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Quiz Chapter 3 & 4 Form 4 Mathematics KSSM

Total questions: 25

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Which of the following are statements.

a)

3m ×2m=6m3m\ \times2m=6m

b)

A prime number has 2 factors.

c)

x + yx\ +\ y

d)

Express 2300 in standard form.

e)

x+2=3x+2=3

2.

Which statement is false?

a)

Some quadratic function graphs intersect the x-axis.

b)

Bougainvillea is the national flower of Malaysia and Kuching is the capital of Sarawak.

c)

Hibiscus is the national flower of Malaysia or Rafflesia is the biggest flower in Malaysia.

d)

If x > 3, then x > 1.

3.

If p and q are both false statements respectively, then

a)

not p and not q is a true statement.

b)

p and q is a true statement.

c)

not p and q is a true statement.

d)

not p or q is a false statement.

4.

Complete the premise in the following argument.


Premise 1 : If set P is a subset of set Q, then P ∩ Q = P.

Premise 2 : .........................................................................

Premise 3 : Set P is not a subset f set Q.

a)

P ⋃ Q = Q

b)

P ∩ Q = P

c)

P ∩ Q ≠ P

d)

P ⋃ Q ≠ P

5.

State whether the following statement is true or false :


All polygons have five sides.

a)

True

b)

False

6.

Determine the antecedent and consequent of the following implication :


If k = −4, then k³ = −64.

a)

Antecedent : k ≠ −4

Consequent : k³ ≠ −64

b)

Antecedent : k ≠ −64

Consequent : k³ ≠ −4

c)

Antecedent : k = −64

Consequent : k³ = −4

d)

Antecedent : k = −4

Consequent : k³ = −64

7.

Which of the following implications is true?

a)

If M ∩ N = { }, then M = { }.

b)

If a > −3, then a² > 9.

c)

If a < 0, then a² < 0.

d)

If n = −2, then n² + 2n = 0.

8.

Choose two implications based on the following statement.


y > 3 if and only if 2y > 6

a)

If y > 3, then 2y > 6

b)

If y < 6 , then 2y > 6

c)

If 2y > 6, then y > 3

d)

If 2y > 6, then y < 6

9.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the converse of this statement?

a)

If a polygon is not a quadrilateral, then it is not a trapezoid.

b)

If a polygon is not a trapezoid, then it is not a quadrilateral.

c)

If a polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

10.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the inverse of this statement?

a)

If the polygon is not a quadrilateral, then it is not a trapezoid.

b)

If the polygon is not a trapezoid, then it is not a quadrilateral.

c)

If the polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

11.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the contrapositive of this statement?

a)

If a polygon is a trapezoid, then it is a quadrilateral.

b)

If a polygon is not a quadrilateral, then it is not a trapezoid.

c)

If a polygon is not a trapezoid, then it is not a quadrilateral.

d)

A rectangle is also a quadrilateral.

12.

Determine the validity and soundness of the following deductive arguments :


Premise 1 : All prime numbers are odd numbers.

Premise 2 : 5 is a prime number.

Conclusion : 5 is an odd number.

a)

Valid and sound.

b)

Valid but not sound.

c)

Not valid but sound.

d)

Not valid and not sound.

13.

Which of the following statements are true for the Venn diagram shown?

a)

A ∩ B = ⊘

b)

A ⋃ B = ⊘

c)

A ⋃ B = A

d)

A ⋂ B = A

14.

Let C = {2, 5, 7, 10} and B = {2, 4, 6, 8}. Find C U B.

a)

{2, 4, 6, 8, 10}

b)

{2, 4, 5, 6, 7, 8,10}

c)

{2, 2, 4, 5, 6, 7, 8, 10}

15.

Let C = {2, 5, 7, 10} and B = {1, 3, 5, 7, 9}. Find C ∩ B.

a)

{1, 2, 3, 5, 7, 9, 10}

b)

{2, 4, 5, 6, 7, 8, 10}

c)

{5, 7}

16.

If A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} and C = {3, 5, 6, 7, 8, 9}, what is (A ⋃ B) ⋂ C?

a)

{3, 4, 5, 6, 7, 9}

b)

{3, 4, 5, 6, 7, 8, 9}

c)

{3, 5, 6, 7, 9}

d)

{ }

17.

 (A∩B)′\left(A\cap B\right)'  

a)

{2, 6}

b)

{5, 7}

c)

{1, 3, 4, 8}

d)

{1, 3, 4, 5, 7, 8}

18.

If P = {0, 1, 2, 3, 4}, Q = {4, 6, 8} and R = {6, 12, 18}, then what is (P ∩ Q) ∪ R?

a)

{4}

b)

{4, 6}

c)

{4, 6, 8}

d)

{4, 6, 12, 18}

19.

Determine n(W ⋃ C)'.

a)

6

b)

15

c)

21

d)

44

20.

Which of the following operations on sets describe the given Venn diagram?

a)

A ∩ BA\ \cap\ B

b)

 A ∩ B′A\ \cap\ B' 

c)

A′ ∪ B′A'\ \cup\ B'

d)

A ∪ BA\ \cup\ B

21.

Which of the following operations on sets describe the given Venn diagram?

a)

A′A'

b)

B′B'

c)

A − BA\ -\ B

d)

A ∩ BA\ \cap\ B

22.

The diagram shows a Venn diagram with the universal set,  ξ=A∪B∪C.\xi=A\cup B\cup C.  
List all the elements of set  (A∩B) ′.\left(A\cap B\right)\ '.  

a)

{r, s}

b)

{q, r}

c)

{p, t}

d)

{p, q, t}

23.

Given
 ξ=A∪B∪C\xi=A\cup B\cup C 
  A = {1, 2, 3, 4}
  B = {4, 5}
  C = {3, 4, 5, 6, 7}  
Which of the following Venn diagram best describes the above information?

a)
b)
c)
d)
24.

The diagram is a Venn diagram showing the number of elements in sets P, Q and R such that the universal set, ξ = P ∪ Q ∪ R.

a)

2

b)

3

c)

4

d)

5

25.

The diagram is a Venn diagram showing the universal set, ξ, set L, set M and set N.


Which of the following sets represents the shaded region?

a)

(M ∪ N') ∩ L'

b)

(M ∪ N) ∩ L'

c)

(M ∩ N') ∩ L'

d)

(M ∩ N) ∩ L'