Maths Codes Practice 3

In this practice exercise, students will replace letters with numbers and solve problems using BIDMAS under timed conditions.

Key stage:  KS 2

Curriculum topic:  Verbal Reasoning Exam-Style Practice

Curriculum subtopic:  Maths Codes

Difficulty level:

QUESTION 1 of 10

If you are unsure of an answer, move on to the next question.

You should come back to questions you found difficult at the end if you have time.

Let’s try one as a reminder and write the answer as a letter:

If a = 4, b = 125, c = 3, d = 11 and e = 7, what is d (c x a) - e?

Where there isn’t a -, +, x or ÷ between the first letter and the bracket, it means we have to multiply the outside number by what is in the brackets.

So the steps we follow are:

c x a = 12

d x 12 = 132

132 - e = 125

We must turn the number 125 back into a letter. This number corresponds to the letter b.

Now it's time to begin this practice exercise.

Good luck!

You have been given the following information: A = 3, B = 5, C = 6, D = 9, E = 11.

Which letter completes the equation: √D + E - A = __?

A

B

C

D

E

You have been given the following information: a = 2, b = 6, c = 4, d = 8, e = 12.

Which letter completes the equation: c&sup2 - (b - a) = __?

a

b

c

d

e

You have been given the following information: A = 20, B = 10, C = 4, D = 5, E = 2.

Which letter completes the equation: B&sup2 ÷ A = __?

A

B

C

D

E

You have been given the following information: a = 3, b = 6, c = 7, d = 9, e = 11.

Which letter completes the equation: (d x e) ÷ (b x c - d) = __?

a

b

c

d

e

You have been given the following information: A = 24, B = 9, C = 8, D = 2, E = 1.

Which letter completes the equation: (B x C) ÷ (D + E) = __?

A

B

C

D

E

You have been given the following information: a = 16, b = 7, c = 6, d = 8, e = 12.

Which letter completes the equation: e x d ÷ c = __?

a

b

c

d

e

You have been given the following information: A = 32, B = 4, C = 8, D = 24, E = 14.

Which letter completes the equation: (D + A) ÷ B = __?

A

B

C

D

E

You have been given the following information: a = 4, b = 8, c = 9, d = 2, e = 32.

Which letter completes the equation: d (b&sup2 ÷ a) = __?

a

b

c

d

e

You have been given the following information: A = 81, B = 9, C = 17, D = 4, E = 6.

Which letter completes the equation: √A (D + E) - A = __?

A

B

C

D

E

You have been given the following information: a = 36, b = 6, c = 25, d = 10, e = 110.

Which letter complete the equation: d (√a + √c) = __?

a

b

c

d

e

• Question 1

You have been given the following information: A = 3, B = 5, C = 6, D = 9, E = 11.

Which letter completes the equation: √D + E - A = __?

E
EDDIE SAYS
The question tells us that D = 9, E = 11 and A = 3.
If we substitute these numbers for the letters in the equation then √D + E - A = __ becomes √9 + 11 - 3 = __.
Using the rules of BIDMAS, we can tackle the steps of the calculation in exactly the order in which they have been written.
So 3 + 11 - 3 = 11.
The letter that corresponds to 11 is E, so this is the correct answer.
• Question 2

You have been given the following information: a = 2, b = 6, c = 4, d = 8, e = 12.

Which letter completes the equation: c&sup2 - (b - a) = __?

e
EDDIE SAYS
The question tells us that c = 4, b = 6 and a = 2.
If we substitute these numbers for the letters in the equation then c² - (b - a) = __ becomes 4² - (6 - 2) = __.
Using the rules of BIDMAS, we need to work out the sum in the brackets first, then the power (²), and then subtract them from each other.
So (6 - 2) = 4 and 4² = 16. 16 - 4 = 12.
The letter that corresponds to 12 is e, so this is the correct answer.
• Question 3

You have been given the following information: A = 20, B = 10, C = 4, D = 5, E = 2.

Which letter completes the equation: B&sup2 ÷ A = __?

D
EDDIE SAYS
The question tells us that B = 10 and A = 20.
If we substitute these numbers for the letters in the equation then B² ÷ A = __ becomes 10² ÷ 20 = __.
Using the rules of BIDMAS, we can tackle the steps of the calculation in exactly the order in which they have been written.
So 10² ÷ 20 = 100 ÷ 20 = 5.
The letter that corresponds to 5 is D, so this is the correct answer.
• Question 4

You have been given the following information: a = 3, b = 6, c = 7, d = 9, e = 11.

Which letter completes the equation: (d x e) ÷ (b x c - d) = __?

a
EDDIE SAYS
The question tells us that d = 9, e = 11, b = 6 and c = 7.
If we substitute these numbers for the letters in the equation then (d x e) ÷ (b x c - d) = __ becomes (9 x 11) ÷ (6 x 7 - 9) = __.
Using the rules of BIDMAS, we must tackle the two sets of brackets separately first, and then divide the answers we find from each.
So 9 x 11 = 99. And 6 x 7 - 9 = 33.
99 ÷ 33 = 3.
The letter that corresponds to 3 is a, so this is the correct answer.
• Question 5

You have been given the following information: A = 24, B = 9, C = 8, D = 2, E = 1.

Which letter completes the equation: (B x C) ÷ (D + E) = __?

A
EDDIE SAYS
The question tells us that B = 9, C = 8, D = 2 and E = 1.
If we substitute these numbers for the letters in the equation then (B x C) ÷ (D + E) = __ becomes (9 x 8) ÷ (2 + 1) = __. Using the rules of BIDMAS, we must tackle the two sets of brackets first, then divide the answer we reach.
So (9 x 8) = 72. And (2 + 1) = 3.
72 ÷ 3 = 24.
The letter that corresponds to 24 is A, so this is the correct answer.
• Question 6

You have been given the following information: a = 16, b = 7, c = 6, d = 8, e = 12.

Which letter completes the equation: e x d ÷ c = __?

a
EDDIE SAYS
The question tells us that e = 12, d = 8 and c = 6.
If we substitute these numbers for the letters in the equation then e x d ÷ c = __ becomes 12 x 8 ÷ 6 = __.
Using the rules of BIDMAS, we can work through the steps of this calculation in exactly the order in which they have been written.
So 12 x 8 ÷ 6 = 96 ÷ 6 = 16.
The letter that corresponds to 16 is a, so this is the correct answer.
• Question 7

You have been given the following information: A = 32, B = 4, C = 8, D = 24, E = 14.

Which letter completes the equation: (D + A) ÷ B = __?

E
EDDIE SAYS
The question tells us that D = 24, A = 32 and B = 4.
If we substitute these numbers for the letters in the equation then (D + A) ÷ B = __ becomes (24 + 32) ÷ 4 = __.
Using the rules of BIDMAS, we can tackle the steps of the calculation in the exact order they have been written.
So (24 + 32) ÷ 4 = 56 ÷ 4 = 14.
The letter that corresponds to 14 is E, so this is the correct answer.
• Question 8

You have been given the following information: a = 4, b = 8, c = 9, d = 2, e = 32.

Which letter completes the equation: d (b&sup2 ÷ a) = __?

e
EDDIE SAYS
The question tells us that d = 2, b = 8 and a = 4.
If we substitute these numbers for the letters in the equation then d (b² ÷ a) = __ becomes 2 x (8² ÷ 4) = __.
Using the rules of BIDMAS, we must work out the sum in the brackets first, then multiply this answer by 2.
So 2 x (8² ÷ 4) = 2 x 16 = 32.
The letter that corresponds to 32 is e, so this is the correct answer.
• Question 9

You have been given the following information: A = 81, B = 9, C = 17, D = 4, E = 6.

Which letter completes the equation: √A (D + E) - A = __?

B
EDDIE SAYS
The question tells us that A = 81, D = 4 and E = 6.
If we substitute these numbers for the letters in the equation then √A (D + E) - A = __ becomes √81 x (4 + 6) - 81 = __.
Using the rules of BIDMAS, we must work out the sum in the brackets first, then multiply this by the answer from the square root, before subtracting 81 from our total.
So √81 x (4 + 6) - 81 = 9 x 10 - 81 = 9.
The letter that corresponds to 9 is B, so this is the correct answer.
• Question 10

You have been given the following information: a = 36, b = 6, c = 25, d = 10, e = 110.

Which letter complete the equation: d (√a + √c) = __?

e
EDDIE SAYS
The question tells us that d = 10, a = 36 and c = 25.
If we substitute these numbers for the letters in the equation then d (√a + √c) = __ becomes 10 x (√36 + √25) = __.
Using the rules of BIDMAS, must work out the sum in the brackets first then multiply this answer by 10.
So 10 x (6 + 5) = 10 x 11 = 110.
The letter that corresponds to 110 is e, so this is the correct answer.
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