Exam Questions Second Term SS 1
CLASS: S.S.S. 1
Second Term Examination
SUBJECT: MATHEMATICS
- What is the additive inverse of -11/12? (a) 11/12 (b)5.5/6 (c)(-12)/11
- Simplify ((8a)^o)/(8a^o ) (a) 1/8 (b) 1 (c) 0
- Express 72 as a product of its prime factors in index form. (a) 23 x 32 (b) 22 x 33 (c) 2 x 36
- Factorize 10a2 + 30a + 20ab. (a) 10a (a +3+2b) (b) 10a(5ab) (c) 10 (a+3+2b)
- Solve the equation (d+6)/5=3 (a) 9 (b) 7 (c) 6
- Divide the sum of 1/8and 1/9by 17/12 (a) 17/12 (b) 1/6 (c) 17/6
- Find the simple interest on N600 for 3 years at 8% per annum. (a) N456.00 (b) 144.00 (c) 744.00
- Find the product of -5x, 3x and -2x. (a) -4x (b) 30×3 (c) -30×2
- Simplify 5/6x 4 2/3 ÷ 2 7/9. (a) 2 ½ (b) 1 2/5(c) 3 4/7
- Find the square root of 3 6/25 (a) 3.24 (b) 9/5 (c) 6/5
- A school boy spent ¼ of his pocket money on book and 1/3 on dress. What fraction remains? (a) 5/12 (b) 1/6 (c) 5/6 (d) 7/12
- Find the difference between 4/11 of 2 1/5 and ¾ (a) 1/20 (b) 3/20 (c) 13/20 (d) ¾
- Simplify (271/3)2 (a) 9 (b) 4 ½ (c) 6 (d) 18
- Simplify (16)1/4 (a) 81 2/3 (b) 8/27 (c) 1/3 (d) 4/9
- Simplify Log10100 (a) 3 (b) 10 (c) 6 (d) 5
- Express 0.00562 in standard form (a) 5.62 x 10-3 (b) 0.562 x 10-2 (c) 5.62 x 10-2 (d) 5.62 x 102
- Express 0.000834 in standard form (a) 8.34 x 10-4 (b) 8.34 x 10-3 (c) 8.34 x 103 (d) 8.34 x 104
- If 104x = 68, find the value of x (a) 8 (b) 5 (c) 7 (d) 9
- If the mean of 4, 6, 9, y, 16 and 19 is 13. What is the value of y? (a) 24 (b) 20 (c) 15 (d) 8
- Find the median of the following set of scores 65, 72, 55, 48, and 78 (a) 65 (b) 72 (C) 55 (D) 50
- X varies directly as y, when x = 4, y=3. Find y when x=5 (a) 3.75 (b) 8 (c) 4.82 (d) 10.01
- The co-efficient of x in the expansion of (x-2)(x + 9) (a) 7 (b) 15 (c) 16 (d) 2
- Write 0.000362 in standard form (a) 3.62 X 10-4 (b)3.62 X 10-3(c)3.62 X 10-2 (d)3.62 X 10-1
- Solve (x-3)/4= x/5 (a) x = 15 (b) x = 10 (c) x = 1.5 (d) x = 12
- Express 228 as a product of its prime factor in index form (a) 25 X 32 (b) 21 X 51 (c) 33 X 23 (d) 102 X 21
- Find the square root of 36/25(a) 9/5 (b) 5/9 (c) 3/31 (d) 6/25
- Find the value of x in the diagram below (a) 340 (b) 640 (c) 100 (d) 320
- In the diagram below |AB| = |AD| (a) 540 (b) 900 (c) 620 (d) 1080
- Evaluate tan-1 (0.1763) (a) 100 (b) 200 (c) 300 (d) 400
- Find the value of x which satisfies the equation 21/(2x-1)=3 (a) 4 (b) 10 (c) 6 (d) 5½
- The heights of 10 students in meters are as follows 1.1, 1.8, 1.3, 1.1, 1.4, 1.2, 1.1, 1.3, 1.4, 1.2
- Use the information above to answer question 21-25
- Find the median height (a) 1.2 (b) 1.25 (c) 1.3 (d) 1.4
- Find the mean height (a) 1.2 (b) 1.25 (c) 1.3 (d) 1.29
- Find the range of the set of the height (a) 1.3 (b) 1.1 (c) 1.3 (d) 1.2
- Find the modal height of the distribution (a) 1.8 (b) 1.3 (c) 1.2 (d) 1.1
- If a student is picked at random, what is probability that he is one of the shortest students (a) 3/10 (b) 2/5 (c) ½ (d) 3/5
- If D = (√3h^2)/2, make h the subject of the relation (a)h = (√2D)/3 (b) h = (√4D)/9 (c) h = (√2D^2)/3 (d) D = (√2D^2)/3
- Round off 0.008251 to 2 significant figure (a) 0-82 (b) 0.83 (c) 0.0083 (d) 0.0082
- The tan 3150 is (a) 1 (b) (√2)/2 (c) 0 (d) -1 (e) (-√2)/2
- If Cos θ = 5/13, what is the value of tan θ for 0<0<900? (a) 13 (b) 5 (c) 13/5 (d) 12/5 (e) 5/12
- The value of 2100is (a) – ½ (b)(-√3)/2 (c) ½ (d) (√2)/3 (e) (√3)/2
- Make an equation from this information, if I add 55 to a certain number “n” and then divided the sum by 3, the result is four times the unknown number (a) (n-55)/3=4n (b) (n+55)/3=4 (c) (3n-55)/3=4 (d) (n+55)/5=4n
- Express 85 as a binary number (a) 11101012 (b) 10101012 (c) 11101102 (d) 10111102
- A rectangle is 8 cm long and its perimeter is 30cm. find the breadth of the rectangle (a) 7 (b) 8 (c) 10 (d) 12
- Factorise 35 – 2b – b2 (a) (35 – 2b) (b-1) (b) (7+b) (5-b) (c) (3+7) (5-b) (d) (35 – b) (3b +7) (e) (7 + b) (5+b)
- If the second and four term of a G.P are 8 and 32 respectively, what is the sum of the first four term (a) 28 (b) 40 (c) 48 (d) 6 (e) 68
- Evaluate 0.009 ÷ 0.012, leaving your answer in standard form (a) 7.5 X 102 (b) 7.5 X 101 (c) 7.5 X 10-1 (d) 7.5 X 10-2 (e) 7.5 X 10-3
- The angle of elevation of X from Y is 300. If XY = 40m, how high is X above the level of Y? (a) 10m (b) 20m (c) 20√3m (d) 40m (e) 50m
- If 5 times a certain integer is subtracted from twice the square of the integer, the result is 63. Find the integer (a) 21 (b) 9 (c) 7 (d) 4 (e) 3
- Simplify 1251/3 X 49-1/2 X 100 (a) 350 (b) 35 (c) 1/35 (d) 1/350 (e) 0
- If 32x = 27, what is X (a) 1 (b) 1.5 (c) 4.5 (d) 18
SECTION B
Answer 5 Questions
- Evaluate the following logarithm table
- (5.34 X 67.4)/2.7
- (〖(3.65)〗^2 X 145.6)/√0.4631
- (15.05 X √0.00695)/(6.95 X 10^2 )
- Solve the following pair of simultaneous equation
- x + 2y = 5 and x + 3y = 8
- x + y = 6 and 3x – y = -4
- solve the following equations
- 2x/3 – 4 = x + 1
- y/8 = 5/12 – y/3
- 2/3 (x+5) = 1/4(5x – 3)
- 1/x + 4/3x – 5/6x + 1 = 0
- If P Varies directly as the square of Q and inversely as R, Find the relationship between P, Q and R
- The time T taken to buy fuel at a petrol station varies directly as the number of vehicle CV on queue and jointly varies inversely as the number of pumps P available in a station. In a station with 5 pumps, it took 10 minutes to fuel 20 vehicles. Find
- The relationship between T, P and V
- The time to fuel 50 Vehicles in the station with 2 pumps
- The number of pumps to fuel 40 vehicles in 20 minutes
- If U = {1,2,3,4,5}, A = { 1,3} and B= { 3,4}, Find (a) A’ (b) B’ (c) (AnB)’ (d) (AUB)’
- In a group of 120 students, 60 studied mathematics, 40 studied physics, 55 studied Chemistry and 22 studied none of the three subjects, 12 studied physics and mathematics only, 8 studied chemistry and physics only, 7 studied mathematics and chemistry only.
- Draw a venn diagram illustrating the information
- Find the number of students that studied all three students
- Find the number of students that studied only mathematics
- By selling some crates of soft drink for N600.00, a dealer makes a profit of 50%. How much did the dealer pay for the drinks?
- Appaiah and Bekha invested N 25,500 and N 35,500 respectively in a business. They made a profit of N 6200.00 at the end of the year. 20% of the profit was shared equally between them while the remaining was shared on the ratio of their investments. Calculate Appiahs Share of the profit