Modul Matematik Tingkatan 4-Salinan Pelajar

Latihan Ulangkaji Matematik Tingkatan: 4 _______________________________________________________________________ _ 1. x² + y² – (2x – y)² =

2.

Express

m m2 − 4 − as a single 3 6m

8.

fraction in its simplest form.

9.

3.

Given that h- k(4 + h) = k,express h in terms of k.

10.

4.

Given that p = 2 + q , then q =

1 −q

Given that 5(2q – 7) – (3 – 4q) = 4,then the value of q

Find the solution of the inequality 5 – h ≤ 2.

Find all the integers x that satisfy both the inequalities x < 7 and 13 – 4x ≤ -3 .

11. 4p – 5q = 23 2p + 3q = -5 The possible solution for the simultaneous equations above is

−3

5.

5

6.

Simplify ( n 3 ) ÷ n 7 =

7.

Given that 2h = h + 3,then h =

=

5

12. 3m – 2n = 5 4m = n The value of n for the simultaneous equations above is

19. 13. Simplify

A coin is tossed, The sample space is

(x – y)² + (x + y)(y – x)

20. A dice is thrown.The event of getting a prime number is 14. Factorise 9x² - 4y²

21. The number of significant figures of 0.045 15. Express 26 in standard form.

16. 3.7 x 10

5

+ 67000 =

22. The diagram below is a pie chart which shows the number of pupils who passed and failed in a Mathematics test.

Fail 17. The diagram below shows a straight line line PQ on the Cartesian Plane. The y-intercept is 7

P

Pass The number of pupils who failed the test is 10. Find the number of pupils who passed the test.

Q F 5

18. Find the gradient of the straight line Which passes through (1,5) and (-3,4).

23. The table below shows the frequency distribution of the scores obtained by a group of 20 pupils in a quiz. Score

0 1 2 2 6 4 Find the mean score Frequency

3 8

25. Factorise the following a) x² + x – 12 =

b) 2x² – 13x + 6 =

27. The Venn diagrams in the answer space shows the universal set ξ = A U B U C on the diagram, shade the region which represents ( a ) Set A U C’

A

B

C ( b ) Set ( A ∩ C ) U B A

B

C

29. Diagram 1 shows three triangles ABC, DEF and GHJ on a Cartesian plane.

Diagram 1 (a)

 4    − 6 

Transformation Q is a translation 

Transformation T is a reflection in the y- axis Transformation R is a reflection in the line y = 2 State the coordinates of the image of (i) Point F under transformation Q (ii) Point E under combined transformation RQ (iii) Point D under combined transformation TR