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17. I can describe and use a rule for a spatial patterns. e.g. Describe a rule connecting the number of sticks required to the number of triangles, and use this to find the number of sticks for 20 triangles.

18. I can complete a table of values for a given rule. e.g. Fill out the table for the rule output = (3 × input) + 1

19. I can find a rule for a table of values. e.g. Find the rule for the table of values shown.

20. I can plot points on a number plane. e.g. Plot the points A(2, 5), B(4, 3) and C(0, 2)

21. I can draw a graph of a rule by completing a table of values. e.g. For the rule output(y) = input(x) + 1, construct a table of values using input values of 0, 1, 2 and 3. Use the table of coordinates to plot a graph.

Short-answer questions

1 a Find the complete set of factors of 120 and circle those that are composite numbers.

b Determine three numbers between 1000 and 2000 that each have factors 1, 2, 3, 4, 5 and itself.

2 a Write down the first 12 multiples for each of 8 and 7 and circle the odd numbers.

b Which two prime numbers less than 20 have multiples that include both 1365 and 1274?

3 a Find the HCF of the following pairs of numbers. i 15 and 40 ii 18 and 26 iii 72 and 96 b Find the LCM of the following pairs of numbers. i 5 and 13 ii 6 and 9 iii 44 and 8

4 a State whether each of these numbers is a prime or composite number. 21, 30, 11, 16, 7, 3, 2 b How many prime multiples are there of 13? b Determine three composite numbers less than 100, each with only three factors that are all prime numbers less than 10 b Use divisibility rules to determine a 10-digit number that is divisible by 3, 5, 6 and 9 c Determine a six-digit number that is divisible by

5 a State the prime factors of 770.

6 Simplify these expressions by writing them in index form.

7 Write these numbers as a product of prime numbers. Use a factor tree and then index form.

8 Determine which number to the power of 5 equals each of the following.

9 Evaluate each of the following.

10 Determine whether the following calculations are possible without leaving a remainder.

11 a Carry out divisibility tests on the given number and fill in the table with ticks or crosses. State the explanation for each result.