G6 Algebra - Math and Science Olympiad trainer and online tutoring

G6 Algebra

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1) Evaluate:
2a + 3b when a = 2 and b = 4

A) 18

B) 14

C) 15

D) 16

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2) A whole number x is such that when it is divided by 3, the quotient is 7 and the remainder is 2.
What is x?

A) 19

B) 21

C) 20

D) 23

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3) If the pattern is: 1, 4, 9, 16, 25,…
What is the algebraic rule for the nth term?

A) n + 2

B) n² − 1

C) 2n

D) n²

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4) The side of a square is (x + 1) cm.
Write an expression for its area.

A) x² + 1

B) 2(x + 1)

C) x + 1²

D) (x + 1)²

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5) If a = 5 and b = 3, what is the value of 2a + 3b − 1?

A) 18

B) 14

C) 20

D) 16

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6) Factorize: 6x + 9

A) 3(x + 3)

B) 2(3x + 3)

C) 3(2x + 3)

D) 6(x + 1.5)

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7) A baker made ‘p’ number of cakes. He sold 12 cakes in the morning and 8 cakes in the afternoon.
He was left with 5 cakes.
Which equation represents this situation

A) p – 12 – 8 = 5

B) p – 12 + 8 = 5

C) p + 12 – 8 = 5

D) p + 12 + 8 = 5

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8) Simplify:
3(x + 4) − 2(x − 3)

A) 5x − 2

B) x + 16

C) x + 18

D) x + 6

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9) A father is 3 times as old as his son.
If the son is x years old and the father is 36 years old, how old is the son?

A) 12

B) 10

C) 8

D) 9

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10) Solve:
5x − 7 = 3x + 5

What is the value of x?

A) 6

B) 8

C) 7

D) 5

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11) The algebraic expression for the statement “Twice a number ‘p’ is 10 less than 30” is:

A) 2p − 10 = 30

B) 2p = 10 − 30

C) 2p = 30 − 10

D) 10 − 2p = 30

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12) Simplify:
(x + 2)² − (x − 2)²

A) 8x

B) 6x

C) 4x

D) 10x

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13) The algebraic expression for the statement “The sum of a number ‘t’ and 8, multiplied by 3, is 45” is:

A) (t − 8) × 3 = 45

B) t + 8 × 3 = 45

C) 3(t + 8) = 45

D) 3t + 8 = 45

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14) Factorize completely:
6x² + 9x

A) 3x(2x + 3)

B) 6x(x + 1.5)

C) 2x(3x + 3)

D) 3x(x + 3)

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15) Factorize: 8x − 12

A) 2(4x − 6)

B) 8(x − 1.5)

C) 4(2x − 3)

D) 2x(4 − 6)

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16) The algebraic expression for the statement “Half of a number ‘k’ is 20 more than its one-fourth” is:

A) 2k = 4k + 20

B) k/2 = k/4 + 20

C) k/4 = k/2 + 20

D) k/2 = k/4 – 20

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17) What number added to x gives 0?

A) −x

B) x

C) 0

D) 1

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18) Which is/are the factor of x² − 9?

A) x(x − 9)

B) (x + 3)²

C) (x − 3)(x + 3)

D) (x − 3)²

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19) Solve:
2(x + 3) = x + 12 to find value of x.

A) 6

B) 8

C) 7

D) 5

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20) A theatre earns ₹x per ticket and sells 120 tickets. Write an expression for the total earnings.

A) 120 + x

B) 120x

C) x ÷ 120

D) x + 120

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