MULTIPLE CHOICE

INSTRUCTION: Answer all.

[1]Write in figures: two million, two hundred and twenty –two thousand, and two hundred and twenty two. [A] 202 222 [B] 2 222 222 [C] 2 222 [D] 22 222 [E] 222 222  

[2] The H C F OF 16, 12 and 20 is_________ [A] 8 [B] 4 [C] 240 [D] 48 [E] 12

[3] What does 8 stand for in 17.682? __________

 [A] 8 Thousands [B] 8 tenths [C] 8 hundredths [D] 8 tens [E] hundreds

[4] 360 expressed as the product of   its prime factors is _________ 

[A] 2² x 3 [B] 2² X 3² [C] 2² X 5 [D] 2² X 3 X 7 [E] 2³ X 3² X5

[5] Which of the following numbers will not divide 3960 exactly?

[A] 9   [B] 3 [C] 7   [D] 11 [E] 8

[6] How many lines of symmetry has an isosceles triangle?

[A] 0 [B] 1 [C] 2 [D] 3 [E] 6

[7]   Which of the following statement is/are true?

(i) 1089 is divisible by 6 (ii)   1089 is divisible by 9 (iii) 1089 is a perfect square

[A] (i) only [B] (ii) only [C] (iii) only [D] (i) and (ii) only [E]  (ii) and (iii) only

 [8] Find the value of a if:    9a – 7 = 7a + 5

 [A] -6 [B] -2 [C] -1 [D] 1 [E] 6

[9] If x is a set of counting numbers such that x-3 ≤ 1, find x:

[A] x = 1 [B] x = 2 [C] x = 3 [D] x = (1,2,3) [E] x = (1,2,3,4)

[10] Three years ago Bolu was t years old. How old will he be in three years’ time?

[A] 3t years [B] (t + 3) years [C] 6t years [D] (t + 6) years [E] (2t + 6) years

[11] Express 540 as a product of prime factors

[A] 2² x 3² x 5    [B] 2³ x 3² x 5   [C] 2² x 3² x 5   [D] 2 x 3³ x 5   [E] 2² x 3 x 5².

[12] Express 0.27 as percentage

[A] 27% [B] 2.7% [C] 0.27% [D] O.O27% [E] 0.0027%

[13] What percentage of 4 is 5?

[A] 125% [B] 120% [C] 80% [D] 25% [E] 20%

[14] A trader gains #4000 on a sale which was equivalent to 8% profit. What was the cost price? [A] #54 000 [B] 50 000 [C] 32 000 [D] 500 [E] 320

[15] A boy spent half of his money on sweet and one quarter on Kola nut. If he has N6.00 left how much did he have initially?

[A]#8.00 [B] #2.00 [C] #24.00 [D] #36.00 [E] #48.00

[16] In an examination 154 out of 175 candidates passed. What percentage failed?

[A] 6⅔% [B] 12% [C] 13⅘% [D] 15% [E] 88%

[17] Express 250g as a percentage of 2kg:

[A] 125% [B] 0.125% [C] 15% [D] 20.5% [E] 12.5%

[18] Express product of 0.005 and 0.045 in standard form:

[A] 0.00225 [B] 2.2 x 10³ [C] 2.25 x 10³ [D] 2.5 x 10^-1 [E] 2.25 x 10^-4

[19] Which of the following is not a Pythagorean triples?

[A] (5, 12, 13) [B] (3, 4, 5) [C] (10, 40, 41) [D] (6, 8, 10)

[20]The difference between the square of 25.6 and the square of 12.5 is:

[A] 49.911 [B] 499.11 [C] 0.499 [D] 500.11 [E] 49900

[21] Express 83kg in tones.

[A] 8500At [B] 0.85t [C] 0.085t [D] 0.0085t [E] 850t

[22] Find the value of -10 + (-35) + (-7)

[A] 5 [B] 15 [C] 20 [D] -52 [E] 4⁵/₇   

[23] -40 – (-90) will simplify to:

 [A] 50 [B] -50 [C] -40 [D] -130 [E] 130

[24] The product of the square root of 16 and the square of 9 is:

[A] 3240 [B] 1296 [C] 36 [D] 144 [E] 324

[25] Express 250g as a percentage of 2kg.

[A] 125% [B] 0.125% [C] 15% [D] 20.5% [E] 12.5%

[26] 30% of #900 is:

[A] #290 [B]# 27 [C]# 90 [D] #270 [E] #670

[27] Express the ratio of ¹/₅:  ²/₃ in its simplest form.

[A] 2 : 5 [B] 3 : 5 [C] 10 : 2 [D] 3 : 2 [E] 3 : 10

[28]Which of the following is 20%   of 1 hour?

  [A] 5min          [B]      6min      [C] 12min     [D] 20min     [E] 30min

[29] Which of the following plane shapes does not have a line of symmetry?

[A] Rectangle [B] Parallelogram [C] Kite [D] Pentagon [E] Trapezium.

  [30] A triangle with two sides or two angles equal is called:

[A] Scalene [B] Isosceles   [C] Right-angled triangle [D] Equilateral

[E] Obtuse-angled triangle  

[31] When two angles add up to 360° they are said to be:

[A] Supplementary angles [B] Adjacent angles [C] Complementary angles

 [D] Vertically opposite angles [E] Conjugate angles.

[32] A triangle with each angle equals to 60° is called:      

[A] Isosceles [B] Scalene [C] Equilateral [D] Right-angled [E] Acute-angled

[33] Find the distance round a semi-circle of radius 1.4cm. (Take π = 3¹/₇)

[A] 7.2cm [B] 8.8cm [C] 11.6cm [D] 4.4cm [E] 3.08cm

[34] Find the surface area of a cube of side 5cm.

[A] 25cm2 [B] 150cm2 [C]  15cm2 [D] 125cm2 [E] 200cm2

[35] When recording data, the tally marks IIII IIII IIII   III represent the number:

[A] 13 [B] 15 [C] 18 [D] 20 [E] 33

[36] If 6x + 7 = 55, then x =

[A] 7     [B] 8   [C] 10⅓      [D] 42      [E] 48

Use the following set of numbers in questions 38, 39 and 40:  2, 2, 2, 5, 5, 8, 9, 10,11.

[37] The mode of the above set of numbers is:

[A] 2 [B] 3 [C] 5 [D] 6 [E] 9

[38] The median of the above set of numbers is:

[A] 2 [B] 3 [C] 5 [D] 6 [E] 9

[39] The mean of the above set of numbers is:

[A] 2 [B] 3 [C] 5 [D] 6 [E] 9

[40] A number is trebled and then 17 is subtracted. If the result is 40, the original number is: [A] 7⅔ [B] 11 [C] 19 [D] 57 [E] 69

[41] The mean of three numbers is 6. The mode of the three numbers is 7. The lowest of the three numbers is:  [A] 2 [B] 3 [C] 4 [D] 6 [E] 7

[42] If ^x/₁₂ = 3, then x = _________        [A] ⅟_⁴ [B] 3 [C] 4 [D] 9 [E] 36

[43] Which one of the following is most likely to be the correct value of 3.90 × 7.8?

[A] 0.50 [B] 20 [C] 21.50 [D] 30.42 [E] 33.00

[44] Add 10110₂ plus 11011₂, leaving your answer in base two.

[A] 110001₂ [B] 101101₂ [C] 110011₂ [D] 101010₂ [E] 11O1O1₂

[45] Find the square of 0.021

[A] 0.441 [B] 0.00441 [C] 0.0441 [D] 0.000441 [E] 0.0000441

[46] Express the decimal number 9 in binary form:

[A] 1O11₂ [B] 1100₂ [C] 1001₂ [D] 1101₂ [E] 1010₂

[47] The two prime numbers between 20 and 30 are:

[A] 21 and 29 [B] 23 and 27 [C] 23 and 29 [D] 21 and 27 [E] 27 and 29

[48] A round stool has diameter 42m. Find its perimeter. [Take π = ²²/₇]

[A] 66cm [B] 132cm [C]  264cm [D] 44cm [E] 396cm

[49] A man walks round a rectangular field of length 1.22km and breadth 0.78km twice. Calculate the total distance covered. 

 [A] 4km [B] 16km [C] 8km [D] 18km [E] 12km

[50] How much interest does #400 make in 5 years at 7% per annum?

[A] #7 [B] #20 [C] #28 [D] #35 [E] #140

ESSAY

Instruction: Answer three Questions only.

[1](a) Find the total of 1 week 5 days, 6days and 3weeks 4days.

Give the answer :(i) in weeks and days, (ii)in days.

 (b) What number does MCMXXXIX represent?

(c) Translate I   LOVE MATHS into simple code using the numbers that stand for letters of the alphabet.

(d) Write 9 999 999 999 in words.                                                                   

[2](a) Find the HCF and LCM of 63, 42 and 21.

(b) During a week, a student spends 1/3 of her time in bed, 5/24 of her time in lessons and 1/8 of her time doing homework. What fraction of her time is left for doing other things?

(c) In an examination a student scored 60 marks out of a possible 80. What percentage is this?

[3](a) A skeleton square-based pyramid is made from wire. All its edges are the same length. If 40cm of wire is used, find the length of each edge of the pyramid. (Make a sketch).

(b) Name two solids which have (i) five faces (ii) no vertices.

(c)Copy and complete the table below:

S/N	Shapes	Number of vertices	Number of faces	Number of edges
1	Triangular-based pyramid
2	square-based pyramid
3	hexagonal-based pyramid
4	Triangular prism
5	Cube
6	Cuboid
7	cylinder

[4] Simplify the following by grouping:

(a) 3m-8m-2m+16m-4m.

(b) p-15p-5p-2p+25p.

(c) 4y-2x+5x-3y.

(d) 3x+2=7x-4+5x+6.

THEORY OF GRADE 8

INSTRUCTION:  Answer THREE Questions ONLY. Question TWO is compulsory!

[1] (a) Sketch the graphs of the following in  equalities : (i) x ≤ -2 (ii) x > 1 (iii) x ≥ 4 (iv) x < -2.                  (b) What is Pythagoras’ theorem? (c) Which of the following are Pythagorean triples?                     (i) (10, 24, 26) (ii) (14, 49, and 50). (d) A ladder 9.6m long leans against a wall. It touches the wall at a point 9m above the ground. Find the distance of the foot of the ladder from the wall.

[2] The table below gives corresponding values of x and y for the equation y = x – 4.

X	-3	0	+3
y	-7	-4	-1

(a) Using a scale of 2cm to 1 unit on both axes, draw the graph of y = x-4. Using the graph to:              (b) find the value of y when x = 1; (c) find the value of x when y = -5; (d) write down the coordinates of the points where the graph cuts the axes.

[3] (a) What is the instrument used in measuring the angles of elevation and depression?                      (b) The angle of elevation of the top of a tower from a point 42m away from its base on level ground is 36°. Find the height of the tower. (c) From the top of a building 50m high, the angle of depression of a car is 55°. Find the distance of the car from the foot of the building.

[4] (a) A bag contains 6 blue balls, 4 red balls, and 10 black balls. What is the probability of selecting a ball from the bag at random to obtain: (i) a blue ball; (ii) a red ball; (iii) a black or a red ball            (iv) neither a blue nor a red ball; (v) not a red ball; (vi) a yellow ball?  (b) A card is selected from a well shuffled standard pack of 52 cards. What is the probability of getting:  (i) a diamond (ii) an ace (iii) a red card (iv)the ace of spades (v) any card other than an ace?