MATHEMATICS EXAM QUESTIONS FOR SS1 THIRD TERM

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THIRD TERM SS1 MATHEMATICS EXAMINATION QUESTIONS – EDUDELIGHT.COM

   THIRD TERM EXAMINATION

Examination malpractices may lead to a repeat of the subject or suspensions don’t be involved.   

Subject:  MATHEMATICS                                    Class: SS 1     

DURATION ; 2Hrs         

PART1: OBJECTIVES- 1HR

  1. Simplify 2 –log255    A. 11/2      B. 21/2      C. 51/2     D. ½
  2. Find x if log9x = 1.5    A. 72    B. 27     C.  36    D. 3.5 
  3. The edge of a cube whose volume is equal to the volume of a cuboid of dimensions 63 cm ×    56 cm × 21 cm is (A) 21 cm (B) 28 cm (C) 36 cm (D) 42 cm
  4. If radius of a sphere is doubled, then its volume will become how many times of the original volume?  (A) 2 times (B) 3 times (C) 4 times (D) 8 times
  5. Volume of a cylinder of the same base radius and the same height as that of a cone is  (A) the same as that of the cone (B) 2 times the volume of the cone (C) 3.1 times the volume of the cone (D) 3 times the volume of the cone.

Use the information below for questions 6 to 8:

A dice is thrown 14 times and the scores were:  1, 6, 6, 4, 3, 5, 5, 4, 4, 4, 5, 2, 1, 6.

  •  Find the range (A)4 (B)3 (C)5 (D)6
  •  Find the median score (A)4 (B)3 (C)5 (D)6
  •  Find the mode score. (A)4 (B)3 (C)5 (D)6
  •  Find the mode, median, and range of 50%, 55%, 60%, 70%, 65%.(A) 0.55 (B)0.6 (C)0.65 (D)0.70

Use the information below for questions 10 to 12:

Given that U ={all positive integers from 1 – 10}, A ={all odd numbers  10}, B ={all even numbers < 10} and C ={all prime numbers }

  1.  Find n (A  B) I. (A) 10 (B) 1 (C) 0 (D) .
  2.  Find (AC) I  B. (A) {3 – 8} (B) {3, 5, 7} (C) {1, 2, 3, 8, 9} (D) {2, 5, 7, 6, 10}.
  3.  Find n (AI BI  CI). (A) 2 (B) 0 (C) 1 (D) {0}.
  4.  Evaluate  x . (A) 20 (B) 5 (C) 1/20 (D) -20.
  5.  Simplify; (216)-2/3 x (0.16)-3/2. (A) 2/125 (B) 125/288 (C) 4/225 (D) -2/225.
  6.  Simplify; 2n-1 x 42n+1  83n where n = 1. (A) 1/8 (B) 1/16 (C) -8 (D) 16.
  7.  Which of the following is the solution to the equation; 2x2 + 3x – 5? (A) 5 and -2 (B) -2 and -5 (C) 2 and 5 (D) -5 and 2.
  8.  Simplify 82/3 x 4-1/2  163/4. (A) 1/16 (B) 1/24 (C) 16 (D) 8.
  9.  Given that 2x = 0.125, find the value of x. (A) -2 (B) 8 (C) 14 (D) -3
  10.  Simplify Log1.5 2.25 = 2. (A) 1 (B) -1 (C) 2 (D) -3.
  11.  Simplify 82/3 x 4-1/2  163/4. (A) 1/16 (B) 1/24 (C) 16 (D) 8.
  12.  Given that 2x = 0.125, find the value of x. (A) -2 (B) 8 (C) 14 (D) -3.
  13.  The curved surface area of a cylinder, 5cm high, is 110cm2. Find the radius of its base.( take =)        (A) 2.6cm    (B) 3.5cm    (C) 3.6cm    (D) 7cm
  14.  The volume of a pyramid with height 5cm is 90cm3. If its base is a rectangle with dimensions  xcm by 6cm, find the value of x.    A. 3    B. 5    C. 6    D. 8
  15.  Make “s” the subject of the relation: p = s +          

(A) s =         (B) s =          (C) s =       (D) s =

  •  Factorise: (2x + 3y)2 – (x – 4y)2        

(A)(3x – y)(x + 7y)   (B) (3x + y)(2x – 7y)  (C) (3x + y)(x – 7y)  (D) (3x – y)(2x + 7y)

  •  

                           P                                            Q                                               R

                                                          480

                           S                        T                                   U                                          V

                                                        600

                         W                                        X                                 Y

In the diagram, PR//SV//WY, TX//QY, <PQT = 480 and <TXW = 600. Find <TQU    

(A) 1200     (B) 1080     (C) 720     (D) 600

  • The ratio of the exterior angle to the interior angle of a regular polygon is 1:11. How many sides have the polygon?     A. 30      B. 24      C. 18     D. 12
  • Halima is n years old. Her brother’s age is 5 years more than half of her age. How old is her brother?         A.  +     B.  – 5  C.      D.  + 5
  • An object is 6m away from the base of a mast. If the angle of depression of the object from the top of the mast is 500, find, correct to 2 decimal places, the height of the mast. A. 8.60m B. 7.83m C. 7.51m D. 7.15m
  • The coefficient of a2 in the expression 3a2 – 2a + 25 A. 25 B. -2  C. 2     D. 3   
  • Find the sum of 1001two and 111101two    A. 100001two     B. 100011two    C. 100110two      D. 1000110two
  • How many vertices have a cuboid?    A. 4    B. 6    C. 8     D. 12    
  • Given that logx 64 = 3, evaluate x log2 8     (A) 6  (B) 9 (C) 12 (D) 24
  • If 2n = y, find 2(2 + n/3)     (A) 4y1/3     (B) 4y-3    (C) 2y1/3    (D) 2y-3
  • If m = 4, r = 16 and n = 9, evaluate m/n – 17/9 + n/r        (A) 15/16    (B) 11/16      (C) 5/16       (D) –37/48
  •  

    p

                             m                  n

From the diagram, which of the following is true?    (A) m + n + p = 1800     (B) m + n = 1800     (C) m = p + n     (D) n +p= m +180

  • In the diagram below,   is a chord of a circle KMN centre O and radius 10cm. if <MON = 1400, find, correct to the nearest cm, the length of the chord MN.      A. 19cm     B. 18cm      C. 17cm       D. 12cm

                                                                                                                                                                                                                                                       K

            O

                        1400

                                                         M                            N

  •  If 23x + 101x = 130x, find the value of x.    A. 7   B. 6    C. 5     D. 4
  •  Simplify: ( – ) x 1.      A.    B.    D.1
  • A motorcycle is paid for in twelve equal installments. Each payment is 5,500. How much does the motorcycle cost?  A.66,000   B.15,000    C.32,000    D.60,000   
  • Solve 1 + 2m > 3m + 5         A. m > 4      B. m > -4        C. m < 4        D. m < -4       
  • Express  –  as a single fraction     A.     B.       C.      D.      
  • Express 526000 in standard form:   A. 5.26 x 104    B. 5.26 x 10-4       C. 5.26 x 103        D. 5.26 x 105 
  • If 5 people can do a piece of work in 6 days, how many days should 10 people take to do it? (Assume that the rate of work is the same)    A. 4   B. 5    C. 7    D. 3
  •  0.5046 correct to 3 decimal places     A. 0.5050   B. 0.504    C. 0.50     D. 0.505   
  • The square root of 12 is   A. 1    B. 3       C. 3      D. 6     E. 6

Use the figure below for questions 45-47

Below is a chart of favourite colours of selected people.

  •  Which is the most popular colour?  A. blue    B. yellow    C. green    D. red  
  • Which is the least popular colour?   A. blue    B. yellow    C. green    D. red  
  • How many people were asked to name their favourite colours?    A. 5    B. 10     C. 12     D. 15   
  •                                                                                           T

                                                                                        cm

              W                                                    cm                 X      1cm       U

In the diagram, TX is perpendicular to UW,/UX/ 1cm and /TX/ = /WX/ =  cm. find <UTW                            A. 1350     B. 1050       C. 750     D. 600

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THIRD TERM SS1 MATHEMATICS EXAMINATION QUESTIONS – EDUDELIGHT.COM

PART1: THEORY

Answer 5 Questions

  1. Evaluate the following logarithm table
  2. Solve the following pair of simultaneous equation
    1. x + 2y = 5 and x + 3y = 8
    1. x + y = 6 and 3x – y = -4
  3. solve the following equations
    1.  – 4 = x + 1
    1.  =  –
    1.  = (5x – 3)
    1.   +  –  + 1 = 0
  4. If P Varies directly as the square of Q and inversely as R, Find the relationship between P, Q and R
    1. 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
      1. The relationship between T, P and V
        1. The time to fuel 50 Vehicles in the station with 2 pumps
        1. The number of pumps to fuel 40 vehicles in 20 minutes
  5. If U = {1,2,3,4,5}, A = { 1,3} and B= { 3,4}, Find (a) A’ (b) B’ (c) (AnB)’ (d) (AUB)’
    1. 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.
      1. Draw a venn diagram illustrating the information
      1. Find the number of students that studied all three students
      1. Find the number of students that studied only mathematics
  6. 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?
    1. 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.

THIRD TERM

Examination malpractices may lead to a repeat of the subject or suspensions don’t be involved.   

SUBJECT   MATHEMATICS

 CLASS: S. S. S ONE

DURATION 2HR

PAPER2  

              Answer only four questions in this section. (50 marks)

  •  (a)A survey carried out recently to find the number of applicants that applied for jobs in three newspaper establishments revealed that 70 applied to the Daily Times, 65 applied to the Daily Graphics and 85 applied to the Punch. 40 applied to the Daily Times only, 20 applied to the Daily Graphic only, while 45 applied to the Punch only. If 5 applied to all the three newspaper establishments, find:
  • The number that applied to both the Daily Times and the Daily Graphics.
  • The number that applied to the Daily Times and the Punch.
  • The number that applied to both the Daily Graphic and the Punch.
  • The number that applied to at least one newspaper establishment.

(b)An operation * is defined on the set R, of real numbers by x*y = x + y + 3xy. If the operation * is commutative,

  • Find the identity element e of R under the operation *
  • Determine the inverse of the element x  R, under the operation *
  • Find the value of x  R, which has no inverse.
  • (a)Solve for x if 22x+1 – 5(2x) + 2 = 0.

(b) Find the values of x which satisfy the equation; log10 (x2 + 4) = 2 + log10 x – log10 20.

 (3) (a) Find the gradient of the line whose equation is given by: (a – b)x + (c – d)y = e + f

 (b) Given that p = (4i – 3j) and q=(-1 + 5j), find (i) /p+q/  (ii) /q/

(4) (a) find the acute angles between the pairs of line: 4y + 3x = 2 and x – 2y = 3

(b) Find the equation of the line which is parallel to the line 5x + 4y = 18 and makes an intercept of 2 units on the x-axis

(5)(a)The function f over the set of real number is defined by f(x) = . Find f-1(5)

(b) Find without using logarithms tables, the value of:      log327 – log1/464

                                                                                                                                  log3 1/81

(6) (a) A binary operation *is defined over R (the set of real numbers) by                                   x * y = xy + x2 + y2 for all x, y € R.    i.          determine whether or not * is commutative   

ii. If x*(x+2) = 49, find x

(b) Solve the equation: log10(4P2 + 1) – 2log10P – log102 = 1

(7)  (a) Consider the mapping below:                        X                       f                 G 

                                                                                                       p                          1

                                                                                                        q                                        

 Find the range and determine the type of mapping above

(b) 52x+1 – 26(5x) + 5= 0 

MATHEMATICS EXAM QUESTIONS FOR SS1 THIRD TERM

THIRD TERM EXAMINATION

CLASS:           S.S.S. 1               SUBJECT: MATHEMATICS

   What is the additive inverse of ? (a)     (b)       (c)

  1. Simplify       (a)        (b) 1         (c) 0
  2. 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    (a) 9         (b) 7        (c) 6
  • Divide the sum of and by       (a)            (b)           (c)
  • 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) 30x3       (c) -30x2
  • Simplify x 4  ÷ 2 .    (a) 2 ½       (b) 1 (c) 3
  • Find the square root of 3   (a) 3.24   (b)             (c)

11.       A school boy spent ¼ of his pocket money on book and 1/3 on dress.  What fraction remains?

  • 5/12          (b) 1/6           (c) 5/6                       (d) 7/12

12.       Find the difference between 4/11 of 2 1/5 and ¾

  • 1/20          (b) 3/20         (c) 13/20                   (d) ¾

13.       Simplify  (271/3)2

  • 9                (b) 4 ½           (c) 6               (d) 18

14.       Simplify          (16)1/4

                                     81

  • 2/3            (b) 8/27                     (c) 1/3                       (d) 4/9

15.       Simplify          Log10100

  • 3                (b) 10             (c) 6   (d) 5

16.       Express 0.00562 in standard form

  • 5.62  x  10-3          (b) 0.562 x 10-2         (c) 5.62 x 10-2           (d) 5.62 x 102

17.       Express 0.000834 in standard form

  • 8.34 x 10-4            (b) 8.34 x 10-3           (c) 8.34 x 103            (d) 8.34 x 104

18.       If 104x = 68, find the value of x

  • 8                (b)  5              (c) 7  (d) 9

19.       If the mean of 4, 6, 9, y, 16 and 19 is 13.  What is the value of y?

  • 24              (b)  20                        (c) 15             (d) 8

20.       Find the median of the following set of scores   65, 72,       55, 48, and 78

  • 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  (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
                          1120               X                             x  

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  (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 = , make h the subject of the relation (a)h =  (b) h =  (c) h =  (d) D =
  • 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)  (c) 0 (d) -1 (e)
  • If Cos  = 5/13, what is the value of tan  for 0<0<900? (a) 13 (b) 5 (c) 13/5 (d) 12/5 (e) 5/12
  • The value of 2100is  (a) – ½ (b) (c) ½ (d)  (e)
  • 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)  (b)  (c)  (d)
  • 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) 203m (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

MATHEMATICS EXAM QUESTIONS FOR SS1 THIRD TERM

SECTION B

Answer 5 Questions

  1. Evaluate the following logarithm table
  2. Solve the following pair of simultaneous equation
    1. x + 2y = 5 and x + 3y = 8
    1. x + y = 6 and 3x – y = -4
  3. solve the following equations
    1.  – 4 = x + 1
    1.  =  –
    1.  = (5x – 3)
    1.   +  –  + 1 = 0
  4. If P Varies directly as the square of Q and inversely as R, Find the relationship between P, Q and R
    1. 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
      1. The relationship between T, P and V
        1. The time to fuel 50 Vehicles in the station with 2 pumps
        1. The number of pumps to fuel 40 vehicles in 20 minutes
  5. If U = {1,2,3,4,5}, A = { 1,3} and B= { 3,4}, Find (a) A’ (b) B’ (c) (AnB)’ (d) (AUB)’
    1. 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.
      1. Draw a venn diagram illustrating the information
      1. Find the number of students that studied all three students
      1. Find the number of students that studied only mathematics
  6. 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?
    1. 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.

THIRD TERM SS1 MATHEMATICS EXAMINATION QUESTIONS – EDUDELIGHT.COM

13 minutes read

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