Factors
Index Numbers
Square Numbers
Word Problems
Kate
100
Recall the factors of 12.
1, 2, 3, 4, 6, 12
100
How can I 'shortcut' 5 x 5 =
52
100
List 5 square numbers.
1, 4, 9, 16, 25
100
A mosaic artwork is made up of 16 equally sized squares, arranged into a grid pattern. The artwork’s sides are equal in length.
How many squares long is each side of the artwork?
4 squares long
100
What is my dog's name?
Snoop / Snoopy
200
1, 2, 3, 6, 9, 18 are the factors of which number?
18
200
Solve 110
1
200
What is the square root of 100?
10
200
I think of a number. I square it, add 12 and then subtract 16. The answer is 140. What was my number?
12
200
What was my favourite subject at school?
Maths
300
Find the prime factors of 30
5 x 3 x 2 = 30.
300
Expand 45 and solve.
4 x 4 x 4 x 4 x 4 = 1024
300
√121 + √64 =
11 + 8 = 19
300
Billy would like to put a fence around his square backyard. The area of his backyard is 144 metres squared. What is the total amount of fencing he will need in metres?
48m
300
What is my favourite sport?
Cricket
400
Explain how to factorise the number 81.
1. Use a factor tree to find the prime factors
2. 9 x 9 = 81
3. 3 x 3 = 9
4. Therefore 3 x 3 x 3 x 3 = 81
5. Which could also be written 34 = 81
400
If 27 is the answer, what could be the question?
33
32 x 3
25 - 5
42 + 11
400
Select the square root that is not equivalent to a whole number:
a) √33
b) √64
c) √81
d) √4
√33
400
The area of a square field is 90m2.
If someone runs 3 laps of the field, how far will they have run approximately?
The field is approx 9.5 x 9.5 =
Therefore 1 lap would be 9.5 x 4 = 38m
Therefore 3 laps would be 38 x 3 = 114m
400
What colour is my water bottle?
White
500
Draw a factor tree for 416. What are its prime factors?
2 x 2 x 2 x 2 x 2 x 13 = 416
500
How could you work out 132 without a calculator?
13 x 10 = 130
13 x 3 = 39
130 + 39 = 169
500
What two whole numbers is √32 in between.
5 and 6
500
You are trying to open a safe.
The code is a number between 49 and 64.
Clues:
The square root is closer to 8 than to 7
The number is even
The number is not a perfect square
Write down all the possible solutions.
58, 60, 62
500
How long have I worked at Arcadia?
2 years.