Factors, Area and Operations (1) ASSESSMENT

Level 3 / 1. Write the numbers in the boxes to make correct calculations

(2marks)
2. Stuart wants to plant 30 seeds. He can plant them in three rows of ten

(a) Draw a diagram to show how he can plant 30 seeds in two rows

(b) Draw a diagram to show how Stuart can plant the 30 seeds in a different number of rows.

(c) Fill in the table to show how Stuart can plant the 30 seeds


(5marks)
3. Complete the shading to make a rectangle with area 15cm2.

Level 3 to 5 START

Level 4 / 1. Is 6 a factor of 18? Explain how you know.

(1mark)
2. I am thinking of a number that is greater than 5. My number is a factor of 50. What could my number be?

(1mark)
3. For each number in the table, write a multiple of that number. Each multiple must be between 100 and 130. The first one is done for you.


(2marks)
4. Write in the missing numbers into these multiplication grids.

(3marks)
5. Thinking about orders of operation decide which of the answer is correct, explain your answer.


(2marks)
6. Work out the area of the rectangle:


(1mark)

Level 4 to 6 START

Level 5 / 1. I am thinking a number. My number is a multiple of 4. Tick the true statement below. Explain how you know your answer.


(1mark)
2. I am thinking of a different number. My number is a factor of 20. Tick the true statement below. Explain how you know your answer.


(1mark)
3. Marie wrote

Without doing the calculation how can you tell her answer is wrong?

(1mark)
4. Write the answers:


(b) Work out the answer to

(c) Put brackets in the calculation to make the answer 50.

(d) Now put brackets in the calculation to make the answer 34

(4marks)
5. Draw a triangle that has the same area as the rectangle:

(2marks)
6. Draw a rectangle that same area as the rectangle in the picture, but a different perimeter.

(1mark)

Level 5 to 7 START

Level 6 / 1. The triangle, square and rectangle below have the same area.

Work out the value of. Show your working.

Work out the value of. Show your working.

(4marks)
2. A rectangle has and ; if both sides are doubled how many of the original rectangles will fit into the new shape?


(1mark)
3. Using the areas of the surrounding triangle and the area of the square, work out the area of the triangle in the middle


(3marks)
4. Calculate:

(2marks)
Level 7 / 1. Look at the diagram of a cuboid. The volume of the cuboid is 100cm3. What could the values of and be? Give two possible pairs of values.


(3marks)
2. Write in the numbers into these multiplication grids:

(3marks)
3. A student notices that for most whole number values of, the expression is prime. Find a value of that does not make prime.

(1mark)
4. A number is called PERFECT if it is “equal to the sum of its factors, excluding the number”, for example: the number 6 is PERFECT because:.
The next perfect number is 28, by considering its factors, show why 28 is PERFECT.

(2marks)
5. Put brackets in the expression below so that its value is 45.024

(1mark)
A / B / C
3 / 4 / 5 / 7 / 8 / 9 / 10 / 11 / 12 / 13
4 / 5 / 6 / 14 / 15 / 16 / 17 / 18 / 19 / 20 / 21
5 / 6 / 7 / 22 / 23 / 24 / 25 / 26 / 27 / 28 / 29 / 30