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Algebra - Free MCQ Practice Test with solutions, Year 6 Mathematics


MCQ Practice Test & Solutions: Test: Algebra (10 Questions)

You can prepare effectively for Year 6 Year 6 Mathematics with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Algebra". These 10 questions have been designed by the experts with the latest curriculum of Year 6 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

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Test: Algebra - Question 1

What is the formula to calculate the volume of a cuboid?

Detailed Solution: Question 1

The volume of a cuboid is calculated by multiplying the length, width, and height together, expressed as Volume = l × w × h.

Test: Algebra - Question 2

If the length of a cuboid is 5 cm, the width is 3 cm, and the height is 4 cm, what is its volume?

Detailed Solution: Question 2

Substitute the values into the formula: Volume = 5 cm × 3 cm × 4 cm = 60 cm3.

Test: Algebra - Question 3

Libby earns £30 a day plus £10 for every pet she sells. If she sells 6 pets in one day, how much does she earn?

Detailed Solution: Question 3

Substitute the number of pets sold into the formula: Amount earned = £30 + (10 × 6) = £30 + £60 = £90.

Test: Algebra - Question 4

 If the cost of one pet is  £30 then, Which equation represents the earnings of Libby if she sold 8 pets?

Detailed Solution: Question 4

Step 1: Libby earns £30 for selling one pet.

Step 2: She sold 8 pets.

Step 3: To find her total earnings we multiply the money for one pet by the number of pets.

So, Amount earned = £30 × 8

Now let’s check the options:
a) £30 + 8 → this is just adding, not correct.
b) £30 × 8 → this is correct, it matches our calculation.
c) £30 + (10 × 8) → this adds an extra 10 × 8, wrong.
d) £30 × (10 + 8) → this means £30 × 18, which is too big and wrong.

Final Answer: Option b, Amount earned = £30 × 8.

We use multiplication because each pet has the same price.

Test: Algebra - Question 5

Solve the equation: 5x = 25.

Detailed Solution: Question 5

Divide both sides by 5 to isolate x: x = 25 ÷ 5 = 5.

Test: Algebra - Question 6

If 2x + 3 = 11, what is the value of x?

Detailed Solution: Question 6

Subtract 3 from both sides: 2x = 8. Then divide by 2: x = 8 ÷ 2 = 4.

Test: Algebra - Question 7

In the equation a + 7 = 12, what is the value of a?

Detailed Solution: Question 7

Subtract 7 from both sides to isolate a: a = 12 - 7 = 5.

Test: Algebra - Question 8

What is the next step to solve the equation 3y - 4 = 8?

Detailed Solution: Question 8

To isolate the variable y, you first add 4 to both sides: 3y = 12.

Test: Algebra - Question 9

If the length of a cuboid is 7 cm, the width is 4 cm, and the height is 3 cm, what is its volume?

Detailed Solution: Question 9

Substitute the values into the formula: Volume = 7 cm × 4 cm × 3 cm = 84 cm3.

Test: Algebra - Question 10

Which of the following is an example of a variable in an equation?

Detailed Solution: Question 10

A variable is typically represented by a letter, such as x, which can change its value based on the equation.

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