### Mathematics Examination For Junior Secondary School 1

1. Simplify 549.3  +  9.81  +  2.79, correct to 3 significant figures. (a)  562 (b) 561 (c) 500 (d) 5
2. Simplify (1 ¾   –  2/3)  x  2 2/5 (a) 11/5 (b) 12/5  (c)  13/5  (c)  14/5
3. Covert 2 4/5 to decimal fraction and give your answer to 1 significant figure (a) 2.5 (b) 3.5  (c) 3  (d) 11
4. What is the value of the Roman numeral MMXVII? (a) 200017 (b)  20017 (c) 2017 (d) 217
5. Express 48 as a product of its prime factors in index form (a) 24 x 30  (b) 22  x 22 x 3 (c) 24 x 3 (d) 23 x 32
6. A line that divides a circle into two equal parts is known as (a) chord (b) Diameter (c) Radius (d) Segment
7. Simplify 110110two  – 101101two (a)1001two (b) 1010two (c) 1011two (d) 1101two
8. What is the value of ‘a’ if 12a +3 = 4a – 1? (a) -4 (b) – ½  (c) ½ (d) 8
9. 12.5% of a number is 50, find the number          (a) 20 (b) 30  (c) 40  (d)  50
10. How many vertices has a square – based pyramid? (a) 8 (b) 4 (c) 40 (d) 5
11. Express the number 6.91835 correct to 2 decimal places. (a) 692 (b) 69 (c) 6.92 (d)6.91
12. Find the value of a2b  + ab2 if a = 3 and b = 2    (a) -30 (b) 128       (c) -6 (d) 30
13. Simplify -5 + (-4) – (-2) (a) 7  (b) -1  (c) -11 (d) -7
14. If x/2  +  x/3 = 5, find the value of x (a) 1 (b) 5 (c) 12 (d) 6
15. Find the average of the following: x, 3x, 5x, 2x, x and 6x (a) x (b) 2x (c) 3x (d) 6x
16. Express 120 as a percentage of 75 (a) 180%    (b) 80% (c) 67½%
17. A sum of N9,600 is shared among 4 boys in the ratio of 4:3:2:1. Find how the boy with the largest share will get (a) N2,880 (b) N1,920 (c) N3,840 (d) 4,960
18. What is the name of a chart of information in the form of circle divided into sector?

(a) Pictogram (b) Pie chart (c) Bar Chart(d) Histogram

1. The area of a square carpet is 121m2, find its perimeter. (a) 11m (b) 22m (c) 44m (d) 242m
2. Arrange the following fractions in ascending order: 5/9, ½, 7/12 (a) ½, 5/9. 7/12 (b) ½, 7/12, 5/9 (c) 5/9, ½, 7/12 (d) 7/12, ½, 5/9
3. Find the area of the triangle of height 8cm and standing on a base of 9cm. (a) 72cm2 (b) 54cm2 (c) 36cm2 (d) 27cm2
4. What is the place value of 2 in 0.3423 (a)millionths (b) tenths (c) hundredths (d) thousandths
5. Express 42/70 on its lowest term (a) 2/5 (b) 3/5 (c) 21/35 (d) 4/7
6. How many vertices does a cuboid have? (a) 12 (b) 8 (c) 6 (d) 10
7. What is the coefficient of y in (-y/7) ? (a) 2/7 (b) 1/7 (c) y/7 (d) -1/7
8. In 12days, a well was dig by 4 men. How many days will the same well be dig by 16 men?           (a) 16 days (b) 12 days (c) 3 days (d) 4 days
9. Calculate the simple interest on for  N480 for 3 years at 7½% per annum. (a) 124.00 (b) 112.00 (c) 108.00 (d) N96.00
10. Find the HCF of 48, 60 and 72 (a) 12 (b) 16 (c) 24 (d) 72
11. Calculate the value of ‘h’ in the figure above. If the area is 86cm2 (a) 5cm (b) 10 ½ cm (c) 8cm (d) 12cm

8cm

h                13

13cm

• Write in figures: two billion, nine million, three thousand and nine hundred. (a) 209, 033, 900 (b) 2,009, 003, 900 (c) 2,090, 003, 900 (d) 2,900, 300, 900.
• What is the mean of these number: 3, 2, 5, 3, 3, 6, 8, 2,? (a) 4 (b) 32 (c) 8  (d)  6
• If today is Monday, what day of the week will it be in 56 day’s time? (a) Monday (b) Sunday (c) Tuesday (d) Friday
• What is the medium score? (a) 54 (b) 55 (c) 58 (d) 59
• What is the model score? (a) 40 (c) 44 (c) 80 (d) 65
• Find the seventh common multiple of 2, 3 and 5. (a) 120 (b) 30 (c) 210 (d) 200
• Find the value of x in the diagram below (a) 150 (b) 200 (c) 600 (d) 300

450

)(x + 300)                        (x + 450)(

• Find the value of k in the diagram below          (a) 200 (b) 1200 (c) 300 (d) 35

4k0

600(        ) 2k0

• Find the circumference of a circle of radius 14cm (Take ^ = 22/7) (a) 88cm (b) 132cm (c)14cm (d) 22cm
• The volume of a cuboid is 1920cm3. If the base of length 6cm and breadth 4cm respectively, find the height (a) 12cm (b) 24cm (c) 80cm (d) 8cm
• Find the perimeter of the figure below
• 22cm  +  Xcm  (b) 20cm  (c) 18cm                        (d) 15cm + Xcm

P

5cm                              Xcm

Q                                           R

3cm                                                  3cm

S             2cm         T

SECTION B: THEORY

(Attempt all the questions in this section. The neatness and orderliness will be rewarded)

ANSWER ALL THE QUESTIONS IN THIS PART AND SHOW YOUR WORKING CLEARLY.

1.  (a) A girl spends  of her pocket money on Monday and on Wednesday. What fraction of her money is left?

(b) Simplify the following: (i)                    (ii) 3x + 4y – 6 – 3y + 11

•  (a)(i) Convert 11012 to base ten (ii)  1110two  x 101two

(b)  A rectangle has a perimeter of 74m and its length is 25m, find the breadth of the rectangle.

H             min        sec

2              12           48

55           22

(ii) Find the sum of #1.62, #2.52 and #3. 42

(b) Solve the following equations: (i)  = 5

(ii) 5x – 6 = 29

• (a) What is the place value of 7 in the following:

(i) 876   (ii) 73.4          (iii)3.745  (iv) 0.976

(b) Express 48 as product of its prime factors

(c)(i) Simplify 549.3 + 9.81 + 2.765     (ii) Calculate the value of 0.25 x 0.009

• (a) Find the LCM of  8, 12, 15

(b) Find the HCF of 10, 20, 30

(c) Find the value of -4 + 9 -7