Lesson 8.02a-d
8.02a-d Number bases and divisibility Quiz: OCR Further Maths, Unit 5
20 questions
In partnership with Revision Ninja
Lesson 8.02a-d, Number bases and divisibility: 20 multiple choice questions for the OCR Further Maths (H245), Unit 5: Additional Pure Mathematics (Y545), written with Revision Ninja.
Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.
The 20 questions
-
What is the base-10 equivalent of the binary number 1101?
- 12
- 11
- 13
- 15
-
Which letter digit represents the decimal value 11 in hexadecimal notation?
- C
- A
- B
- D
-
What is the base-10 value of the base-5 number 34?
- 19
- 34
- 17
- 22
-
A number in base b is divisible by b - 1 if what divides b - 1?
- Last digit
- Digit sum
- Product of digits
- Alternating digit sum
-
What is the sum of the binary numbers 101 and 11 expressed in binary?
- 100
- 1110
- 1000
- 110
-
In base 10, a number is divisible by 9 if and only if which sum divides 9?
- Alternating digit sum
- First digit sum
- Digit sum
- Product of digits
-
What is 25 in base 10 written as a ternary (base-3) number?
- 212
- 102
- 221
- 220
-
In base 10, a number is divisible by 4 if its last two digits form what?
- Multiple of 2
- Multiple of 8
- Sum of 4
- Multiple of 4
-
What is the product of 3 and 4 expressed in base 5?
- 20
- 22
- 12
- 24
-
What is the smallest positive integer base in which 100 represents the number 16?
- Base 8
- Base 2
- Base 4
- Base 16
-
In base b, what is the largest single digit value available?
- b + 1
- b - 1
- 10
- b
-
What is the base-8 (octal) representation of the decimal number 63?
- 77
- 63
- 75
- 100
-
A number written in base b is divisible by b if its last digit is what?
- 1
- Even
- 0
- b - 1
-
What is the hexadecimal representation of the decimal number 255?
- FF
- EE
- FE
- 100
-
In base 7, what is the value of the place value position four steps from the right?
- 343
- 700
- 49
- 243
-
A number written in base b is divisible by b + 1 if what divides b + 1?
- Last digit
- Product of digits
- Digit sum
- Alternating digit sum
-
Express the octal number 45 in base 10.
- 35
- 37
- 41
- 45
-
What is the binary representation of the decimal number 18?
- 10100
- 10010
- 10001
- 11010
-
In base 6, what is the result of 5 + 5 expressed in base 6?
- 15
- 12
- 14
- 10
-
How many distinct digits are needed to represent numbers in base 12?
- 12
- 11
- 10
- 13
Related quizzes
- Recurrence relations and properties of sequences Quiz · 8.01a-c · 20 questions
- Fibonacci numbers, solving recurrences and modelling Quiz · 8.01e-i · 20 questions
- Finite (modular) arithmetic and prime numbers Quiz · 8.02e-i · 20 questions
- Euclid's lemma, Fermat's little theorem and the binomial theorem Quiz · 8.02k-o · 20 questions
- Binary operations and the definition of a group Quiz · 8.03a-c · 20 questions
- Orders of elements, subgroups, cyclic groups and generators Quiz · 8.03e-h · 20 questions
- Structure of finite groups, Lagrange's theorem and isomorphism Quiz · 8.03i-m · 20 questions
- Vector product Quiz · 8.04a · 20 questions
- Surfaces, sections, contours and partial derivatives Quiz · 8.05a-d · 20 questions
- Stationary points and tangent planes Quiz · 8.05e-g · 20 questions