year 8 mid exam paper 1
DESCRIPTION
for igcseTRANSCRIPT
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MOCK 2 EXAMINATION MATHEMATICS 1
2
212/1/PNCT SMYSHHB
1. Write the correct number to go in each box.
(a) 7.6 + = 7.66
(b) quarter of 48 =
(c) 7 = 49
1
[3]
2. Look at the circular board below. Each section has a number between 1 and 10. Using only the numbers on the board, write down
(a) factors of 20 Answer (a): [1]
(b) highest common factor of 8 and 16
Answer (b): [1]
(c) odd composite number Answer (c): [1]
3. (a) Find the value of
(i) 94
12
Answer (a)(i): [1]
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MOCK 2 EXAMINATION MATHEMATICS 1
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212/1/PNCT SMYSHHB
(ii) 10 + 6(-3) 10 =
Answer (a)(ii): [1] (b) (i) Express 2 3 2 2 3 5 5 5 7 in index notation.
Answer (b)(i): [1] (ii) Express 320 as a product of prime factor.
Answer (b)(ii): [1]
4. Here are five numbers written in standard form. 1.75 102 7.03 103 6.11 10-1 8.78 100 9.09 10-2
(a) Write down the smallest number.
Answer (a): [1]
(b) List the number in descending order.
Answer (b): , , , , [2]
5. (a) Simplify 15xy 4 8xy + 6
Answer (a): [1] (b) Factorize completely 3ce 6de + cf 2df
Answer (b): [2]
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MOCK 2 EXAMINATION MATHEMATICS 1
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212/1/PNCT SMYSHHB
(c) Expand (6 + x)(6 x)
Answer (c): [2] (d) Solve for x 3x 7 = 15
Answer (d): x = [2]
6. (a) State the formula for finding the area of trapezium.
Answer (a): Area of trapezium = [1]
(b) Hence, find the area of the trapezium IJKL.
Answer (b): cm2 [2]
7. Express
(a) 1.0673 to 2 decimal places Answer (a): [1]
(b) 54 139 to 3 significant figures
Answer (b): [1]
5 cm
10 cm
6 cm
I J
K L
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MOCK 2 EXAMINATION MATHEMATICS 1
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212/1/PNCT SMYSHHB
8. (a) Given that a = 2, b = 3 and c = -1, calculate the value of abc + 4c2
Answer (a): [2] (b) Make z the subject of formula
xzy
2
5
Answer (b): [2]
9. (a) Express 25
3as a percentage.
Answer (a): % [1]
(b) Calculate 30% of $270
Answer (b): $ [1]
(c) Shade 7
3of the smiley face.
[1]
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MOCK 2 EXAMINATION MATHEMATICS 1
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212/1/PNCT SMYSHHB
10. In the space provided below, construct triangle PQR such that PQ = 6 cm, QR = 3 cm and PR = 5 cm.
[3]
(a) From the construction above, measure PQR
Answer (a): [1]
(b) Bisect the angle QRP [1]
11. (a) Calculate the value of
4
1
4
3
4
3
4
3
Answer (a): [2] (b) Estimate 34.5 8.5
Answer (b): [1] (c) Express as a ratio in its simplest form: 1 h 25 min to 55 min.
Answer (c): : [2]
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MOCK 2 EXAMINATION MATHEMATICS 1
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212/1/PNCT SMYSHHB
12. Plot the points A (-3, -1), B (6, 2), C (7, 5), D (-2, 2) on the graph provided below and join the dots to form a shape.
(a) What is the special name for the shape?
Answer (a): [1] (b) Find the gradient of the line
(i) AB
Answer (b)(i): [1]
(ii) BC
Answer (b)(ii): [1] (c) Hence, form the equation of the line
(i) AB
Answer (c)(i): [2]
(ii) BC
Answer (c)(ii): [2]
y
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MOCK 2 EXAMINATION MATHEMATICS 1
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212/1/PNCT SMYSHHB
13. In the diagram below, AOB and COD are straight lines intersecting at a point O.
(a) Find the value of:
(i) x
Answer (a)(i): [2]
(ii) y
Answer (a)(ii): [2]
14. The figure below shows a right-angled triangle DEF. (a) Find the length of DE
Answer (a): cm [2] (b) Find the ratio of
(i) sin
Answer (b)(i): [1]
A B
C
D E
O 42
x
y 24
D
E F
4 cm
5 cm
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MOCK 2 EXAMINATION MATHEMATICS 1
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212/1/PNCT SMYSHHB
(ii) cos
Answer (b)(ii): [1]
(iii) tan
Answer (b)(iii): [1]
15. The figure below shows two identical squares overlapping at the corners. The area of the corners
being overlapped, IFCJ is 100 cm2; length of EI, IF, AI, IC, CJ, FJ and JD are the same. Find the area of the whole figure.
Answer: cm2 [2]
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END OF PAPER
TOTAL MARKS
100 cm2
A B
C D
E F
G H
I
J