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Figurate Numbers / Practice
Remember that this is a “practise” worksheet so don’t be looking back to
notes.
1. Complete the sequence of square numbers.
1,4,9, ___, ____ ,____
2. Complete the sequence of cubed numbers.
1,8,27, ___, ___, ____
3. The TV programme guide is showing the length of certain programmes
for the Olympics.
Cycling
9
Rowing
6
Basketball
3
Soccer
4
Boxing
8
Fencing
4
Swimming
2
Weightlifting 5
a) Two sports show triangular numbers. What are they?
b) Which programmes show prime numbers?
c) Which sports have odd numbers?
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d) Which sport has the largest square number?
4. Write the prime numbers between 3 and 24 in the boxes below.
5. Write the numbers in the correct place on the chart. Make sure to only
use each number once. Cross it out when you insert it.
2
3
Prime
4
15
Square
Factor of 15
16
20
Multiple of 5
15
Even
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6. There are some numbers in a sequence.
2
4
7
11
16
22
29
37
a) Which of these numbers are prime numbers?
b) Which of the numbers are factors of 88?
c) What are the next two numbers in the sequence?
7. Fill in the next 3 triangular numbers.
1, 3, 6, 10, 15, ___ ,___ ,____
8. Circle the square numbers in the following sequence of numbers
12, 33, 44, 16, 9, 24, 100, 122, 111, 99, 30
9. Find two square numbers that will add up to 45
+
10. Look at the numbers below and circle the prime numbers.
7
4
25
13
81
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11. Put these numbers in the Venn diagram below.
25
10
7
36
75
Multiple of
5
Square
Numbers
12. Circle the Triangular number [s] in each row.
10
11
20
19
15
26
36
45
21
1
9
29
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13. Write the odd triangular numbers between 0 and 16
14. Write the even triangular numbers from 0 and 16.
15. Which is more: 7 squared plus 6 or 3 cubed plus 9?
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Answers
1) 16,25,36
2) 64,125,216
3)
a) Basketball and Rowing
b) Swimming, Basketball and Weightlifting
c) Basketball, Cycling, Weightlifting
d) Cycling
4) 5
5)
7
11
13
17
Prime
19
Square
Multiple of 5
3
Factor of 15
15
2
4
16
20
Even
6) 2
2
46
7
4
56
11
11
29
22
37
7) 21,28,36
8) 16,9,100
9) 36 and 9
10) 7,13
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7
11)
10 75
25
36
12) 10
15
36
45
21
1
13) 1
3
15
14) 6
10
15) 7 squared plus 6 will have the bigger product.
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