NAME: ________________________________________ CLASS: ______________________
1
1. Here is a sequence.
7, 11, 15, 19, 23, ……
Find the next two terms of the sequence.
…………………… , ………………. [2]
2. Given that E = {x : 1 ≤ 𝑥 ≤ 20, x is an integer}, A = {𝑥: 𝑥 is a factor of 20},
B = {𝑥: 𝑥 is a multiple of 4} and C = {𝑥: 𝑥 is a square number}.
(a)List the elements of the following sets.
A= ………………………………………………………………………………
B= ………………………………………………………………………………
C= ………………………………………………………………………………
[3]
…………………………………………..[1]
(b)Find the elements of A ∩ B
3. Write down a common multiple of 18 and 24.
…………………………………………[1]
2
4. Work out
1
4
8
+
1
÷
4
3
5
9
Give your answer as a mixed number in its simplest form.
…………………………..[3]
5. Write each of these expressions in the correct column in the table.
3
4
(− 2)
3
3
8
(− 5)
2
3
One has been done for you.
Equivalent to a natural number
Not equivalent to a natural number
3
4
[4]
3
6. Use the numbers in the box to complete the sentences.
19
6
19
2
8
π
…………………………… and ………………………………. are irrational numbers.
…………………………… and ………………………………. are rational numbers.
7. Write down the value of
7
3
[4]
3
×5× 7
…………………………….[1]
8. Setah uses a term-to-term rule to work out a sequence.
Here are the first four terms.
23
29
35
41
(a)Write down the term-to-term rule.
………………………………………………………………………….………..[1]
(b)Work out the 10th term of the sequence.
10th term = ……………………...[2]
4
9. Elvin has 6 number cards.
(a) Which two of Elvin’s numbers are prime numbers?
…………………………and………………………..[2]
(b) Explain why 51 is not a prime number.
………………………………………………………………………………………
…………………………………………………………………………………...[1]
10. Given that E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {even numbers}, B = {1, 2, 3,6} and C
= {2, 3, 5, 7}. Find n(A U C).
…………………………………………………...[1]
11.Draw rings around all the cube numbers.
6
8
9
36
64
[2]
12.Calculate the value of n(A) for each of the sets shown below:
a) A = {x: x is an integer and 5 ≤ 𝑥 ≤ 10 }
…………………………………………………………………………………. [1]
b) A = {days of the week}
…………………………………………………..….………………………..… [1]
5
0
