This document provides a summary of key concepts in mathematics form 4, including: 1) Rounding numbers and expressing them in scientific notation. 2) Performing calculations with scientific notation numbers, such as addition/subtraction. 3) Factoring expressions and solving quadratic equations. 4) Calculating gradients of lines from graphs. 5) Working with sets, subsets, and Venn diagrams.

1. _________________________________________________________ Mathematics Form 4
1. Round off 506 976 correct to
three significant figures. 0.084
10. =
A. 506 000 C. 560 000 600000
B. 507 000 D. 570 000 A. 1.4 × 10 −7 C. 14 × 10 −7
B. 1.4 × 10 −6 D. 14 × 10 −6
2. Round off 0.05057 correct to two
significant figures.
A. 0.05 C. 0.051 11. (2e + 3)(h − 1) + (e − 1)(h − 2) =
B. 0.050 D. 0.0510 A. 3eh − 4h + 5
B. 3eh + 4h − 5
3. Express 0.0001904 in standard C. 3eh − 4e + 2h − 1
form. D. 3eh − 4e − 2h + 1
A. 1.904 × 10 −4 C.
−7 12. 5m( 2 − m) =
1.904 × 10
B. 1.904 × 10 4 D. 1.904 × 10 7 A. m − 5m 2 C. m 2 − 5m
B. 10m − 5m 2 D. 10m 2 − 5
4. 6.54 × 10 −8 − 1.9 × 10 −9 =
A. 6.35 × 10 −8 C. 4.64 × 10 −8 13. Factorise 12 y 2 − 8 y .
B. 6.35 × 10 −9 D. 4.64 × 10 −9 A. 2 y (6 y − 4)
B. 4 y (3 y − 2)
5. 0.0063 − 7 × 10 −5 = C. y (12 y − 8)
A. 5.6 × 10 −3 C. 6.23 × 10 −3 D. 4(3 y − 2)
B. 5.6 × 10 −4 D. 6.23 × 10 −5
17. The roots of quadratic equation
6. Round off 70 842 correct to three ( x − 3) 2 = 16 are
significant figures. A. -7 or 1 C. -4 or 3
A. 708 C. 70 800 B. -1 or 7 D. -3 or 4
B. 710 D. 70 840
15. (2k − 3) 2 =
7. Find the value of
A. 4k 2 − k − 3
(2 − 0.296) ÷ 30 , and round off
B. 4k 2 − 6k + 9
the answer correct to two
significant figures. C. 4k 2 − 12k + 9
A. 0.05 C. 0.056 D. 4k 2 − 24k − 3
B. 0.06 D. 0.057
16. (1 + 2 w)(4 − w) =
8. Express 4.063 × 10 as a single
4
A. 4 + 7 w − 2 w 2
number. B. 4 + 5w − 2w 2
A. 4 063 C. 4 063 000 C. 4 − 3w − 2 w 2
B. 40 630 D. 40 630 000 D. 4 − w − 2w 2
9. Express 4 730 000 in standard form.
17. If E is a set of letters {T,O,W,E,L,S}
A. 4.73 × 10 5 C. 473× 10 5 and F is a subset of consonants to set
B. 4.73 × 10 6 D. 473× 10 6 E. The set F is
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2. _________________________________________________________ Mathematics Form 4
A. {O,E} C. {T,W,L,S} A. {z}
B.{O,E,S} D. B. {w, t}
{T,O,W,E,L} C. {w, t, z}
D. {w, t, x, y, z}
18. List all of the subsets of set
P={r,s,t}. 21. In the diagram, RS is a straight
A.{r}, {s}, {t} line on a Cartesian plane.
B.{ }, {r}, {s}, {t} y
C.{r}, {s}, {t}, {r, s}, {r, t},
{s, t},{r, s, t} S (8, 5)
D.{ }, {r}, {s}, {t}, {r, s}, {r, t},
{s, t},{r, s, t}
19. Diagram below is a Venn
diagram that shows the universal R(-2, 3) x
set, ξ , set P and set Q. 0
ξ Find the gradient of RS.
P Q 1
A. 5 C.
3
1
B. 3 D.
5
22. The coordinates of point M(-1, 2)
and the gradient of the straight
The shaded region in the Venn
line MN is 3. The possible
diagram represented the set
coordinates of N are
A. P ′ ∩ Q ′ C. P ∩ Q ′ C. (2, 3) C. (4, 7)
B. P ′ ∩ Q D. P ∩ Q D. (2, 11) D. (4, 11)
20. The diagram shows the elements 23. In the diagram, the gradient of
of the universal set, ξ , set G and MN = -3 and LM = 15 units.
set H. y
ξ M
G H
•w N(2, 3)
•x
•u
•y
•v •t
0 x
L
•z
Find the x-intercept of LM.
A. -12 C. 9
B. -9 D. 12
List all the elements of set G’.
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3. _________________________________________________________ Mathematics Form 4
24. State the x-intercept of the A. x > y
straight line 3 x − 4 y + 24 = 0 . B. 2 x > 2 y
A. -8 C. 6 C. If x > y , then 2 x > 2 y .
B. -6 D. 8 D. x > y if and only if 2 x > 2 y .
25. Find the y-intercept of the 30. Table below shows the sales of
straight line 5 x − 3 y = 15 . four types of gifts.
5
A. -5 C.
3 Gifts Flower Toys Books Pens
5 s
B. − D. 3 Frequency 18 10 5 x
3
Given that the mode of the gifts is
26. In the diagram below, PQ is a
flowers, find the maximum value of
straight line.
x.
y A. 16 C. 18
B. 17 D. 19
6 S
Question 31 and 32 are based on the
table below.
31. Table below is a frequency table
P
which shows the score of 30
x
-3 0
students in a quiz.
Score 0 1 2 3 4
What is the gradient of PQ? Frequency 3 8 7 7 5
1 Frequency 0 8 14 21 20
A. -2 C. x Score
2
1
B. − D. 2 The mean score of students in the
2
quiz is
A. 2.10 C. 5.97
27. Which of the following is a non-
B. 2.33 D. 6.30
statement?
A. 72 + 33 C. -5 > -2
32. The mode of the score is
B. 5 < 8 D. 2 + 9 > 8
A. 1 C. 4
B. 3 D. 7
28. If p = 3 , then 2 p − 3 = 3 . State
the antecedent of the implication 33. The range of the data {19, 28, 24,
above. 20, 23, 36, 32} is
A. p = 3 C. 2 p = 3 + 3 A. 13 C. 24
B. 2 p − 3 D. 2 p − 3 = 3 B. 17 D. 36
29. Determine the converse of the 34. The upper boundary of the class
implication “If 2 x > 2 y , then interval 4.0 – 4.9 is
x > y .” A. 4.00 C. 4.90
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4. _________________________________________________________ Mathematics Form 4
B. 4.05 D. 4.95
Question 38, 39 and 40 are based on
Table below.
Mark Frequency
61 - 70 10 The table below shows the marks
71 - 80 16 obtained by students in their final exam.
81 - 90 2 38. The lower boundary for the class
91 - 100 2 61 – 70 is
35. State the mid-point of the class 9 -14. A. 60.5 C. 61
A. 9.5 C. 11.5 B. 60.9 D. 70.5
B. 10.5 D. 12.5
39. The upper boundary for the class
36. The histogram below shows the 81 – 90 is
distribution of daily incomes for a A. 80 C. 90
group of factory workers. B. 81.5 D. 90.5
40. Calculate the number of students that
sit for the exam
A. 10 C. 26
B. 16 D. 30
- END OF QUESTIONS -
The number of workers who earn
more than RM30 per day?
A. 45 C. 70
B. 50 D. 90
37. The ogive below shows the weight,
in kg, students of 5 Science A.
The median weight is
A. 40 kg C. 50.5
B. 40.5 kg D. 60.5
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