©TeeJay Publishers Jan 2011 Page 1 Level 2 MTH 2-13a

Mathematics Assessment (CfE) - Level 2

(MTH 2 - 13a)Having explored more complex number sequences, including well-known named number patterns, I can explain the rule used to generate the sequence, and apply it to extend the pattern.

1. Write down the next two numbers in these sequences :-

a 3, 8, 13, 18, ...... b 8000, 4000, 2000, ......

c 26, 28, 32, 38, ...... d 1, 4, 5, 9, 14, ......

2 a Write down all the square numbers between 40 and 90.

b What is the fifth triangular number ?

3. Look at the cost of buying calculators for a maths class.

a Copy and complete the table to show the cost of buying calculators.

b The total cost is how many times the number of calculators ?

c Write a formula connecting T and C using symbols.

d Use your formula to find the cost of 30 calculators.

4. For each of these tables, determine a formula connecting the pairs of letters :-

a

b

1 calculatorcost = £7

2 calculatorscost = £14

3 calculatorscost = £ ?

4 calculatorscost = £ ?

No. of Calcs (C) 1 2 3 4 5 10

Total cost (T) 7

No. of Pounds (P) 1 2 3 4 5 6

No. of Euros (E) ? 2·3 3·45 4·6 ? ?E = ........

No. of muffins (M) 1 2 3 4 5 6

Grams of flour (G) 120 240 360 ? ? ?G = ........

©TeeJay Publishers Jan 2011 Page 2 Level 2 MTH 2-13a

5. In a school dining room, wooden benches are placed around the dining tables.

Here is what the dining area looks like when two tables and three tables are set up.

a Draw a sketch to show how benches would be arranged around a line of 4 tables.

b Copy and complete the table to show how many tables go with the benches.

c Write down a formula for finding the number of benches required when you know how many tables there are.

B = ? x T + ?

d Use your formula to find how many benches are needed for 20 tables.

6. Shown below are two tables of values connecting pairs of letters.

Write down a formula or rule connecting the second letter in the table to the first letter.

a b

7. A rule for finding the number of boards (B) required when you know the number of fence posts (P) is .....

a If there are 50 fence posts, how many boards will be required ?

b If there are 56 boards, how many fence posts will be required ?

B = 4P – 4

No. of Tables (T) 1 2 3 4 5 8

No of Benches (B) 7

Trees (T) 1 2 3 4

Apples (A) 60 110 160 210

A = ...................

Time (T) 1 2 3 4 Height (H) 2 8 14 20

H = ..................

post board

bench

table

2 tables 3 tables