60 km/h (d) 70 km/h
26. Solve: 4(3x + 5) = 2(x + 7).
    (a) x = 3 (b) x = 5 (c) x = 2 (d) x = 4
27. What is the value of x in the equation: 2x + 3 = 4x – 5?
    (a) x = 4 (b) x = 3 (c) x = 2 (d) x = 1
28. Convert 3450 from decimal to binary.
    (a) 110101101 (b) 11010110 (c) 110010101 (d) 111001010
29. Simplify: 4 + 2 × 3.
    (a) 10 (b) 14 (c) 12 (d) 6
30. A box contains 8 red, 5 blue, and 3 green balls. What is the probability of picking a red ball?
    (a) 3/16 (b) 5/16 (c) 8/16 (d) 1/16
31. Convert 0.75 to a fraction in its simplest form.
    (a) 3/4 (b) 7/4 (c) 1/4 (d) 1/2
32. Solve for y: 2y + 3 = 13.
    (a) y = 5 (b) y = 3 (c) y = 6 (d) y = 10
33. What is the least common multiple (LCM) of 12 and 18?
    (a) 36 (b) 24 (c) 72 (d) 60
34. Express 3.2 × 10⁶ in standard form.
    (a) 3.2 × 10⁶ (b) 3.2 × 10⁷ (c) 0.32 × 10⁷ (d) 32 × 10⁵
35. What is the sum of the interior angles of a hexagon?
    (a) 720° (b) 540° (c) 360° (d) 180°
36. Solve for x: 5x – 3 = 7x + 1.
    (a) x = -2 (b) x = 4 (c) x = 1 (d) x = 2
37. Convert 56 from base 10 to base 8.
    (a) 70 (b) 72 (c) 74 (d) 75
38. What is the perimeter of a rectangle with length 12 cm and width 7 cm?
    (a) 34 cm (b) 38 cm (c) 40 cm (d) 46 cm
39. Solve for x: 3x + 5 = 2x + 9.
    (a) x = 4 (b) x = 3 (c) x = 5 (d) x = 6
40. What is the area of a triangle with base 10 cm and height 12 cm?
    (a) 60 cm² (b) 50 cm² (c) 120 cm² (d) 40 cm²
41. If the radius of a circle is 7 cm, what is the area of the circle? (Use π = 22/7)
    (a) 154 cm² (b) 49 cm² (c) 77 cm² (d) 66 cm²
42. Simplify: 9a²b ÷ 3ab².
    (a) 3a/b (b) 3b/a (c) 3ab (d) 3ab²
43. Find the sum of the first 15 terms of an arithmetic series where the first term is 5 and the common difference is 3.
    (a) 225 (b) 240 (c) 255 (d) 275
44. Solve for y: 2y + 4 = 16.
    (a) y = 4 (b) y = 6 (c) y = 8 (d) y = 10
45. Find the value of (3x + 4y) if x = 2 and y = 5.
    (a) 17 (b) 18 (c) 19 (d) 20
46. What is the value of 2³ + 3²?
    (a) 16 (b) 17 (c) 18 (d) 19
47. Solve the equation: x² – 16 = 0.
    (a) x = 4 (b) x = 5 (c) x = 8 (d) x = 6
48. Convert the decimal number 56.75 to a fraction.
    (a) 56 3/4 (b) 56 1/4 (c) 57 3/4 (d) 56 2/3
49. Solve for x: 4(x – 2) = 3(x + 5).
    (a) x = 7 (b) x = 5 (c) x = 8 (d) x = 6
50. Find the perimeter of a rectangle with length 12 cm and width 8 cm.
    (a) 32 cm (b) 36 cm (c) 40 cm (d) 48 cm

SECTION B: THEORY QUESTIONS

INSTRUCTION: Answer four questions in all. (Question One (1) and any other three questions.)

1. Use the logarithm table to evaluate the following 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 Year’s Day is on Wednesday. On what day of the week will New Year’s Day fall in the following year if it is:
i. A common year?
ii. A leap year?

3b. Solve for t: 64/27 = (3/4)^(t – 1).

4a. Convert (3 7/8) base 10 to binary.
4b. Evaluate (8.17 x 10⁴) + (5.43 x 10⁴), giving your answer correct to 2 significant figures in standard form.

5a. Find a positive number of least absolute value that is equivalent to:
i. -56 mod 12
ii. -28 mod 13

5b. Find the following products:
i. 5 x 7 (mod 5)
ii. 23 x 46 (mod 11)

6a. Find the square root of the following binary numbers:
i. 1000000
ii. 1010001

6b. Solve the following addition problem in base 2:
10110 + 1001 + **** = 11001