Properties of numbers: question bank

Q1

FoundationClosure

Which of these is not a whole number?

0157 − 99 − 7

Q2

FoundationClosure

True or false: the sum of any two whole numbers is always a whole number.

TrueFalse

Q3

FoundationClosure

Which is the smallest whole number?

10−1There is none

Q4

CoreClosure

Which example shows that whole numbers are not closed under division?

12 ÷ 4 = 30 ÷ 7 = 010 ÷ 4 = 2½9 ÷ 9 = 1

Q5

CoreClosure

Natural numbers are closed under which operations? (Choose all that apply.)

Choose all that apply.

AdditionSubtractionMultiplicationDivision

Q6

CoreClosure

Which set is closed under multiplication but not under addition?

Even numbersOdd numbersMultiples of 10Whole numbers

Q7

StretchClosure

Is the set of square numbers (1, 4, 9, 16, …) closed under multiplication?

Yes, because (a × a) × (b × b) = (a × b) × (a × b)No, because 4 × 9 = 36 is not a squareNo, because 1 + 4 = 5 is not a squareOnly for even squares

Q8

StretchClosure

Which family is closed under subtraction?

Natural numbersWhole numbersIntegersOdd numbers

Q9

FoundationCommutative property

Which shows the commutative property of addition?

6 + 9 = 9 + 6(6 + 9) + 1 = 6 + (9 + 1)6 + 0 = 66 × 9 = 9 × 6

Q10

FoundationCommutative property

Riya sets out 8 rows of 7 chairs. Arjun turns the arrangement round to 7 rows of how many chairs, keeping the same total?

Your answer

Q11

FoundationCommutative property

True or false: 15 − 6 = 6 − 15.

TrueFalse

Q12

CoreCommutative property

For which operations is a ∗ b = b ∗ a true for all whole numbers? (Choose all that apply.)

Choose all that apply.

AdditionSubtractionMultiplicationDivision

Q13

CoreCommutative property

If 347 × 26 = 9,022, what is 26 × 347?

Your answer

Q14

CoreCommutative property

For which whole numbers a and b is a − b = b − a?

NeverOnly when a = bOnly when b = 0Always

Q15

CoreCommutative property

Count on from the bigger number: 4 + 89 = ?

Your answer

All 85 questions