L1T4 Number Bases

If y = 23₅ + 101₃ find y leaving your answer in base two

1110

Correct Incorrect Correct answer

10111

Correct Incorrect Correct answer

11101

Correct Incorrect Correct answer

111100

Correct Incorrect Correct answer

2. Calculate 243₆ — 243₅ expressing your answer in base 10

0

Correct Incorrect Correct answer

1

Correct Incorrect Correct answer

26

Correct Incorrect Correct answer

46

Correct Incorrect Correct answer

3. If 1011₂ + X₇, = 25₁₀, solve for X

14

Correct Incorrect Correct answer

20

Correct Incorrect Correct answer

24

Correct Incorrect Correct answer

25

Correct Incorrect Correct answer

4. Find x if 132_x = 70₈

5

Correct Incorrect Correct answer

3

Correct Incorrect Correct answer

6

Correct Incorrect Correct answer

1

Correct Incorrect Correct answer

5. The currency used in a country is called ‘Matimalik'(M) and is of base seven. A lady in that country bought 4 bags of rice at M56 per bag and 3 tins of milk at M4 per tin. What is the total cost of the item she bought?

Correct Incorrect Correct answer

6. If 12_e = X₇, where e = 12, find X

20

Correct Incorrect Correct answer

15

Correct Incorrect Correct answer

14

Correct Incorrect Correct answer

12

Correct Incorrect Correct answer

7. The sum of four numbers is 1214₅. What is the average expressed in base five?

114

Correct Incorrect Correct answer

141

Correct Incorrect Correct answer

401

Correct Incorrect Correct answer

411

Correct Incorrect Correct answer

8. Calculate 3310₅− 1442_{5. All options are in base 5}

1313

Correct Incorrect Correct answer

2131

Correct Incorrect Correct answer

4302

Correct Incorrect Correct answer

1103

Correct Incorrect Correct answer

9. If (K2)₆ * 3₆ = 3₅ (K4)₅, what is the value of k?

1

Correct Incorrect Correct answer

4

Correct Incorrect Correct answer

3

Correct Incorrect Correct answer

2

Correct Incorrect Correct answer

10. If X₁₀ = 1214₅ find X

124

Correct Incorrect Correct answer

121

Correct Incorrect Correct answer

184

Correct Incorrect Correct answer

180

Correct Incorrect Correct answer

L1T4 Number Bases

L1T4 Number Bases

QEFAS PREP November 20, 2023

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