Ujian Setara Form 1 2017.docx

Standardized Test 1 2017 MRSM Arau

Mathematics Form 1

Answer all questions. Question 1 a. List the elements in the following sets by using set-builder notation. (3 marks) i.

P is a set of vowels in the word ‘LEADERSHIP’ Answer:

ii.

Q = { factors of 16 } Answer:

iii.

R = { x : x is a even number and a prime number} Answer:

b. State whether each of the following is TRUE or FALSE. (3 marks) Statement

Answer

i.

White ∈ {colours of Jalur Gemilang}

ii.

A = { 2, 3, 5, 7, 9 } , n(A) = 5

iii.

12 ∉ {multiples of 4}

c. i. Given 𝜉 = { 3, 4, 5, 6, 7, 8, 9, 10 }, find the complement of set 𝑀 = { 4, 7, 3, 10 } Answer: (1 mark)

ii. Given 𝑃 = { 7, 9, 𝑥, 10, 4, 11, 15, 3} and 𝑅 = { 3, 9, 11, 𝑦, 7, 6, 15, 4 } are two equivalent sets. Find the value of 𝑥 − 𝑦. Answer: (3 marks)

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Standardized Test 1 2017 MRSM Arau

Mathematics Form 1

Question 2 a. The Venn diagram shows the elements of sets 𝜉, 𝐴, 𝑎𝑛𝑑 𝐵. 𝜉 •19

A •3

•13

•2

•11

•13

•31 •5

•17

B

•7 •23

(3 marks)

ii.

Questions List elements of set 𝐴′ A⊂B

iii.

𝑛(𝐵 ′ )

i.

Answer

Circle you answer:

Yes / No

b. Given 𝜉 = {𝑥: 𝑥 𝑖𝑠 𝑎𝑛 𝑖𝑛𝑡𝑒𝑔𝑒𝑟 𝑎𝑛𝑑 1 ≤ 𝑥 < 10} 𝑎𝑛𝑑 𝐵 = {7, 2, 5}. Find 𝐵′. Draw a Venn Diagram to represent the relation between sets B, B’ and the universal set. (3 marks) Answer:

c. Given 𝜉 = {𝑥: 𝑥 𝑖𝑠 𝑎𝑛 𝑖𝑛𝑡𝑒𝑔𝑒𝑟 𝑎𝑛𝑑 1 ≤ 𝑥 ≤ 15} 𝑀 = {𝑚𝑢𝑙𝑡𝑖𝑝𝑙𝑒𝑠 𝑜𝑓 2} 𝑁 = {𝑓𝑎𝑐𝑡𝑜𝑟𝑠 𝑜𝑓 18} 𝑄 = {𝑓𝑎𝑐𝑡𝑜𝑟𝑠 𝑜𝑓 15} Draw a Venn diagram to represent the relations between set 𝜉, 𝑀, 𝑁 𝑎𝑛𝑑 𝑄. (4 marks) Answer:

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Standardized Test 1 2017 MRSM Arau

Mathematics Form 1

Question 3 a. In the diagram, KLM is a straight line. M 13 cm L

J 12 cm 20 cm

K

Determine if the statement is True of False base in the triangle shown. i.

ML = 5 cm

ii.

The hypothenuse of the triangle JLM is 5 cm.

iii.

202 – 122 = 82

iv.

KM = 21 CM

(4 marks)

b. The diagram shows the shape of a piece of cardboard ABC. Prove that the cardboard is a right-angled triangle. (2 marks) Answer: A 2.4 m 0.7 m B 2.5 m

C

c. Determine whether the following given length of sides triangles are right-angled, obtuse-angled or acute-angled triangles. (4 marks) i. 8 cm, 15 cm, 17 cm ii. 12 cm, 14 cm, 18 cm

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Standardized Test 1 2017 MRSM Arau

Mathematics Form 1

Question 4 a. Find the missing length of these right-angled triangles. Give your answers to 2 decimal point where necessary. (6 marks) Solution i. x 9 cm 12 cm ii. 3.4 cm

y

7.5 cm

iii.

√625cm 24 cm

z b.

The diagram shows a rectangle.

Calculate the perimeter, in cm, of the shaded region. (4 marks) Answer:

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