Grade 10 math worksheets, practice and tests

Real Numbers

Sample Question

2 + 8√11 is __________ number

A. an irrational

B. a rational

C. a natural

D. a whole

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Linear Equations in Two Variables

Sample Question

Which of the following conditions is true if the system of equations below is shown to be inconsistent
a₁x + b₁y + c₁ = 0, a₂x + b₂y + c₂ = 0

A.
a₁
a₂
=
b₁
b₂
≠
c₁
c₂

B.
a₁
a₂
≠
b₁
b₂
≠
c₁
c₂

C.
a₁
b₁
=
a₂
b₂
=
c₁
c₂

D.
a₁
a₂
=
b₁
b₂
=
c₁
c₂

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New Online Test

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Quadratic Equations

Sample Question

Lilly buys number of toys for QR24. If she had bought 2 more toys for the same amount, each toy would have cost QR1 less. How many toys did she buy?

A. 5

B. 9

C. 6

D. 7

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New Online Test

Unlimited Online Practice

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Arithmetic Progressions

Sample Question

In an arithmetic progression, the value of the 7^th element is
1
14
, and the value of 14^th element is
1
7
. What is the value of 98^th element?

A. -2

B. 1

C. -1

D. 0

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New Online Test

Unlimited Online Practice

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Trigonometry

Sample Question

2 cos³θ - cosθ
sinθ - 2 sin³θ
= ?

A. -cot θ

B. cot θ

C. tan θ

D. -tan θ

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New Online Test

Unlimited Online Practice

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Mean, Mode and Median

Sample Question

Joshua draws one card from a shuffled deck of 52 cards. What is the probability that he drew a spade or a Queen?

A.
4
52

B.
4
13

C. 1

D.
1
13

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New Online Test

Unlimited Online Practice

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Probability

Sample Question

What is the probability that a leap year will contain 53 Wednesdays?

A.
2
7

B.
1
366

C.
2
366

D.
1
7

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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.

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New Online Test

Unlimited Online Practice

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Venn Diagrams

Sample Question

In this diagram, the triangle represents women, the square represents engineers and the circle represents sports persons. Find the number of men who are engineers and sports persons.

A. 1

B. 7

C. 2

D. 9

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New Online Test

Unlimited Online Practice

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Number Series

Sample Question

Find the next term of given sequence ..
25, 26, 30, 39, 55, ....

A. 80

B. 88

C. 73

D. 81

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New Online Test

Unlimited Online Practice

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Alphabet Problems

Sample Question

Which of the following choices would replace the blanks below
YX_XXYXYXX__YXXYXYXX_X_XX

A. YXXYY

B. YYXYY

C. YYYYY

D. XYXYY

New Worksheet

New Online Test

Unlimited Online Practice

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NTSE_MAT

Sample Question

Which is the odd one out in this set
IA, IU, IP, IK

A. IP

B. IA

C. IK

D. IU

New Worksheet

New Online Test

Unlimited Online Practice

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Full Year 10th Grade Review

Sample Question

2 sin³θ - sinθ
2 cos³θ - cosθ
= ?

A. -tan θ

B. tan θ

C. cot θ

D. -cot θ

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Polynomials

Sample Question

If two zeros of polynomial x³ + bx² + cx + d are 1+√2 and 1-√2, find its third zero.

A. 2 - b

B. - c - 2

C. -b - 2

D. b - 2

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New Online Test

Unlimited Online Practice

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Grade 10 Math

Preparing for competitive exams? Jump to Olympiad

SCHOOL TOPICS

Real Numbers

Sample Question

2 + 8√11 is __________ number

A. an irrational

B. a rational

C. a natural

D. a whole

Quadratic Equations

Sample Question

Lilly buys number of toys for QR24. If she had bought 2 more toys for the same amount, each toy would have cost QR1 less. How many toys did she buy?

A. 5

B. 9

C. 6

D. 7

Arithmetic Progressions

Sample Question

In an arithmetic progression, the value of the 7^th element is
1
14
, and the value of 14^th element is
1
7
. What is the value of 98^th element?

A. -2

B. 1

C. -1

D. 0

Trigonometry

Sample Question

2 cos³θ - cosθ
sinθ - 2 sin³θ
= ?

A. -cot θ

B. cot θ

C. tan θ

D. -tan θ

Mean, Mode and Median

Sample Question

Joshua draws one card from a shuffled deck of 52 cards. What is the probability that he drew a spade or a Queen?

A.
4
52

B.
4
13

C. 1

D.
1
13

Probability

Sample Question

What is the probability that a leap year will contain 53 Wednesdays?

A.
2
7

B.
1
366

C.
2
366

D.
1
7

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

In this diagram, the triangle represents women, the square represents engineers and the circle represents sports persons. Find the number of men who are engineers and sports persons.

A. 1

B. 7

C. 2

D. 9

Number Series

Sample Question

Find the next term of given sequence ..
25, 26, 30, 39, 55, ....

A. 80

B. 88

C. 73

D. 81

Alphabet Problems

Sample Question

Which of the following choices would replace the blanks below
YX_XXYXYXX__YXXYXYXX_X_XX

A. YXXYY

B. YYXYY

C. YYYYY

D. XYXYY

NTSE_MAT

Sample Question

Which is the odd one out in this set
IA, IU, IP, IK

A. IP

B. IA

C. IK

D. IU

Full Year 10th Grade Review

Sample Question

2 sin³θ - sinθ
2 cos³θ - cosθ
= ?

A. -tan θ

B. tan θ

C. cot θ

D. -cot θ

Polynomials

Sample Question

If two zeros of polynomial x³ + bx² + cx + d are 1+√2 and 1-√2, find its third zero.

A. 2 - b

B. - c - 2

C. -b - 2

D. b - 2

Grade 10 Math

Preparing for competitive exams? Jump to Olympiad

SCHOOL TOPICS

Real Numbers Sample Question 2 + 8√11 is __________ number A.an irrational B.a rational C.a natural D.a whole

Linear Equations in Two Variables Sample Question Which of the following conditions is true if the system of equations below is shown to be inconsistenta1x + b1y + c1 = 0, a2x + b2y + c2 = 0 A. a1a2 = b1b2 ≠ c1c2 B. a1a2 ≠ b1b2 ≠ c1c2 C. a1b1 = a2b2 = c1c2 D. a1a2 = b1b2 = c1c2

Quadratic Equations Sample Question Lilly buys number of toys for QR24. If she had bought 2 more toys for the same amount, each toy would have cost QR1 less. How many toys did she buy? A.5 B.9 C.6 D.7

Arithmetic Progressions Sample Question In an arithmetic progression, the value of the 7th element is 114 , and the value of 14th element is 17 . What is the value of 98th element? A.-2 B.1 C.-1 D.0

Trigonometry Sample Question 2 cos3θ - cosθsinθ - 2 sin3θ = ? A.-cot θ B.cot θ C.tan θ D.-tan θ

Mean, Mode and Median Sample Question Joshua draws one card from a shuffled deck of 52 cards. What is the probability that he drew a spade or a Queen? A. 452 B. 413 C.1 D. 113

Probability Sample Question What is the probability that a leap year will contain 53 Wednesdays? A. 27 B. 1366 C. 2366 D. 17

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 In this diagram, the triangle represents women, the square represents engineers and the circle represents sports persons. Find the number of men who are engineers and sports persons. A.1 B.7 C.2 D.9

Number Series Sample Question Find the next term of given sequence ..25, 26, 30, 39, 55, .... A.80 B.88 C.73 D.81

Alphabet Problems Sample Question Which of the following choices would replace the blanks belowYX_XXYXYXX__YXXYXYXX_X_XX A.YXXYY B.YYXYY C.YYYYY D.XYXYY

NTSE_MAT Sample Question Which is the odd one out in this setIA, IU, IP, IK A.IP B.IA C.IK D.IU

Full Year 10th Grade Review Sample Question 2 sin3θ - sinθ2 cos3θ - cosθ = ? A.-tan θ B.tan θ C.cot θ D.-cot θ

Polynomials Sample Question If two zeros of polynomial x3 + bx2 + cx + d are 1+√2 and 1-√2, find its third zero. A.2 - b B.- c - 2 C.-b - 2 D.b - 2

Real Numbers

Sample Question

2 + 8√11 is __________ number

A. an irrational

B. a rational

C. a natural

D. a whole

Quadratic Equations

Sample Question

Lilly buys number of toys for QR24. If she had bought 2 more toys for the same amount, each toy would have cost QR1 less. How many toys did she buy?

A. 5

B. 9

C. 6

D. 7

Arithmetic Progressions

Sample Question

In an arithmetic progression, the value of the 7^th element is
1
14
, and the value of 14^th element is
1
7
. What is the value of 98^th element?

A. -2

B. 1

C. -1

D. 0

Trigonometry

Sample Question

2 cos³θ - cosθ
sinθ - 2 sin³θ
= ?

A. -cot θ

B. cot θ

C. tan θ

D. -tan θ

Mean, Mode and Median

Sample Question

Joshua draws one card from a shuffled deck of 52 cards. What is the probability that he drew a spade or a Queen?

A.
4
52

B.
4
13

C. 1

D.
1
13

Probability

Sample Question

What is the probability that a leap year will contain 53 Wednesdays?

A.
2
7

B.
1
366

C.
2
366

D.
1
7

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

In this diagram, the triangle represents women, the square represents engineers and the circle represents sports persons. Find the number of men who are engineers and sports persons.

A. 1

B. 7

C. 2

D. 9

Number Series

Sample Question

Find the next term of given sequence ..
25, 26, 30, 39, 55, ....

A. 80

B. 88

C. 73

D. 81

Alphabet Problems

Sample Question

Which of the following choices would replace the blanks below
YX_XXYXYXX__YXXYXYXX_X_XX

A. YXXYY

B. YYXYY

C. YYYYY

D. XYXYY

NTSE_MAT

Sample Question

Which is the odd one out in this set
IA, IU, IP, IK

A. IP

B. IA

C. IK

D. IU

Full Year 10th Grade Review

Sample Question

2 sin³θ - sinθ
2 cos³θ - cosθ
= ?

A. -tan θ

B. tan θ

C. cot θ

D. -cot θ

Polynomials

Sample Question

If two zeros of polynomial x³ + bx² + cx + d are 1+√2 and 1-√2, find its third zero.

A. 2 - b

B. - c - 2

C. -b - 2

D. b - 2