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Which grade are you…..?
Sequences : Higher
The nth term of a sequence is 4n + 3.
2 Alice says that the 10th term is double the 5th term.
Is she correct? Show how you decide.
Grade D
1 Write down the first three terms of the sequence whose nth term is n 2 - 5
3 Write down the nth term of the following sequences
a) 4, 11, 18, 25, …..
b) 6, 9, 12, 15, …..
4 Look at the sequences of fractions
a) Write down the next term
b) Write down the nth term for the sequence.
Grade C
c) 95, 90, 85 , 80, …….
5 Here are three numbers 36, 42, 49.
Give a reason why each number could be the odd one out.
7 Four numbers add up to 80.
The numbers form part of a sequence.
Each number in the sequence is three times the number before it.
Work out the largest number.
www.mathsbox.org.uk
Grade B
6 Express 120 as a product of primes in index form.
Which grade are you…..?
Sequences : Higher
1 Write down the first three terms of the sequence whose nth term is n2 - 5
-4, -1, 4 
Grade D
2 The nth term of a sequence is 4n + 3.
Alice says that the 10th term is double the 5th term.
Is she correct? Show how you decide.
5th term = 4 x 5 + 3 = 23 
Double 5th term = 46 
10th term = 4 x 10 + 3 = 43 
No she is not correct 
3 Write down the nth term of the following sequences
a) 4, 11, 18, 25, ….. 7n - 3 
b) 6, 9, 12, 15, ….. 3n + 3 
c) 95, 90, 85 , 80, ……. 100 - 5n 
a) Write down the next term
Grade C
4 Look at the sequences of fractions

b) Write down the nth term for the sequence.

5 Here are three numbers 36, 42, 49.
Give a reason why each number could be the odd one out. 
7 Four numbers add up to 80.
The numbers form part of a sequence.
Each number in the sequence is three times the number before it.
Work out the largest number. 54 
www.mathsbox.org.uk
25 Marks
Grade B
6 Express 120 as a product of primes in index form.
2 x 2 x 2 x 3 x 5 = 23 x 3 x 5 
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