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Worksheets

LOGICAL REASONING

Total questions: 20

Worksheet time: 15mins

Name
Class
Date
1.
Which statement is a good definition of a rectangle?
a)
A rectangle is a shape with four sides.
b)
A rectangle is a shape with two pairs of parallel sides.
c)
A rectangle is a quadrilateral with four congruent angles.
d)
A rectangle is a parallelogram with four congruent sides.
2.

Determine which one is a statement.

a)

3m x 2m = 6m

b)

A prime number has 2 factors.

c)

χ + γ

d)

Express 2300 in standard form.

e)

χ + 2 = 3

3.

All integers are positive intigers.

a)

no

b)

not

4.

_________ factors of are factors of 6

a)

All

b)

Some

5.

state whether the following statement is true or false.


All polygons have five sides.

a)

True

b)

False

6.

complete the following compound statement by writing the word 'or' or 'and' to form a true statement.


42 = 8 [__] 7 x 0 = 0

a)

Or

b)

And

7.

complete the following statement using the quantifier 'all' or 'some', to make it a true statement.


......... integers are even number.

a)

All

b)

Some

8.

Determine whether the sentence below is a statement or not a statement.

 "x+3=5""x+3=5"  

a)

Yes

b)

No

9.

 "{2,5,7}{prime numbers}={2,5,7}"\left\{2,5,7\right\}\cup\left\{prime\ numbers\right\}=\left\{2,5,7\right\}  Determine whether the statement is true or false.

a)

True

b)

False

10.

_________ circles has a radius of 18cm.

a)

All

b)

Some

11.

Determine the truth value of the statement:

"Not all multiples of 10 are multiples of 2."

a)

True

b)

False

12.

Determine whether this sentence is a statement or not. If yes, determine its truth value.

"Perak is located in Malaysia."

a)

Not a statement.

b)

Statement. False.

c)

Statement. True.

13.

Which statement below is general?

a)

14 is divisible by 7.

b)

Rhombus is a quadrilateral.

c)

All quadrilateral have four sides.

d)

The area of square is 8 mm28\ mm^2 .

14.

Determine which one is a statement.

a)

3m x 2m = 6m

b)

A prime number has 2 factors.

c)

χ + γ

d)

Express 2300 in standard form.

e)

χ + 2 = 3

15.

Which sentence is a statement?

a)

What is the meaning of factor?

b)

Go and brush your teeth.

c)

Good morning!

d)

The highest common factor of 21 and 28 is 7.

16.

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, x>1.If\ x>3,\ x>1.

17.

Which of the following statement is true?
I Some quadratic equations have two roots.
II 0.25×1040.25\times10^4  is a number in standard form.

III  ϕ is a subset of MN.\phi\ is\ a\ subset\ of\ M\cap N.  

a)

I only

b)

I and II only

c)

I and III only

d)

II and III only

18.

Choose the correct statement.

a)

32=9 or 5<4.3^2=9\ or\ 5<4.

b)

5212=42 or 3222=45^2-1^2=4^2\ or\ 3^2-2^2=4

c)

Some of the complete squares are odd numbers.

d)

5232=42 and 2212=125^2-3^2=4^2\ and\ 2^2-1^2=1^2

19.

Which of the following are statements?
 a+b=5a+b=5 

II  4>64>6 

III  a(a+2)=a2+2a.a\left(a+2\right)=a^2+2a.  

a)

I and II only

b)

I and III only

c)

II and III only

d)

I, II and III only

20.

Which of the following statements is true?

a)

BBB\subset B and ϕ B\phi\ \subset\ B

b)

2 { }2\ \in\ \left\{\ \ \right\} and 3 {2,3}3\ \in\ \left\{2,3\right\}

c)

m×m=2mm\times m=2m or 2×13=2132\times\frac{1}{3}=2\frac{1}{3}

d)

2x+1=2(x+1)2x+1=2\left(x+1\right) or 2x+52=x+5\frac{2x+5}{2}=x+5