Starter quiz
- A product is the result when two or more numbers are __________ .
- added
- divided
- multiplied ✓
- subtracted
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- Which of the following is the product of 8 and 5?
- 3
- 12
- 13
- 40 ✓
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- Complete the statement. A numerical factor is __________ which exactly divides another.
- a cube
- a decimal
- a fraction
- an integer ✓
- a square
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- Match each word to its definition.
- Product⇔The result of two or more numbers multiplied together. ✓
- Square number⇔The product of two repeated integers ✓
- Cube number⇔The product of three repeated integers ✓
- Find the factors of 49
- 1, 7 and 49 ✓
- 49, 98, 147, 196, ...
- 1, 2, 24.5 and 49
- 7
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- Three students were given this calculation: . Who is correct?
- Aisha says ”the answer is 6 because 3 lots of 2 equals 6."
- Lucas says "6 because 2 multiplied by 2 is 4 and this multiplied by 2 is 6."
- Alex says "8 because 2 multiplied by 2 is 4 and this multiplied by 2 is 8." ✓
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Exit quiz
- Which calculations will give a square number?
-
- ✓
- ✓
-
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- Identify the list of square numbers.
- 1, 2, 3, 4, 5, 6, 7, 8 …
- 1, 4, 7, 10, 13, ….
- 1, 4, 9, 16, 25, 36, 49, … ✓
- 1, 2, 4, 8, 16, 32, 64, …
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- Identify the list of cube numbers.
- 1, 2, 3, 4, 5, 6, 7, 8 …
- 1, 8, 27, 64, 125, 216, … ✓
- 1, 4, 9, 16, 25, 36, 49, …
- 1, 3, 27, 81, 243, …
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- Who is correct?
- Andeep says " A square number can never be a cube number."
- Aisha says "A square number can be a cube number." ✓
- Jacob says "All cube numbers are odd."
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The sum of a square number and cube number is 141. Work out the cube number.- 1
- 8
- 27
- 64
- 125 ✓
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The sum of two different square numbers and a cube number is 77. Work out the cube number.- 1
- 8
- 27
- 64 ✓
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Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- A square number can be represented by dots making a square.
- A square number is the product of two identical integers.
- A cube number can be made into a cube.
- A cube number is the product of three identical integers.
Common misconception
Students think that all numbers are square numbers as you can square any integer.
A square is the product of 2 repeated integers.
Keywords
Square number - A square number is the product of two repeated integers.
Cube number - A cube number is the product of three repeated integers.
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