Core Mathematics

Question 1

1The base 8 number system uses the digits

Easy

A. 0 to 8 B. 0 to 9 C. 0 to 7 D. 1 to 8

Question 2

2Evaluate 31₄ × 13₄, giving the answer in base 4.

Hard

A. 403₄ B. 1133₄ C. 1123₄ D. 110₄

Question 3

3If 25 in base x equals 17 in base ten, then x = ___.

Medium

Your answer (fill in the blank)

Question 4

4Evaluate 52₆ + 13₆, giving the answer in base 6.

Hard

A. 110₆ B. 65₆ C. 105₆ D. 104₆

Question 5

5Evaluate 220₃ + 121₃, giving the answer in base 3.

Hard

A. 1111₃ B. 1112₃ C. 1110₃ D. 341₃

Question 6

6In base 2, 1 + 1 = 10.

Easy

A. True B. False

Question 7

7If 23ₓ = 13 (base ten), find x.

Medium

A. 7 B. 4 C. 5 D. 6

Question 8

8Evaluate 111₃ + 211₃, giving the answer in base 3.

Hard

A. 1100₃ B. 1022₃ C. 322₃ D. 1021₃

Question 9

9The place values in base 3 are

Easy

A. 3, 6, 9 B. 1, 3, 9, 27, … C. 1, 2, 4 D. 1, 10, 100

Question 10

10The smallest base in which 432 can be written is

Medium

A. base 2 B. base 3 C. base 4 D. base 5