 # Maths Codes Practice 2

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

The following activity is a practice exercise to help you measure your success under timed conditions.

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 = 17, C = 6, D = 9, E = 11.

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

A

B

C

D

E

You have been given the following information: a = 9, b = 6, c = 4, d = 15, e = 12.

Which letter completes the equation: d² ÷ (d + b + c) = __?

a

b

c

d

e

You have been given the following information: A = 20, B = 10, C = 4, D = 5, E = 18.

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

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 c) ÷ (b + a) = __?

a

b

c

d

e

You have been given the following information: A = 32, B = 9, C = 8, D = 7, E = 1.

Which letter completes the equation: √(A + B + C) = __?

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: e² ÷ c - d = __?

a

b

c

d

e

You have been given the following information: A = 32, B = 4, C = 30, D = 24, E = 14.

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

A

B

C

D

E

You have been given the following information: a = 4, b = 3, c = 9, d = 2, e = 29.

Which letter completes the equation: c² ÷ b + d = __?

a

b

c

d

e

You have been given the following information: A = 144, B = 18, C = 17, D = 4, E = 6.

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

A

B

C

D

E

You have been given the following information: a = 17, b = 5, c = 25, d = 10, e = 110.

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

a

b

c

d

e

• Question 1

You have been given the following information: A = 3, B = 17, C = 6, D = 9, E = 11.

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

CORRECT ANSWER
B
EDDIE SAYS
The question tells us that E = 11, D = 9, A = 3 and C = 6.
If we substitute these numbers for the letters in the equation then (E x D + A) ÷ C = __ becomes (11 x 9 + 3) ÷ 6 = __.
Using the rules of BIDMAS, we can tackle the steps of the calculation in exactly the order in which they have been written.
So (11 x 9 + 3) ÷ 6 = 102 ÷ 6 = 17.
The letter that corresponds to 17 is B, so this is the correct answer.
• Question 2

You have been given the following information: a = 9, b = 6, c = 4, d = 15, e = 12.

Which letter completes the equation: d² ÷ (d + b + c) = __?

CORRECT ANSWER
a
EDDIE SAYS
The question tells us that d = 15, b = 6 and c = 4.
If we substitute these numbers for the letters in the equation then d² ÷ (d + b + c) = __ becomes 15² ÷ (15 + 6 + 4) = __.
Using the rules of BIDMAS, we need to work out the sum in the brackets first, then the power (²), and then divide them by each other.
So (15 + 6 + 4) = 25. And 15² = 225.
225 ÷ 25 = 9.
The letter that corresponds to 9 is a, so this is the correct answer.
• Question 3

You have been given the following information: A = 20, B = 10, C = 4, D = 5, E = 18.

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

CORRECT ANSWER
E
EDDIE SAYS
The question tells us that A = 20, C = 4, D = 5 and B = 10.
If we substitute these numbers for the letters in the equation then A (C + D) ÷ B = __ becomes 20 x (4 + 5) ÷ 10 = __.
Using the rules of BIDMAS, we can tackle the brackets first, then multiply this answer to 20, and finally divide by 10.
So 20 x (4 + 5) ÷ 10 = 20 x 9 ÷ 10 = 180 ÷ 10 = 18.
The letter that corresponds to 18 is E, 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 c) ÷ (b + a) = __?

CORRECT ANSWER
c
EDDIE SAYS
The question tells us that d = 9, c = 7, b = 6 and a = 3.
If we substitute these numbers for the letters in the equation then (d x c) ÷ (b + a) = __ becomes (9 x 7) ÷ (6 + 3) = __.
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 7 = 63. And 6 + 3 = 9.
63 ÷ 9 = 7.
The letter that corresponds to 7 is 2, so this is the correct answer.
• Question 5

You have been given the following information: A = 32, B = 9, C = 8, D = 7, E = 1.

Which letter completes the equation: √(A + B + C) = __?

CORRECT ANSWER
D
EDDIE SAYS
The question tells us that A = 32, B = 9 and C = 8.
If we substitute these numbers for the letters in the equation then √(A + B + C) = __ becomes √(32 + 9 + 8) = __.
Using the rules of BIDMAS, we must tackle the brackets first, then find the square root of our answer.
So √(32 + 9 + 8) = √49 = 7.
The letter that corresponds to 7 is D, 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: e² ÷ c - d = __?

CORRECT ANSWER
a
EDDIE SAYS
The question tells us that e = 12, c = 6 and d = 8.
If we substitute these numbers for the letters in the equation then e² ÷ c - d = __ becomes 12² ÷ 6 - 8 = __.
Using the rules of BIDMAS, we need to work out the power (²) first, then divide this answer by 6, and finally subtract 8.
So 12² ÷ 6 - 8 = 144 ÷ 6 - 8 = 24 - 8 = 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 = 30, D = 24, E = 14.

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

CORRECT ANSWER
C
EDDIE SAYS
The question tells us that D = 24, E = 14, A = 32 and B = 4.
If we substitute these numbers for the letters in the equation then D + E - A ÷ B = __ becomes 24 + 14 - 32 ÷ 4 = __.
Using the rules of BIDMAS, we must tackle the division first. So 32 ÷ 4 = 8.
We can then work through the remainder of the sum as it has been written, replacing the division with the number 8. So 24 + 14 - 8 = 30.
The letter that corresponds to 30 is C, so this is the correct answer.
• Question 8

You have been given the following information: a = 4, b = 3, c = 9, d = 2, e = 29.

Which letter completes the equation: c² ÷ b + d = __?

CORRECT ANSWER
e
EDDIE SAYS
The question tells us that c = 9, b = 3 and d = 2.
If we substitute these numbers for the letters in the equation then c² ÷ b + d = __ becomes 9² ÷ 3 + 2 = __.
Using the rules of BIDMAS, we can work through the calculation in the exact order it has been written.
So 9² ÷ 3 + 2 = 81 ÷ 3 + 2 = 27 + 2 = 29.
The letter that corresponds to 29 is e, so this is the correct answer.
• Question 9

You have been given the following information: A = 144, B = 18, C = 17, D = 4, E = 6.

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

CORRECT ANSWER
B
EDDIE SAYS
The question tells us that A = 144, D = 4, E = 6, C = 17.
If we substitute these numbers for the letters in the equation then √A (D + E) - (E x C) = __ becomes √144 (4 + 6) - (6 x 17) = __.
Using the rules of BIDMAS, we must tackle the two sets of brackets first, then multiply the first bracket by the square root and subtract the answer to the second bracket.
So (4 + 6) = 10. And (6 x 17) = 102.
If we substitute these numbers into the rest of the calculation, we reach √144 x 10 - 102 = __.
If we calculate the square root, we get 12. If we substitute that in the sum becomes 12 x 10 - 102 = 120 - 102 = 18.
The letter that corresponds to 18 is B, so this is the correct answer.
• Question 10

You have been given the following information: a = 17, b = 5, c = 25, d = 10, e = 110.

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

CORRECT ANSWER
a
EDDIE SAYS
The question tells us that e = 110, c = 25, b = 5 and d = 10.
If we substitute these numbers for the letters in the equation then (e + c) ÷ b - d = __ becomes (110 + 25) ÷ 5 - 10 = __.
Using the rules of BIDMAS, must work out the sum in the brackets first then divide this answer by 5 and finally subtract 10.
So (110 + 25) ÷ 5 - 10 = 135 ÷ 5 - 10 = 27 - 10 = 17.
The letter that corresponds to 17 is a, so this is the correct answer.
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