Grade 10 math worksheets, practice and tests

Real Numbers

Sample Question

The HCF of 156 and 168 is

A. 11

B. 12

C. 14

D. None of above

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Linear Equations in Two Variables

Sample Question

The pair of equations x = -40 and y = 40 graphically represents lines which are

A. intersecting at (-40, 40)

B. coincident

C. parallel

D. intersecting at (40, -40)

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New Online Test

Unlimited Online Practice

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Quadratic Equations

Sample Question

A natural number, when decreased by 3, equals 180 times its reciprocal. Find the
number.

A. 16

B. 11

C. 15

D. 18

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New Online Test

Unlimited Online Practice

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Arithmetic Progressions

Sample Question

For what values of p are 3p + 9, 4p + 7, and 6p - 3 sequential members of an arithmetic progression?

A. 7

B. 8

C. 10

D. 5

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New Online Test

Unlimited Online Practice

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Trigonometry

Sample Question

Simplify

A. sinθ cosθ

B. 0

C. sin²θ - cos²θ

D. tanθ + cotθ

New Worksheet

New Online Test

Unlimited Online Practice

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Mean, Mode and Median

Sample Question

What is the probability that an integer in the set 1, 2, 3, ...152 is divisible by 2 and not divisible by 3?

A.
52
151

B.
48
151

C.
51
152

D.
52
153

New Worksheet

New Online Test

Unlimited Online Practice

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Probability

Sample Question

A card is drawn from a shuffled deck of 52 cards. What is the probability of getting a card greater than 2 but lesser than 10?

A.
28
52

B.
21
52

C.
14
52

D.
7
52

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New Online Test

Unlimited Online Practice

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Dice and Cubes

Sample Question

A die has numbers 1 to 6, such that sum of opposite faces are always 7. Which is the correct view of die ?

A.

B.

C.

D.

New Worksheet

New Online Test

Unlimited Online Practice

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Venn Diagrams

Sample Question

Following chart shows number of students in a school who play one of three sports. Find the number of students who play exactly two sports.

A. 41

B. 42

C. 45

D. 44

New Worksheet

New Online Test

Unlimited Online Practice

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Number Series

Sample Question

Find the next term of given sequence ..
25, 27, 30, 35, 42, 53, 66, ....

A. 87

B. 83

C. 77

D. 86

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Alphabet Problems

Sample Question

Which is the odd one out in this set:
steak, stake, kates, skate

A. kates

B. steak

C. stake

D. skate

New Worksheet

New Online Test

Unlimited Online Practice

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NTSE_MAT

Sample Question

Which of the following choices would replace the blank below
DEFG:HIJK::HIJK:____

A. MNOP

B. KLMN

C. LMNN

D. LMNO

New Worksheet

New Online Test

Unlimited Online Practice

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Full Year 10th Grade Review

Sample Question

A spherical balloon of radius 5 feet subtends an angle 60° at the eye of an observer. If the angle of elevation of its centre is 45°, find the height of the centre of the balloon.

A. 5/√2 feet

B. 10 feet

C. 5 feet

D. 5√2 feet

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Polynomials

Sample Question

If α and β are the zeros of polynomial x² + 3x - 10, find a polynomial whose zeros are 2α+3 and 2β+3.

A. k [x² - 49]

B. k [x² - 49x]

C. k [x² + 5x - 49]

D. k [x² - 51]

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New Online Test

Unlimited Online Practice

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Grade 10 Math

Preparing for competitive exams? Jump to Olympiad | SAMC

SCHOOL TOPICS

Real Numbers

Sample Question

The HCF of 156 and 168 is

A. 11

B. 12

C. 14

D. None of above

Linear Equations in Two Variables

Sample Question

The pair of equations x = -40 and y = 40 graphically represents lines which are

A. intersecting at (-40, 40)

B. coincident

C. parallel

D. intersecting at (40, -40)

Quadratic Equations

Sample Question

A natural number, when decreased by 3, equals 180 times its reciprocal. Find the
number.

A. 16

B. 11

C. 15

D. 18

Arithmetic Progressions

Sample Question

For what values of p are 3p + 9, 4p + 7, and 6p - 3 sequential members of an arithmetic progression?

A. 7

B. 8

C. 10

D. 5

Trigonometry

Sample Question

Simplify

A. sinθ cosθ

B. 0

C. sin²θ - cos²θ

D. tanθ + cotθ

Mean, Mode and Median

Sample Question

What is the probability that an integer in the set 1, 2, 3, ...152 is divisible by 2 and not divisible by 3?

A.
52
151

B.
48
151

C.
51
152

D.
52
153

Probability

Sample Question

A card is drawn from a shuffled deck of 52 cards. What is the probability of getting a card greater than 2 but lesser than 10?

A.
28
52

B.
21
52

C.
14
52

D.
7
52

Dice and Cubes

Sample Question

A die has numbers 1 to 6, such that sum of opposite faces are always 7. Which is the correct view of die ?

A.

B.

C.

D.

Venn Diagrams

Sample Question

Following chart shows number of students in a school who play one of three sports. Find the number of students who play exactly two sports.

A. 41

B. 42

C. 45

D. 44

Number Series

Sample Question

Find the next term of given sequence ..
25, 27, 30, 35, 42, 53, 66, ....

A. 87

B. 83

C. 77

D. 86

Alphabet Problems

Sample Question

Which is the odd one out in this set:
steak, stake, kates, skate

A. kates

B. steak

C. stake

D. skate

NTSE_MAT

Sample Question

Which of the following choices would replace the blank below
DEFG:HIJK::HIJK:____

A. MNOP

B. KLMN

C. LMNN

D. LMNO

Full Year 10th Grade Review

Sample Question

A spherical balloon of radius 5 feet subtends an angle 60° at the eye of an observer. If the angle of elevation of its centre is 45°, find the height of the centre of the balloon.

A. 5/√2 feet

B. 10 feet

C. 5 feet

D. 5√2 feet

Polynomials

Sample Question

If α and β are the zeros of polynomial x² + 3x - 10, find a polynomial whose zeros are 2α+3 and 2β+3.

A. k [x² - 49]

B. k [x² - 49x]

C. k [x² + 5x - 49]

D. k [x² - 51]

A.	intersecting at (-40, 40)
B.	coincident
C.	parallel
D.	intersecting at (40, -40)

A.	k [x² - 49]
B.	k [x² - 49x]
C.	k [x² + 5x - 49]
D.	k [x² - 51]

Grade 10 Math

Preparing for competitive exams? Jump to Olympiad | SAMC

SCHOOL TOPICS

Real Numbers Sample Question The HCF of 156 and 168 is A.11 B.12 C.14 D.None of above

Linear Equations in Two Variables Sample Question The pair of equations x = -40 and y = 40 graphically represents lines which are A.intersecting at (-40, 40) B.coincident C.parallel D.intersecting at (40, -40)

Quadratic Equations Sample Question A natural number, when decreased by 3, equals 180 times its reciprocal. Find thenumber. A.16 B.11 C.15 D.18

Arithmetic Progressions Sample Question For what values of p are 3p + 9, 4p + 7, and 6p - 3 sequential members of an arithmetic progression? A.7 B.8 C.10 D.5

Trigonometry Sample Question Simplify A.sinθ cosθ B.0 C.sin2θ - cos2θ D.tanθ + cotθ

Mean, Mode and Median Sample Question What is the probability that an integer in the set 1, 2, 3, ...152 is divisible by 2 and not divisible by 3? A. 52151 B. 48151 C. 51152 D. 52153

Probability Sample Question A card is drawn from a shuffled deck of 52 cards. What is the probability of getting a card greater than 2 but lesser than 10? A. 2852 B. 2152 C. 1452 D. 752

Dice and Cubes Sample Question A die has numbers 1 to 6, such that sum of opposite faces are always 7. Which is the correct view of die ? A. B. C. D.

Venn Diagrams Sample Question Following chart shows number of students in a school who play one of three sports. Find the number of students who play exactly two sports. A.41 B.42 C.45 D.44

Number Series Sample Question Find the next term of given sequence ..25, 27, 30, 35, 42, 53, 66, .... A.87 B.83 C.77 D.86

Alphabet Problems Sample Question Which is the odd one out in this set: steak, stake, kates, skate A.kates B.steak C.stake D.skate

NTSE_MAT Sample Question Which of the following choices would replace the blank belowDEFG:HIJK::HIJK:____ A.MNOP B.KLMN C.LMNN D.LMNO

Full Year 10th Grade Review Sample Question A spherical balloon of radius 5 feet subtends an angle 60° at the eye of an observer. If the angle of elevation of its centre is 45°, find the height of the centre of the balloon. A.5/√2 feet B.10 feet C.5 feet D.5√2 feet

Polynomials Sample Question If α and β are the zeros of polynomial x2 + 3x - 10, find a polynomial whose zeros are 2α+3 and 2β+3. A.k [x2 - 49] B.k [x2 - 49x] C.k [x2 + 5x - 49] D.k [x2 - 51]

Real Numbers

Sample Question

The HCF of 156 and 168 is

A. 11

B. 12

C. 14

D. None of above

Linear Equations in Two Variables

Sample Question

The pair of equations x = -40 and y = 40 graphically represents lines which are

A. intersecting at (-40, 40)

B. coincident

C. parallel

D. intersecting at (40, -40)

Quadratic Equations

Sample Question

A natural number, when decreased by 3, equals 180 times its reciprocal. Find the
number.

A. 16

B. 11

C. 15

D. 18

Arithmetic Progressions

Sample Question

For what values of p are 3p + 9, 4p + 7, and 6p - 3 sequential members of an arithmetic progression?

A. 7

B. 8

C. 10

D. 5

Trigonometry

Sample Question

Simplify

A. sinθ cosθ

B. 0

C. sin²θ - cos²θ

D. tanθ + cotθ

Mean, Mode and Median

Sample Question

What is the probability that an integer in the set 1, 2, 3, ...152 is divisible by 2 and not divisible by 3?

A.
52
151

B.
48
151

C.
51
152

D.
52
153

Probability

Sample Question

A card is drawn from a shuffled deck of 52 cards. What is the probability of getting a card greater than 2 but lesser than 10?

A.
28
52

B.
21
52

C.
14
52

D.
7
52

Dice and Cubes

Sample Question

A die has numbers 1 to 6, such that sum of opposite faces are always 7. Which is the correct view of die ?

A.

B.

C.

D.

Venn Diagrams

Sample Question

Following chart shows number of students in a school who play one of three sports. Find the number of students who play exactly two sports.

A. 41

B. 42

C. 45

D. 44

Number Series

Sample Question

Find the next term of given sequence ..
25, 27, 30, 35, 42, 53, 66, ....

A. 87

B. 83

C. 77

D. 86

Alphabet Problems

Sample Question

Which is the odd one out in this set:
steak, stake, kates, skate

A. kates

B. steak

C. stake

D. skate

NTSE_MAT

Sample Question

Which of the following choices would replace the blank below
DEFG:HIJK::HIJK:____

A. MNOP

B. KLMN

C. LMNN

D. LMNO

Full Year 10th Grade Review

Sample Question

A spherical balloon of radius 5 feet subtends an angle 60° at the eye of an observer. If the angle of elevation of its centre is 45°, find the height of the centre of the balloon.

A. 5/√2 feet

B. 10 feet

C. 5 feet

D. 5√2 feet

Polynomials

Sample Question

If α and β are the zeros of polynomial x² + 3x - 10, find a polynomial whose zeros are 2α+3 and 2β+3.

A. k [x² - 49]

B. k [x² - 49x]

C. k [x² + 5x - 49]

D. k [x² - 51]