MID TERM TEST FIRST TERM MATHEMATICS SS 1

First Term MID TERM TEST 

SUBJECT: MATHEMATICS Class: SS1        Time:

OBJECTIVES

Answer all questions 

1. Express 40cm as a percentage of 8m (a) 5% (b) 8% (c) 10% (d) 20%
2. Which one of the following is the logarithm of 8.2? (a) 0.30% (b) 0.9138 (c) 8.3010 (d) 8.9138
3. 15 of the people in a village have been inoculated against measles. If 50 people have been inoculated the numbers of people in the village is (a) 10 (b) 150 (c) 250 (d) 300
4. Calculate the value of (27127)– 1/3 × ( 49 )1/2  (a) 12125 (b) 25 (c) 109 (d) 35
5. Simplify 33 x 6-3 x 25  (a) 0 (b) 1 (c) 3 (d) 4
6. If Y = { 5, 1, 4, 1, 2, 6, 1} , then n (Y) = (a) 1 (b) 5 (c) 6 (d) 7
7. Calculate 3y2 – 5y – 6 when y = -2 (a) 16 (b) -8 (c) -4 (d) 4
8. If P = x-y, then in term of p and y, x = ? (a) p-y  (b) p2 + y (c) p2+y, (d) p2 – y2
9. Express 4x – y3  as a simple fraction (a) 4-y3x  (b) 4x-3y2x  (c) 4-yx-3  (d) 12-xy3x
10. A rectangle is five times as long as it is wide. If its area is 180cm2, then the length of the rectangle is (a) 6cm (b) 12cm (c) 15cm (d) 30cm
11. A motorist drives at 100km/hr. how many minutes will it take her to travel d km? (a) 60d100 (b) 60006 (c) 100d60 (d) d6000
12. Simplify ( 312 + 413 ) ÷ ( 56 – 23) (a) 114 (b) 812 (c) 35 (d) 47
13. In a particular year, the exchange rate of naira (₦) varies directly with the dollar ($). If ₦1122 is equivalent to $8, the naira equivalent of $36 (a) ₦8,976 (b) ₦5,049 (c) ₦140.25 (d) ₦31.17
14. Find the value to which ₦3000 will amount in 5 years at 6% per annum, simple interest (a) ₦3,900 (b) ₦3,750 (c) ₦3600 (d) ₦3,300
15. Express the square root of 0.000144 in the standard form (a) 1.2 x 10-4 (b) 1.2 x 10-3 (c) 1.2 x 10-2 (d) 1.2 x 10-1
16. Two sets are disjoint if (a) they are both empty (b) the union is an empty set (c) their intersection is an empty set (d) one of them is a subset of the other
17. If 32x – 23x = 4 solve for x (a) 45 (b) ) 413 (c) ) 524 (d) ) 1324
18. If (2x + 3)3 =125, find the value of x (a) 1 (b) 2 (b) 3 (d) 4
19. Factorize x2 – 2x – 3xy + 6y (a) (x – 2)  ( 3x – y )  (b) (x – 3y )  (x – y )    (c) (x – 2 ) ( x + 3y)   (d) (3x + y ) (x – 2)is the median of t
20. What is the median of the following scores; 22, 41, 35, 63, 82, 74? (a) 82 (b) 52 (c) 49 (d) 22
21. Express 2.7864 x 10-3 to two significant figures (a) 0.28 (b) 0.27 (c) 0.0028 (d) 0.0027
22. 85% of x is ₦3230, what is the value of x? (a) ₦2745.50 (b) ₦3714.50 (c) ₦3800.00 (d) ₦4845.00
23. If 92x = 13 (27x ) find x (a) 2 (b) 1 (c) -1 (d) -2
24. One of the factors of Mn – nq – n2 + mq is (m – n . the other factor is (a) (n + q ) (b) (n – q) (c) (q – n) (d) (q – m) 
25. If x2 = 81 1⅟2 find x (a) 3 (b) 9 (c) 18 (d) 27
26. The sum of the interior angles of a polygon is 1080°. How many side has the polygon? (a) 6 (b) 8 (c) 9 (d) 10 

The diagram below is a Venn diagram representing a universal set and the subsets X and Y 

Use the above information to answer question 27-29

1. X U Y=         (a) { a,d} (b) { b, c } (c) { e , f } (d) { a, b, c, d }
2. X n Y =         (a) { b, c}  (b) { e, f} (c) {a, e}
3. Element of u = (a) { a, b , c , d}   (b) { a, b , c , d , e}  (c) { a, b , c , d } (d) {ᴓ}
4. If 5p-3 = 8 x 5-2 . find value of p  (a) 8125 (b) 25  (c) 52  (d) 85

Theory

1. Without using mathematical tables. Find the value of Log10 6 + Log1045 – Log1027 

1. Simplify 81 127
2. Make x the subject of the formula in xa + yb = 1
3. Hence, if a=4, b=1 and y= -2 evaluate x
4. X varies directly as the product of U and V and inversely as their sum. If x=3 when u=3 and v=1 what is the value of x if U = 3 and V= 3?
5. Let U = {1, 2, 3, 4 ….. 10}

     A= {Odd numbers up to 9}

     B= {numbers less than 7}

Write out the members of the following

1. A U B
2. A n B
3. A U 
4. A U 
5.     n B

5. Given       ABC produced BC to point X prove that A + B + C =180◦

Hence find the value of a, b and c in the diagram below.

1. If the interior angles of a pentagon are x0 , ( x + 5)0, ( x + 10 )0 , ( x + 15 )0 and ( x + 20)0. Find the value of x.