MATHEMATICS EXAM QUESTIONS SS1 SECOND TERM

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SECOND TERM SS1 MATHEMATICS EXAM QUESTIONS – EDUDELIGHT.COM

SECOND TERM EXAMINATION

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

SUBJECT:  GENERAL MATHEMATICS                 CLASS: SSS 1 TIME APPROVED: 21/2 HRS

INSTRUCTION: Answer all questions in this part

  1. If P = {x: 1  x  6} and Q = {x: 2 < x < 9}, where x  R, find P  Q.  A. {1, 2, 3, 4}                  

   B. {3, 4, 5, 6}     C.  {4, 2, 9, 8}    D. {1, 2, 3, 5}

  • Simplify    -2/3   A.  4        B.  -1/4         C.  1/8       D.  –4
  •  Simplify:  -6)1/2            A. r/2          B. 2r            C. 1/2r           D. 2/r
  •  What is the product of 27/5 , 3-3 and (1/5)-1         A. 5           B. 3           C. 1            D.1/25
  • Evaluate: (81)3/4 – (27)1/3          A. 27            B. 1            C. 1/3          D. 1/8
  • Without using tables, evaluate: (343)1/3 x (0.14)-1 x (25)-1/2  A. 12       B. 10      C. 8     D. 7
  • If 23X + 101X = 130X, find the value of x   (a) 7   (b) 6   (c) 5   (d) 4
  • Simplify:  (0.2)3 x 8

                                       0.42              A. 40                 B. 0.4              C. 0.2             D. 0.04

  1. Simplify:   4(2n + 1) – 2n + 2

                                       2n + 1 – 2n           A. 2n + 2            B. 2n + 1               C. 4               D. 2           E. 2n

  1. Express 0.0000407, correct to 2 significant figures. A. 0.0 B. 0.00004 C. 0.000041  D. 0.0000407
  2. If x varies inversely as y and y varies directly as z, what is the relationship between x and z?    A. x  z                    B. x                      C. x  z2                     D. x  
  3. Evaluate:                     A.                         B.                  C.                         D.
  4.  
+01234
 001234
112340
223401
334012
440123
X01234
000000
101234
202413
303142
404321


                        Fig 1                                        Fig 2

      Fig 1 and Fig 2 are the addition and multiplication tables respectively in modulo 5. Use these tables to     solve the equation: (n x 4) + 3 = 0           A. 1                  B. 2                C. 3                 D. 4

  1. The ages of Tunde and Ola are in the ratio 1:2. If the ratio of Ola’s age to Musa’s age is 4:5, what is the ratio of Tunde’s age to Musa’s age?        A. 1:4               B. 1:5             C. 2:5             D. 5:2
  2. If M = {x: 3  x < 8} and N = {x: 8 < x  12}, which of the following is true?   

             I. 8  M  N                II. 8  M  N               III. M  N =     

A. III only                 B. I and II only                  C. II and III only              D. I, II and III

  1. If x =  and y = -6, evaluate:  xy –           A. 0             B. 5               C. 8               D. 9
  2. Solve the equation:  +  = 3           A.               B.                C.                 D.
  3. A sum of 18,100 was shared among 5 boys and 4 girls with each boy taking 20 more than each girl. Find a boy’s share.      A. 1,820     B. 2000     C. 2,020      D. 2,040
  4. One of the factor of 7x2 + 33x – 10 is  A. 7x + 5   B. x – 2    C. 7x – 2       D. x – 5
  5. Solve:   = (3x – 2)      A.                  B. 2/3        C.   ¾                D.  3/5
  6. Simplify: 3x – (p – x) – (r – p)          A. 2x – r             B. 2x + r             C. 4x – r                D. 2x – 2p – r
  7. An arc of a circle of radius 7.5cm is 7.5cm long. Find, correct to the nearest degree, the angle which the arc subtends at the centre of the circle. [ take  = ]  

A. 290                   B. 570                    C. 650                        D. 1150

  • Which of the following is true about parallelogram?    A. opposite angles are supplementary     B. opposite angles are complementary        C. opposite angles are equal       D.  opposite angles are reflex angles
  • A bearing of 3200  expressed as a compass bearing is:     A. N500W      B. N400W     C. N500E    D. N400E
  •                               Q

        R

            P

            X                                                                   Y

                                          O

In the diagram, XY is a straight line. <POX = <POQ and <ROY = <QOR. Find the value of <POQ + <ROY            A. 600                 B. 900               C. 1000                    D. 1200 

  • A stationary boat is observed from a height of 100m. if the horizontal distance between the observer and the boat is 80m, calculate, correct to two decimal places, the angle of depression of the boat from the point of observation.     A. 36.870                B. 39.700                 C. 51.340                    D. 53.130
  • The average age of a group of 25 girls is 10 years. If one girl, aged 2 years and 4 months joins the group, find, correct to one decimal place, the new average age of the group.   

A. 10.1 years                    B. 9.3 years               C. 8.7 years               D. 8.3 years

  •          N

        P                                             T

                             1000            500

                                R

       Q                                              S

In the diagram, NQ//TS, <RTS = 500 and <PRT = 1000. Find the value of <NPR.    

A. 1100                         B. 1300                        C. 1400                  D. 1500

  • Simplify the expression:       A. a2 – b2          B. b2 – a2           C. a2b – ab2           D. ab2 – a2b
  • Find the 6th term of the sequence: , , …..     A.              B.              C.              D.
  • The diagonal of a square is 60cm. Calculate its perimeter. A. 20      B. 40     C. 90    D. 120
  1. The roots of a quadratic equation are – and . Find the equation.   

       A. 6x2 – x + 2 = 0           B. 6x2 – x – 2 = 0           C. 6x2 + x – 2 = 0        D. 6x2 + x + 2 = 0

  1. Make x the subject of the relation: d =      

      A. x =                   B. x =                  C.                     D. x =

  1. Consider the statements:

      p: it is hot

      q: it is raining

      Which of the following symbols correctly represents the statement “it is raining if and only if it is cold”?     A. p  q                  B. q  p                 C.                    D. q  p

Read Also

      In a class of 32, a student can either do Government, History or both. If 16 students do Government, 18 do History and 3 students do none of the two subjects, find how many do both. A. 2  B. 5  C. 37  D. 34.

Use the information below to answer questions 35 – 37.

In a class of 18, a student can either offer Biology, Economics or both. If 8 students offer Biology, 12 offer Economics and 5 students offer neither of the two subjects.

  • Find how many students offer both subjects.     A. 25        B. 17      C. 7       D. 12.
  • How many students offer exactly one subject?      A. 1      B. 6      C. 12        D.  5.
  •  Find the number of students that offer at most one subject. A. 11        B. 14       C. 13      D. 5.
  • Which of the following brackets is recommended for set notation?   A. Curly bracket    B. exposed bracket C. enclosed bracket        D. braces.
  • Solve for x if 15 – 2x < 5.  

A. x > 25          B. x > 15                           C. x > 5                D. x > -10                   E. x > -5

  • Twice a certain number x is less than 8. Find the range of values of the number. 

A. x > 8            B. x > 2                             C. x < 8                D. x < 4                      E. x < 2

  • Solve: (x – 1) > 4.   

A. 2x – 2 > 4    B. x – 1 > 6                      C. x > 9                  D. x > 8                     E. x < 8

  •  

x

-3  -2  -1  0   1    2    3                     Find the value of the inequalities

  1. x > -2          B. x > -3                          C. x > 2                   D. x > 2.5                  E. x > -2.5
  2. Find the area of a triangle whose base is 11cm and height 6cm. 

A. 66cm2          B. 17cm2                          C. 22cm2                 D. 33cm2    

  • In a class of 53 students, x of them are boys. How many girls are in the class?      

A. 53x              B. 53 + x                           C.                        D. 53 – x                   E.

  • Calculate the perimeter of the trapezium below:

                                   B              4cm                   C

   3cm                                                    2cm

                                                                                        D    A. 8cm   B. 12cm    C. 15cm   D. 18cm  

                                                        6cm

  • If 20(mod 9) is equivalent to y (mod 6), find y.    A. 1    B. 2     C. 3     D.4
  •              

                                                M       a                   f           N

                                                  b      c        g

                                      e

      Determine M1  N from the Venn diagram.  A. {f, g}     B. {e}      C. {c, f, g}       D. {e, f, g}

  • What is the product of the roots of 3x2 – 4x – 7 = 0?    A. 2      B.       C.       D.
  • Which term must be added to make x2 + 2x a perfect square?  A.      B.   C.      D.
  • Expand: (y-6)2   A. y2 + 12y + 36        B. y2 – 12y – 36        C. y2 + 12y – 36         D. y2 – 12y + 36

SECOND TERM SS1 MATHEMATICS EXAM QUESTIONS – EDUDELIGHT.COM

THEORY:   ANSWER FOUR QUESTIONS

1. Use a scale of 2cm to  1 unit on the x-axis and 1cm to 1 unit on the y-axis, draw on the same axes the graphs of:  y = 3 + 2x – x2; y = 2x – 3 for -3  x  4.

2.Solve the following equations: (i) x2+ 2x +3 =0 using factorization  method (ii) 3x2-x-2=0 using completing the square method (iii) 2x+7x+5=0 using the quadratic formula method

3(a) A chord AB is 45cm long on a circle of radius 41cm. calculate the angle subtended at the centre of the circle.

(b) The angles subtended by a chord at the centre of a circle of radius 13cm is 480. How far is the chord to the centre of the circle?

4.  In a market survey, 100 traders sell fruits, 40 sell apples, 46 sell oranges, 50 sell mangoes 14 apples and oranges, 15 apples and mangoes, while 10 sell all the three fruits. Each of the 100 traders sells at least one of the three fruits. Represent the information in a venn diagram and find the number that sell (i) only one type of fruit (ii) only two types of fruit.

5. Find the value of  (i) STV (ii) TUV (iii)VT (iv) TU, in the diagram below if ST=3cm  SV and UV=12cm:

      T                                                           U 

           3cm

                                                              12cm

                                                                                                                                                                                                               S          4cm          V

6. Draw the Truth Table for statements p, q and r.

    Consider the following statements:

           p: Julie has diarrhoea

           q: Julie is in hospital

      If p q, state whether or not the following statements are valid.

  1. If Julie is in the hospital, then she has diarrhea
  2. If Julie is not in the hospital, then she does not have diarrhoea
  3. If Julie does not have diarrhoea, then she is not in the hospital

                                    Mid Term Test

  1. If P = {x: 1  x  6} and Q = {x: 2 < x < 9}, where x  R, find P  Q.      A. {1, 2, 3, 4}                   

  B. {3, 4, 5, 6}                C.  {4, 2, 9, 8}            D. {1, 2, 3, 5}

  • If x varies inversely as y and y varies directly as z, what is the relationship between x and z?   A. x  z                    B. x                      C. x  z2                     D. x  
  • If 20(mod 9) is equivalent to y (mod 6), find y.    A. 1    B. 2     C. 3     D.4
  •  

x

-3  -2  -1  0   1    2    3                     Find the value of the inequalities

  1. x > -2          B. x > -3                          C. x > 2                   D. x > 2.5                  E. x > -2.5
  2. Solve: (x – 1) > 4.   

A. 2x – 2 > 4    B. x – 1 > 6         C. x > 9                  D. x > 8                     E. x < 8

  • Which term must be added to make x2 + 2x a perfect square?  A.     B.   C.    D.
  • Expand: (y-6)2   A. y2 + 12y + 36      B. y2 – 12y – 36      C. y2 + 12y – 36     D. y2 – 12y + 36
  • Which of the following brackets is recommended for set notation?   A. Curly bracket    B. exposed bracket C. enclosed bracket        D. braces.
  • Solve:   = (3x – 2)      A.                  B. 2/3        C.   ¾                D.  3/5
  • Simplify: 3x – (p – x) – (r – p)     A. 2x – r      B. 2x + r      C. 4x – r    D. 2x – 2p – r

                        THEORY

  1.   In a market survey, 100 traders sell fruits, 40 sell apples, 46 sell oranges, 50 sell mangoes 14 apples and oranges, 15 apples and mangoes, while 10 sell all the three fruits. Each of the 100 traders sells at least one of the three fruits. Represent the information in a venn diagram and find the number that sell (i) only one type of fruit (ii) only two types of fruit.
  2. 1. Use a scale of 2cm to  1 unit on the x-axis and 1cm to 1 unit on the y-axis, draw on the same axes the graphs of:  y = 3 + 2x – x2; y = 2x – 3 for -3  x  4.
  3. 2.Solve the following equations: (i) x2+ 2x +3 =0 using factorization  method (ii) 3x2-x-2=0 using completing the square method (iii) 2x+7x+5=0 using the quadratic formula method

SECOND TERM SS1 MATHEMATICS EXAM QUESTIONS – EDUDELIGHT.COM

MATHEMATICS SS1

SECTION A

1. Find the value of (132 – 122)2 (a) 625 (b) 1625 (c) 2255 (d) 825

2. Express 4.55 X 10-3 in ordinary form (a) 0.00455 (b) 0.000455 (c) 0.045

(d) 0.455

  • An Isosceles triangle has              number of lines of symmetry (a) 1 (b) 3 (c) 4 (d) 5
  • A trader bought a book for N 500.00 and sold it for N 360.00. find the percentage loss (a) 18% (b) 28% (c) 38% (d) 48%
  • Find Log 10

35 + Log 10        – Log 10

7 (a) ½ (b) 4 (c) 2/3 (d) 4

6. If 23n + 1234 = 40, find n (a) 5 (b) 10 (c) 15 (d) 7

  • Find the value of x in the diagram below (a) 1200 (b) 600 (c) 800 (d) 1500

x

  • Write the next two numbers in the sequence -4, -6, -8, … (a) -10, -12 (b) 10, 12 (c) 8, -12 (d) -10, 12
  • Factorize h2 + 8h +16 = 0 (a) 4 Twice (b) 4, 5 (c) 6, 2 (d) 5 Twice 10.     If Sinθ = 0.5, what is θ (a) 300 (b) 450 (c) 800 (d) 900
  • 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

13.   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

  1. Solve x-3 =

4

x (a) x = 15 (b) x = 10 (c) x = 1.5 (d) x = 12 5

  1. 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

16.  Find the square root of 36/25(a) 9/5 (b) 5/9 (c) 3/31 (d) 6/25

17.   Find the value of x in the diagram below (a) 340 (b) 640 (c) 100 (d) 320

1120

X                      x                

18.   In the diagram below |AB| = |AD| (a) 540 (b) 900 (c) 620 (d) 1080

A

B                            C

19.   Evaluate tan-1 (0.1763) (a) 100 (b) 200 (c) 300 (d) 400

  • Find the value of x which satisfies the equation (c) 6 (d) 5½

  21 = 3 (a) 4 (b) 10 2x-1

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

22.   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 =

√3h2 2

, make h the subject of the relation (a)h =

√2D 3

  • h =

√4D 9

  • h =

√2D2 3

  • D =

√2D2 3

  • Round off 0.008251 to 2 significant figure (a) 0-82 (b) 0.83 (c) 0.0083 (d) 0.0082

28.   The tan 3150 is (a) 1 (b) √2 (c) 0 (d) -1 (e) -√2

2                            2

29.   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

30.   The value of 2100is (a) – ½ (b)-√3 (c) ½ (d) √2 (e) √3

2                   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 = 4n (b) n+55 = 4 (c) 3n-55 = 4 (d) n+55 = 4n

3                     3                    3                    5

  • 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

34.   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

39.   Simplify 1251/3 X 49-1/2 X 100 (a) 350 (b) 35 (c) 1/35 (d) 1/350 (e) 0 40.        If 32x = 27, what is X (a) 1 (b) 1.5 (c) 4.5 (d) 18

SECTION B

Answer 5 Questions

  1. Evaluate the following logarithm table

a. 5.34 X 67.4

2.7

(3.65)2 X 145.6

b.          0.4631

c.  15.05 X  0.00695

6.95 X 102

  • 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

a. 2x – 4 = x + 1 3

  • y 8
  • 2

= 5 – y 12  3

1

3 (x + 5) = 4(5x – 3)

d. 1 + 4 – 5 + 1 = 0

x     3x   6x

  • 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

5. If U = {1,2,3,4,5}, A = { 1,3} and B= { 3,4}, Find (a) A’ (b) B’ (c) (AnB)’ (d) (AUB)’

a. 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
  2. Find the number of students that studied all three students
  3. Find the number of students that studied only mathematics
  4. 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.

SECOND TERM SS1 MATHEMATICS EXAM QUESTIONS – EDUDELIGHT.COM

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