There are 41 questions in the Mathematics Test.
Total time: 45 minutes
MATHEMATICS
1.
All your answers should be written on the Answer sheet.
The length and width of cube A are 5 cm and 3 cm
respectively. The surface area of cube A is 94 cm2.
The cube B is three times as high as cube A. What is
the height of cube B?
A
B
A. 9
B. 12
C. 15
D. 20
E. 60
2.
3.
Sally sends out 75 invitations to her party. Three
fifths of the guests are girls. Four of the boys cannot
come to the party. How many boys will attend?
A.
45
B.
30
C.
41
D.
26
E.
71
Write 2.998 to three significant figures?
A. 2.99
B. 3.00
C. 2.998
D. 3.10
E. 2.90
4. The elder sister is five years older than the younger
brother. The younger brother is x years old. Write
down the sister’s age.
1/9
A.
𝑥+5
B.
𝑥−5
C.
A.
B.
5
D.
2𝑥
E.
10
2
3
2
3
5
< 60% < 6 < 0.78
5
< 60% < 0.78 < 6
C. 60% <
D. 0.78 <
5. The scale drawing shows the position of two
villages, A and B. Measure the bearing of B
from A.
E.
2
3
2
< 0.78 <
3
2
3
< 60% <
< 0.78 < 60% <
8. Calculate
5
6
5
6
5
6
√16
?
3−1
A. 12
B.
4
3
C. 24
D. 6
30°
E.
8
3
9. Solve the simultaneous equations.
A. 30
2𝑥 − 𝑦 = 7
B. 120
3𝑥 + 𝑦 = 3
C. 160
A. 𝑥 = 2, 𝑦 = −4
D. 320
B. 𝑥 = 1, 𝑦 = 0
E. 330
6.
Which statement is correct about
C? ( 𝑑 =
C. 𝑥 = 1, 𝑦 = −5
𝑑𝑖𝑎𝑚𝑒𝑡𝑒𝑟, 𝑟 = 𝑟𝑎𝑑𝑖𝑢𝑚, 𝐶 = 𝑐𝑖𝑟𝑐𝑢𝑚𝑓𝑒𝑟𝑒𝑛𝑐𝑒)
D. 𝑥 = 2, 𝑦 = −3
A. 𝐶 ≈ 2𝑑
E. 𝑥 = 4, 𝑦 = 1
B. 𝐶 = 𝜋𝑑
10. After training, the shirts are washed. There are 3
red, 2 blue and 5 green shirts. One shirt is taken
from the washing machine at random. Find the
probability that it is blue or green.
C. 𝐶 = 3𝑑
D. 𝐶 ≈ 3𝑟
A. 0.3
E. 𝐶 ≈ 𝑑
7. Write the following numbers in order, starting with
the smallest.
2
3
5
, 60%, 6, 0.78 Which one is correct?
B. 0.2
C. 0.8
D. 0.5
2/9
E. 0.7
11. Five children collect money to plant trees. Here is a
bar chart of the amount they have raised so far:
14. In the following diagram, a straight line intersects
two parallel lines. Find the value of x.
A． 52o
B． 118o
Their target is ₤40 altogether. How much more
money do they need to reach the target?
A. 25
B. 20
C. 11
C． 128o
D． 138o
E． 148o
15. A 3-dimensional model which have 9 edges and 5
faces and and 6 vertices. What is the model?
D. 14
A. Quadrangular prism
E. 15
B. Triangular prism
12. A cube has side length of 3 cm. If the cube is
enlarged and has a total surface area of 486cm2,
calculate the scale factor of enlargement.
A. 4
C. Triangular pyramid
D. Cylinder
E. Pentagonal pyramid
16. Many has the following data:
B. 3
k, 8, 5, 7, 11, 26
C. 5
If the mode is 5, which number could k be?
D. 9
A. 5
E. 2
13. (𝑎 − 1)(𝑎 − 2) =
A. 𝑎2 − 3𝑎 + 1
B. 𝑎2 − 3𝑎 − 1
C. 𝑎2 − 3𝑎 + 2
2
D. 𝑎 − 2𝑎 + 2
E. 𝑎2 + 2𝑎 + 2
B. 26
C. 7
D. 11
E. 8
17. The mean of five numbers is 6. Four of the numbers
are 3, 4, 5, and 10. Work out the number that is
missing from the list.
3/9
A. 9
B. 8
C. 7
D. 6
E. 5
18. If 𝑥 + 𝑦 > 5, the values of x and y are:
A. 𝑥 = 13, 𝑦 = −8
E.
1
D. 𝑥 = −3, 𝑦 = 9
E. 𝑥 = 1.5, 𝑦 = 3.5
19. Factorise 𝑥 2 − 6
3
A. 6
B.
C.
D.
E.
4
6
8
12
7
12
5
6
23. In the figure below, if triangle ABC is equilateral
and quadrilateral BCDE is a square. Calculate the
value of ∠ACD.
B. 150°
B. (𝑥 − 1)(𝑥 + 5)
C. 160°
C. (𝑥 − 3)(𝑥 + 2)
D. 100°
D. (𝑥 − 2)(𝑥 + 3)
E. 170°
20. The height of the right angle triangle is 5. The base
is 6. What is the hypotenuse?
B.
D. 29.694
C. √11
E.
A. 0.60
B.
0.53
C. 0.78
D. 0.32
D
29.6
Referring to the table below, answer question 25-27:
Weight (kg)
20-30
30-40
40-50
50-60
More than 60
Total
Number
8
12
36
16
8
80
25. What is the modal weight?
A. 20-30
4/9
E
29.7
B. √30
21. Estimate the value of sin32o
C
A. 29.70
C. 29.69
E. √61
B
24. Write 29.694 to three decimal places?
A. √60
D. √59
A
A. 130°
A. (𝑥 − 3)(𝑥 − 3)
E. (𝑥 − √6)(𝑥 + √6)
2
22. Find the fraction that is half-way between 2 and 3
B. 𝑥 = 3.7, 𝑦 = −7.8
C. 𝑥 = 11.5, 𝑦 = −7
1
B. 50-60
29. Find the median of boy’s height?
C. 30-40
A. 171.5
D. 40-50
B. 170
E. More than 60
C. 173
26. How many students whose weights are between 20
kg and 30 kg?
A. 8
D. 171
E. 167
30. How many students in this class are under the height
of 160 cm?
B. 6
C. 12
A. 5
D. 36
B. 6
E. 7
C. 11
27. How many students whose weights are 50 kg?
A. 36
E. Unknown
B. 16
31. A (-2, 0) and B (4, 6) are the endpoints of a line
segment. What is the midpoint M of that line
segment?
C. 26
D. 20
A. (1, 5)
E. Unknown
B. (2. 6)
28. A line passes through the point (2, 5) and (1, 3).
What is its equation?
C. (1, 3)
D. (3, 3)
A. 𝑦 = 3𝑥 − 1
E. 6√2
B. 𝑦 = 3𝑥 + 1
32. Solve the equation 8𝑥 + 9 = 3(𝑥 + 8)
C. 𝑦 = 2𝑥 + 1
A. 3
D. 𝑦 = −2𝑥 + 1
B. 4
E. 𝑦 = 2𝑥 − 1
There are 35 students in a certain class, and the stem-leaf
diagram below shows the height of boys and girls.
Referring the figure below, answer question 29-30:
BOY
6
5, 7, 7, 9
3, 5, 7, 7
0, 3, 3, 3, 5, 8, 8
0, 1, 5, 8
D. 22
14
15
16
17
18
GIRL
5, 5
2, 4, 6, 7
1, 2, 4, 4, 4, 4, 8
2, 5
C. 5
D. 6
E. 7
33. What is the name of the
straight line ON?
A. diameter
5/9
B. radius
C. chord
D. arc
E. tangent
37. In a class of 31 students, some study Physics and
some study Chemistry. If 22 study Physics, 20 study
Chemistry and 5 study neither. The results were
placed into the following Venn diagram. According
to the following Venn diagram, find the number of
students taking both Physics and Chemistry.
34. Multiply out the brackets and simplify 3(𝑥 − 2) −
4(2𝑥 − 3)
A. −8𝑥 + 6
x
22-x
20-x
B. −8𝑥 + 12
5
C. 3𝑥 − 6
D. 6𝑥 + 12
E. −5𝑥 + 6
A. 22
B. 20
C. 5
35. Referring to the figure below, the first box contains 1
D. 16
marbles. The second box contains 5 marbles and the
third box contains 9 marbles. If the numbers of
E. 7
marbles in boxes are an arithmetic progression, there
are 91 marbles all together. How many boxes are 38. There are x students in the playground. Half the
students are playing basketball. One-third of the
there in all?
students are playing football. The six remaining
A. 4
students are running. Find the value of x.
B. 5
C. 6
D. 7
E. 8
36. A fruit juice is priced at €6.60 now. If the juice goes
on sale for 20% off the current price, what will be
the price of the juice?
A. 30
B. 32
C. 34
D. 35
E. 36
39. Where is the position of √2?
A. €0.55
B. €1.32
−1
C. €5.28
A. Between -1 and 0
D. €6.36
B. Between 0 and 1
E. €6.40
C. Between 1 and 2
D. Larger than 2
E. Smaller than -1
6/9
0
1
2
n  1;
40.
S1  1
n  2; S2  1  3  4
n  3; S3  1  3  5  9
E. 12
41. 35 = 243, what is 36 ?
Find the value of S6 (when n=6) according to the
A.
246
summations above.
B.
486
A. 16
C.
729
B. 25
D.
732
C. 36
E.
2187
D. 42
End of Mathematics Test
7/9