Second Term Maths Exams SS 1

SECOND TERM MATHEMATICS EXAMINATION CLASS: SS1

SECTION A: Multiple Choice Questions

1. Solve the following equations. Check the results by substitution: (4b – 12)(b – 5) = 0 A. ½, 4 B. 3, 5 C. 4, 6 D. 5, 3
2. (11 – 4x)² = 0 A. 11/3, 3 B. 23/4, 3 C. 23/4 twice D. 24/3 twice
3. If α and β are the roots of the equation 2x² – 7x – 3 = 0 find the value of: α + β (a) 2/3 (b) 7/2 (c) 2/5 (d) 5/3 αβ (a) -3/2 (b) 2/3 (c) 3/2 (d) – 2/3
4. If A={a, b, c}, B={a, b, c, e}, and C={a, b, c, d, e, f}, find A∩B(AƲC) A. {a,b,c,d} B. {a,b,c,d,e} C. {a,b,d,d,e} D. {a,b,c}
5. In a class of 50 pupils, 24 like oranges, 23 like apples, and 7 like the two fruits. How many students do not like oranges and apples? (a) 7 (b) 6 (c) 10 (d) 15
6. In a survey of 55 pupils in a certain private school, 34 like biscuits, 26 like sweets, and 5 of them like none. How many pupils like both biscuits and sweets? (a) 5 (b) 7 (c) 9 (d) 10
7. In a class of 40 students, 25 speak Hausa, 16 speak Igbo, 21 speak Yoruba, and each of the students speaks at least one of the three languages. If 8 speak Hausa and Igbo, 11 speak Hausa and Yoruba, 6 speak Igbo and Yoruba. How many students speak the three languages? (a) 3 (b) 4 (c) 5 (d) 6
8. If cos θ = sin 33°, find tan θ. A. 1.540 B. 2.64 C. 0.64 D. 1.16 E. 1.32
9. If the diagonal of a square is 8cm, what is the area of the square? A. 16cm² B. 2cm² C. 4cm² D. 20cm² E. 10cm²
10. Calculate the angle which the diagonal in question 4 makes with any of the sides of the square. A. 65° B. 45° C. 35° D. 25° E. 75°

SECTION B: Theory

1. Find the truth value of these statements. a. If 11 > 8 then -1 < -8 b. If 3 + 4 ≠ 10 then 2 + 3 ≠ 5
2. Calculate: (i) the area of the shaded segments in the following diagrams. (ii) The perimeter
3. A rhombus has sides 11 cm long. The shorter diagonal of the rhombus is 8cm long. Find the size of one of the smaller angles of the rhombus correct to the nearest degree.
4. From a place 400m north of X, a student walks eastwards to a place Y which is 800m from X. What is the bearing of X from Y?
5. In a certain class, 22 pupils take one or more of Chemistry, Economics, and Government. 12 take Economics (E), 8 take Government (G), and 7 take Chemistry (C). Nobody takes Economics and Chemistry and 4 pupils take Economics and Government. Using set notation and the letters indicated above, write down the two statements in the last sentence. Draw the Venn diagram to illustrate the information. How many pupils take: Both Chemistry and Government? Government only?
6. The universal set U is the set of integers: A, B, and C are subsets of U defined as follows: A = {….., -6, -4, -2, 0, 2, 4, 6…..}