Each question uses a code in which letters stand for numbers, for example L=6, M=11, N=3, P=8, Q=14. Use these values to work out the calculation given, then select the option, A) to E), whose letter matches your result. When a calculation involves more than one operation, apply the order of operations: work out any brackets first, then multiplication and division, then addition and subtraction. Each question has only one correct answer.
Worked example. L=6, M=11, N=3, P=8, Q=14. Work out M - N + L. Which letter has this value? Answer: Q. Working left to right (only addition and subtraction are involved, so the order does not change the result): M - N + L = 11 - 3 + 6 = 14. Since Q = 14, the letter Q has this value, so Q is correct.
1
L=3, M=4, N=7, P=11, Q=18. Work out L + M. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 1 is 1 mark)
2
L=6, M=8, N=14, P=22, Q=36. Work out L + M. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 2 is 1 mark)
3
L=4, M=7, N=11, P=18, Q=29. Work out P - M. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 3 is 1 mark)
4
L=5, M=9, N=14, P=23, Q=37. Work out L + M. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 4 is 1 mark)
5
L=7, M=10, N=3, P=14, Q=20. Work out L + M - N. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 5 is 1 mark)
6
L=6, M=15, N=4, P=24, Q=10. Work out L x N. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 6 is 1 mark)
7
L=7, M=4, N=9, P=28, Q=36. Work out M x N. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 7 is 1 mark)
8
L=3, M=5, N=6, P=33, Q=48. Work out L + M x N. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 8 is 1 mark)
9
L=20, M=3, N=4, P=8, Q=68. Work out L - M x N. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 9 is 1 mark)
10
L=5, M=18, N=6, P=8, Q=3. Work out L + (M / N). Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 10 is 1 mark)
11
L=4, M=9, N=2, P=22, Q=54. Work out L + N x M. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 11 is 1 mark)
12
L=3, M=4, N=30, P=18, Q=108. Work out N - L x M. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 12 is 1 mark)
13
L=8, M=12, N=4, P=14, Q=5. Work out M + (L / N). Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 13 is 1 mark)
14
L=11, M=18, N=7, P=36, Q=29. Work out L + M + N. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 14 is 1 mark)
15
L=60, M=22, N=9, P=29, Q=47. Work out L - M - N. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 15 is 1 mark)
16
L=3, M=4, N=5, P=60, Q=17. Work out L x M x N. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 16 is 1 mark)
17
L=8, M=5, N=6, P=78, Q=38. Work out (L + M) x N. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 17 is 1 mark)
18
L=90, M=3, N=25, P=5, Q=75. Work out L / M - N. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 18 is 1 mark)
19
L=8, M=5, N=9, P=53, Q=117. Work out L + M x N. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 19 is 1 mark)
20
L=24, M=6, N=48, P=44, Q=4. Work out N - (L / M). Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 20 is 1 mark)
21
L=8, M=12, N=4, P=5, Q=11. Work out (L + M) / N. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 21 is 1 mark)
22
L=9, M=6, N=4, P=3, Q=57. Work out (L + M) x N - P. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 22 is 1 mark)
23
L=8, M=6, N=4, P=5, Q=17. Work out (L x M) / N + P. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 23 is 1 mark)
24
L=72, M=8, N=4, P=1, Q=5. Work out (L / M) - (N x P). Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 24 is 1 mark)
25
L=8, M=5, N=6, P=10, Q=210. Work out L x M - M x N. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 25 is 1 mark)
26
L=80, M=4, N=6, P=3, Q=72. Work out (L / M + N) x P - N. Which letter has this value?
A) L
B) M
C) N
D) P
E) Q
(Total for Question 26 is 1 mark)
Mark scheme · EP.V19B Letters for Numbers: Practice Set 2
Question 1
B1 C) N - L + M = 3 + 4 = 7, and N = 7 (cao)
Answer: C) N
Question 2
B1 C) N - L + M = 6 + 8 = 14, and N = 14 (cao)
Answer: C) N
Question 3
B1 C) N - P - M = 18 - 7 = 11, and N = 11 (cao)
Answer: C) N
Question 4
B1 C) N - L + M = 5 + 9 = 14, and N = 14 (cao)
Answer: C) N
Question 5
B1 D) P - L + M - N = 7 + 10 - 3 = 14, and P = 14 (cao)
Answer: D) P
Question 6
B1 D) P - L x N = 6 x 4 = 24, and P = 24 (cao)
Answer: D) P
Question 7
B1 E) Q - M x N = 4 x 9 = 36, and Q = 36 (cao)
Answer: E) Q
Question 8
B1 D) P - by BODMAS, multiply first: L + (M x N) = 3 + (5 x 6) = 3 + 30 = 33, and P = 33 (cao)
Answer: D) P
Question 9
B1 D) P - by BODMAS, multiply first: L - (M x N) = 20 - (3 x 4) = 20 - 12 = 8, and P = 8 (cao)
Answer: D) P
Question 10
B1 D) P - divide first: L + (M / N) = 5 + (18 / 6) = 5 + 3 = 8, and P = 8 (cao)
Answer: D) P
Question 11
B1 D) P - by BODMAS, multiply first: L + (N x M) = 4 + (2 x 9) = 4 + 18 = 22, and P = 22 (cao)
Answer: D) P
Question 12
B1 D) P - by BODMAS, multiply first: N - (L x M) = 30 - (3 x 4) = 30 - 12 = 18, and P = 18 (cao)
Answer: D) P
Question 13
B1 D) P - divide first: M + (L / N) = 12 + (8 / 4) = 12 + 2 = 14, and P = 14 (cao)
Answer: D) P
Question 14
B1 D) P - L + M + N = 11 + 18 + 7 = 36, and P = 36 (cao)
Answer: D) P
Question 15
B1 D) P - working left to right: L - M - N = 60 - 22 - 9 = 29, and P = 29 (cao)
Answer: D) P
Question 16
B1 D) P - L x M x N = 3 x 4 x 5 = 60, and P = 60 (cao)
Answer: D) P
Question 17
B1 D) P - brackets first: (L + M) x N = (8 + 5) x 6 = 13 x 6 = 78, and P = 78 (cao)
Answer: D) P
Question 18
B1 D) P - divide first: L / M - N = (90 / 3) - 25 = 30 - 25 = 5, and P = 5 (cao)
Answer: D) P
Question 19
B1 D) P - by BODMAS, multiply first: L + (M x N) = 8 + (5 x 9) = 8 + 45 = 53, and P = 53 (cao)
Answer: D) P
Question 20
B1 D) P - divide first: N - (L / M) = 48 - (24 / 6) = 48 - 4 = 44, and P = 44 (cao)
Answer: D) P
Question 21
B1 D) P - brackets first: (L + M) / N = (8 + 12) / 4 = 20 / 4 = 5, and P = 5 (cao)
Answer: D) P
Question 22
B1 E) Q - brackets first, then multiply, then subtract: (L + M) x N - P = (9 + 6) x 4 - 3 = 15 x 4 - 3 = 60 - 3 = 57, and Q = 57 (cao)
Answer: E) Q
Question 23
B1 E) Q - multiply and divide first, then add: (L x M) / N + P = (8 x 6) / 4 + 5 = 48 / 4 + 5 = 12 + 5 = 17, and Q = 17 (cao)
Answer: E) Q
Question 24
B1 E) Q - work out each bracket first, then subtract: (L / M) - (N x P) = (72 / 8) - (4 x 1) = 9 - 4 = 5, and Q = 5 (cao)
Answer: E) Q
Question 25
B1 D) P - by BODMAS, both multiplications first, then subtract: (L x M) - (M x N) = (8 x 5) - (5 x 6) = 40 - 30 = 10, and P = 10 (cao)
Answer: D) P
Question 26
B1 E) Q - work out the bracket first (dividing before adding inside it), then multiply, then subtract: (L / M + N) x P - N = (80 / 4 + 6) x 3 - 6 = (20 + 6) x 3 - 6 = 26 x 3 - 6 = 78 - 6 = 72, and Q = 72 (cao)