Free Printable Math and Logic Worksheet

1.

If 2★3 = 13, 3★4 = 25, 4★5 = 41, then 5★6 = ?

a)

55

b)

61

c)

65

d)

71

2.

Which number completes the series? 1, 4, 9, 16, 25, 36, ___

a)

42

b)

45

c)

49

d)

56

3.

If A = 1, B = 2, … Z = 26, what is the value of KNOWLEDGE?

a)

85

b)

92

c)

96

d)

100

4.

Which number does not belong? 2, 6, 12, 20, 30, 42, 56

a)

6

b)

20

c)

30

d)

56

5.

If the average of five consecutive odd numbers is 27, what is the largest number?

a)

29

b)

31

c)

33

d)

35

6.

A number when divided by 7 gives remainder 3. What remainder will twice the number give when divided by 7?

a)

1

b)

3

c)

6

d)

0

7.

Which comes next? 3, 6, 11, 18, 27, ___

a)

36

b)

38

c)

39

d)

40

8.

If x + y = 10 and x² + y² = 58, then x·y = ?

a)

18

b)

21

c)

22

d)

24

9.

Which number is missing?

a)

10

b)

20

c)

25

d)

30

10.

If 15% of x equals 45% of y, then x : y = ?

a)

1 : 3

b)

3 : 1

c)

5 : 3

d)

3 : 5

11.

Which number is a prime?

a)

91

b)

87

c)

89

d)

93

12.

If 3x - 7 = 11, then x = ?

a)

4

b)

5

c)

6

d)

7

13.

What is the next term?

a)

25

b)

31

c)

33

d)

35

14.

Which number is missing? 1, 1, 2, 6, 24, ___

a)

60

b)

96

c)

120

d)

144

15.

A number is increased by 20% and then decreased by 20%. Net result is:

a)

No change

b)

Increase

c)

Decrease

d)

Doubled

16.

Which is not a perfect square?

a)

144

b)

169

c)

196

d)

200

17.

What is the value of (2³ × 5)?

a)

100

b)

150

c)

200

d)

250

18.

Find the odd one out: 16, 25, 36, 49, 63

a)

16

b)

36

c)

49

d)

63

19.

If 4x = 2y and y = 10, x = ?

a)

2

b)

5

c)

10

d)

20

20.

Which is the next number? 1, 4, 27, 256, ___

a)

3125

b)

4096

c)

625

d)

729

21.

Q21. Which fraction is largest?

a)

1/2

b)

1/3

c)

1/4

d)

1/5

22.

A number is divisible by both 6 and 8. The smallest such number is:

a)

12

b)

18

c)

24

d)

48

23.

Which number has exactly 3 factors?

a)

9

b)

8

c)

10

d)

12

24.

What is the sum of first 20 natural numbers?

a)

200

b)

210

c)

220

d)

400

25.

If log₁₀ 1000 = ?

a)

2

b)

3

c)

4

d)

10

26.

A cube has all faces painted red and is cut into 27 cubes. How many of the smaller cubes have no red face?

a)

1

b)

8

c)

6

d)

0

27.

Which figure completes the pattern?

a)

△

b)

○

c)

□

d)

▲

28.

How many diagonals does a pentagon have?

a)

3

b)

5

c)

7

d)

10

29.

Which net can form a cube?

a)

Option A

b)

Option B

c)

Option C

d)

Option D

30.

A clock shows 4:20. What is the angle between the hands?

a)

10°

b)

20°

c)

40°

d)

50°

31.

Which shape has the greatest number of lines of symmetry?

a)

Square

b)

Rectangle

32.

If a mirror image of “b/d” is taken, what appears?

a)

b

b)

d

c)

p

d)

q

33.

Which 3D shape has only rectangular faces?

a)

Cube

b)

Cuboid

c)

Pyramid

d)

Cylinder

34.

How many faces does a triangular prism have?

a)

3

b)

4

c)

5

d)

6

35.

Which shape has no vertices?

a)

Cone

b)

Cylinder

c)

Sphere

d)

Pyramid

36.

A pattern doubles its sides each step. If it starts with a triangle, what comes next?

a)

Square

b)

Pentagon

c)

Hexagon

d)

Octagon

37.

How many cubes are needed to make a 3×3×3 cube?

a)

9

b)

18

c)

27

d)

36

38.

Which rotates into itself after 180°?

a)

Square

b)

Rectangle

c)

Circle

d)

All

39.

Which has curved surfaces only?

a)

Cone

b)

Sphere

c)

Cylinder

d)

Cube

40.

How many edges does a cube have?

a)

8

b)

10

c)

12

d)

14

41.

Which is NOT a tessellating shape?

a)

Triangle

b)

Square

c)

Hexagon

d)

Circle

42.

Q42. Identify the solid that has one vertex.

a)

Cone

b)

Cube

c)

Cylinder

d)

Sphere

43.

Which figure has rotational symmetry of order infinity?

a)

Square

b)

Rectangle

c)

Circle

d)

Pentagon

44.

How many planes of symmetry does a cube have?

a)

3

b)

6

c)

9

d)

12

45.

Which net cannot form a pyramid?

a)

Option A

b)

Option B

c)

Option C

d)

Option D

46.

Which shape has exactly one curved surface and one flat surface?

a)

Cone

b)

Sphere

c)

Cylinder

d)

Cube

47.

Which angle is obtuse?

a)

45°

b)

90°

c)

120°

d)

180°

48.

How many degrees in the sum of interior angles of a pentagon?

a)

360°

b)

540°

c)

720°

d)

900°

49.

Which is NOT a regular polygon?

a)

Square

b)

Rectangle

c)

Equilateral triangle

d)

Regular hexagon

50.

Which shape has exactly two faces?

a)

Cone

b)

Sphere

c)

Cylinder

d)

Prism

51.

Choose the odd one out:

a)

Knife

b)

Axe

c)

Sword

d)

Hammer

52.

Doctor : Hospital :: Teacher : ?

a)

Student

b)

School

c)

Book

d)

Chalk

53.

Which word is closest in meaning to OBSCURE?

a)

Clear

b)

Hidden

c)

Bright

d)

Simple

54.

If all cats are animals and some animals are pets, which is true?

a)

All cats are pets

b)

Some cats may be pets

c)

No cats are pets

d)

Pets are cats

55.

Which word does not belong?

a)

Grammar

b)

Syntax

c)

Punctuation

d)

Equation

56.

Choose the correct analogy: Eye : See :: Ear : ?

a)

Sound

b)

Hear

c)

Noise

d)

Listen

57.

Which sentence is logically correct?

a)

All birds can fly

b)

Some birds cannot fly

c)

No birds can fly

d)

Birds never walk

58.

Rearrange letters: CIFAIPC

a)

Country

b)

Ocean

c)

City

d)

River

59.

Which word is the antonym of SCARCE?

a)

Rare

b)

Limited

c)

Abundant

d)

Small

60.

Choose the odd one out:

a)

Apple

b)

Banana

c)

Carrot

d)

Mango

61.

Which conclusion follows? All lawyers are graduates. Some graduates are teachers.

a)

All teachers are lawyers

b)

Some lawyers may be teachers

c)

No lawyer is a teacher

d)

All graduates are lawyers

62.

Which word is wrongly spelt?

a)

Necessary

b)

Occurrence

c)

Seperate

d)

Committee

63.

Q63. Which is a collective noun?

a)

Team

b)

Apple

c)

Chair

d)

River

64.

If today is Friday, what day will it be after 100 days?

a)

Monday

b)

Tuesday

c)

Wednesday

d)

Thursday

65.

Which sentence is grammatically correct?

a)

He don’t know

b)

He doesn’t knows

c)

He doesn’t know

d)

He don’t knows

66.

Choose the correct analogy: Seed : Tree :: Egg : ?

a)

Hen

b)

Bird

c)

Nest

d)

Shell

67.

Which word is closest to RESILIENT?

a)

Weak

b)

Flexible

c)

Fragile

d)

Soft

68.

Which is not a synonym of FAST?

a)

Quick

b)

Rapid

69.

Which sentence is ambiguous?

a)

She saw the man with binoculars

b)

The sun rises in the east

c)

Water boils at 100°C

d)

Nairobi is in Kenya

70.

Which word has the most letters?

a)

Strength

b)

Education

c)

Intelligence

d)

Responsibility

71.

Which proverb means “do not delay”?

a)

A. A stitch in time saves nine

b)

B. Birds of a feather

c)

C. Look before you leap

d)

D. Honesty is the best policy

72.

Which is an abstract noun?

a)

Love

b)

Chair

c)

Book

d)

Stone

73.

Which is a correct plural?

a)

Childs

b)

Childrens

c)

Children

d)

Child

74.

Which statement defines intelligence best?

a)

Memorizing facts

b)

High marks

c)

Problem solving and adaptation

d)

Age

75.

A bat and ball cost KSh 110. Bat costs KSh 100 more. Ball costs?

a)

5

b)

10

c)

55

d)

50

76.

If A > B, B > C, C > D, which is true?

a)

A. A > D

b)

B. D > A

c)

C. C > A

d)

D. B < D

77.

Which conclusion is valid? All engineers are problem solvers. Some problem solvers are teachers.

a)

All engineers are teachers

b)

Some engineers may be teachers

c)

No teacher is an engineer

d)

All teachers are engineers

78.

Which reasoning is deductive?

a)

Guessing from trends

b)

Drawing general rules

c)

Applying a rule to a case

d)

Predicting outcomes

79.

If everyone in a room shakes hands once, total handshakes for 10 people?

a)

10

b)

20

c)

45

d)

90

80.

Which assumption is made? “He passed because he worked hard.”

a)

He is intelligent

b)

Hard work leads to success

c)

Exams are easy

d)

Teachers are fair

81.

Which argument is valid?

a)

All mammals fly

b)

Some birds swim

c)

No fish breathe

d)

All insects are mammals

82.

Which fallacy is this?

a)

False cause

b)

Appeal to popularity

c)

Slippery slope

d)

Circular reasoning

83.

If probability of rain is 0.3, probability of no rain is?

a)

0.3

b)

0.6

c)

0.7

d)

1.3

84.

Which is a hypothesis?

a)

Tested conclusion

b)

Tentative explanation

c)

Proven law

d)

Observation

85.

Which best describes critical thinking?

a)

Memorization

b)

Blind acceptance

c)

Logical evaluation

d)

Guessing

86.

Which is NOT evidence?

a)

Data

b)

Opinion

c)

Observation

d)

Experiment

87.

Which is a necessary condition?

a)

Rain causes flood

b)

Oxygen for fire

c)

Sun for night

d)

Water for rock

88.

Which reasoning uses specific to general?

a)

Inductive reasoning

b)

Deductive reasoning

c)

Analogical reasoning

d)

Abductive reasoning

89.

Which question tests evaluation?

a)

Define photosynthesis

b)

List planets

c)

Judge effectiveness

d)

Name elements

90.

Which skill is highest in Bloom’s taxonomy?

a)

Remember

b)

Understand

c)

Analyze

d)

Create

91.

Which is a valid inference?

a)

All dogs bark; my pet barks; it is a dog

b)

All birds fly; penguin flies

c)

All humans breathe; John breathes

d)

All fish swim; whales swim

92.

Which best explains intelligence quotient (IQ)?

a)

Raw score

b)

Rank order

c)

Standardized relative score

d)

Age

93.

Which situation involves ethical reasoning?

a)

Solving equation

b)

Choosing right over wrong

c)

Memorizing facts

d)

Counting numbers

94.

Which is an open-ended problem?

a)

2 + 2 = ?

b)

Name capital of Kenya

c)

Design a bridge

d)

What is 10 ÷ 2

95.

Which is an assumption?

a)

Verified fact

b)

Accepted without proof

c)

Tested theory

d)

Proven law

96.

Which problem requires lateral thinking?

a)

Long division

b)

Riddle

c)

Memorization

d)

Copying

97.

Which is NOT a cognitive skill?

a)

Reasoning

b)

Memory

c)

Emotion

d)

Problem solving

98.

Which best describes metacognition?

a)

Thinking fast

b)

Thinking about thinking

c)

Memorizing

d)

Repeating

99.

Q100. The highest indicator of intelligence is:

a)

IQ score

b)

Physical strength

c)

Height

d)

Wealth

Math and Logic Worksheet

Total questions: 99

Worksheet time: 50mins

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