Worksheet: Dividing Monomials

In this worksheet, we will practice dividing monomials involving single and multiple variables.

Q1:

Simplify 7 × 7 × 7 7 × 7 × 7 × 7 .

  • A 7
  • B 7
  • C 7
  • D 1 7

Q2:

Calculate 1 3 × 1 3 ÷ 1 3 , giving your answer in its simplest form.

  • A 1 3
  • B 27
  • C 1 3
  • D 1 2 7

Q3:

What is the length of a rectangle whose area is 1 0 𝑥 𝑦 cm2 and whose width is 5 𝑥 𝑦 cm?

  • A 5 𝑥 cm
  • B 2 𝑥 𝑦 cm
  • C 2 𝑥 𝑦 cm
  • D 2 𝑥 cm

Q4:

Simplify 3 2 ÷ 3 2 .

  • A 3 2
  • B 3 2
  • C 2 3
  • D 3 2
  • E 3 2

Q5:

Simplify 5 × 5 5 .

  • A 2 5 5
  • B 625
  • C 5 5
  • D 25

Q6:

Simplify 3 × 3 3 .

  • A 1 8
  • B 2 7
  • C 3 6
  • D 7 2 9
  • E729

Q7:

Which of the following is equal to 2 × 2 2 ?

  • A 4 2
  • B 16
  • C 2
  • D 4

Q8:

What is the value of 3 ÷ 3 ?

  • A 3 3
  • B 3
  • C 1 3
  • D 3 3

Q9:

Simplify 1 2 × 2 × 6 3 6 × 2 .

  • A 1 4 8
  • B 1 6
  • C 432
  • D 1 1 2
  • E 1 4 3 2

Q10:

Calculate 2 × 2 2 2 × 2 + 2 .

  • A136
  • B 1 7 1 5
  • C120
  • D 1 5 1 7
  • E128

Q11:

Simplify 2 × 6 1 2 .

  • A 1 3 2 4
  • B 1 3 9 6 3
  • C 1 9 6
  • D 2 3

Q12:

Express 1 2 ÷ 4 2 in its simplest form.

  • A 1 8
  • B 1 4
  • C 1 1 6 2
  • D 1 1 6
  • E 1 8 2

Q13:

What must 3 𝑦 be multiplied by to get 1 8 𝑥 𝑦 𝑧 2 ?

  • A 6 𝑥 𝑧 2
  • B 6 𝑥 𝑧
  • C 6 𝑥 𝑧 2
  • D 6 𝑥 𝑦 𝑧
  • E 6 𝑦 𝑥 𝑧 2

Q14:

What must 3 𝑦 be multiplied by to get 1 8 𝑥 𝑦 𝑧 2 ?

  • A 6 𝑥 𝑧 2
  • B 6 𝑥 𝑧
  • C 6 𝑥 𝑧 2
  • D 6 𝑥 𝑦 𝑧
  • E 6 𝑦 𝑥 𝑧 2

Q15:

Calculate 3 × 3 3 + 3 × 2 7 .

  • A 1 3
  • B 6
  • C 3
  • D 1 6

Q16:

Calculate 3 × 1 × , giving your answer in its simplest form.

  • A 2 4 5
  • B 3 6 5
  • C 2 4 5
  • D 3 6 5

Q17:

Simplify 1 7 1 5 × 1 2 3 4 3 × 9 .

  • A 9 6 4 0 0
  • B 2 5 6 7 2 9
  • C 7 2 9 2 5 6
  • D 6 4 0 0 9

Q18:

Calculate 7 × 2 1 4 .

  • A 56
  • B 6 5 2 7 4 4
  • C 6 5 1 4
  • D 2 7
  • E 1 1 9 6

Q19:

The diagram shows a unit square of side 𝑢 . The blue rectangle has an area of 1 2 𝑢 .

Express 1 2 𝑢 in terms of quarters of 𝑢 .

  • A 3 4 𝑢
  • B 1 4 𝑢
  • C 5 4 𝑢
  • D 2 4 𝑢
  • E 4 3 𝑢

Which of the following is a multiplication equality giving the area of the blue rectangle?

  • A 3 4 𝑢 × ? 𝑢 = 2 4 𝑢
  • B 3 4 𝑢 × ? 𝑢 = 5 4 𝑢
  • C 3 4 𝑢 × ? 𝑢 = 3 4 𝑢
  • D 3 4 𝑢 × ? 𝑢 = 1 4 𝑢
  • E 3 4 𝑢 × ? 𝑢 = 4 3 𝑢

What is the unknown length of the blue rectangle?

  • A 1 6 9 𝑢
  • B 1 3 𝑢
  • C 2 3 𝑢
  • D 𝑢
  • E 5 3 𝑢

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