MATHS PROBLEMS

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Y6 Level 5: Mixed problems April 2010Y6 Level 5: Mixed problems April 2010

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Next PageHere is a circle with its centre at the point (1, 1)The point (1, 7) is on the circumference of the circle.

(1, 7)

(1, 1)

0 x

y insidethe circle

on thecircle

outsidethe circle

(3, 7)

Yes(7, 1)

(1, –7)

(–2, –2)

Is point (7,1):

A. Inside the circle

B. On the circle

C. Outside the circle

Next PageHere is a circle with its centre at the point (1, 1)The point (1, 7) is on the circumference of the circle.

(1, 7)

(1, 1)

0 x

y insidethe circle

on thecircle

outsidethe circle

(3, 7)

Yes(7, 1)

Yes (1, –7)

(–2, –2)

Is point (1,-7):

A. Inside the circle

B. On the circle

C. Outside the circle

Next PageHere is a circle with its centre at the point (1, 1)The point (1, 7) is on the circumference of the circle.

(1, 7)

(1, 1)

0 x

y insidethe circle

on thecircle

outsidethe circle

(3, 7)

Yes(7, 1)

Yes (1, –7)

Yes(–2, –2)

Is point (-2,-2):

A. Inside the circle

B. On the circle

C. Outside the circle

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What is the value of t in this equation?

33 – 8t = 15

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Here is a sequence of patterns made from octagons and squares.

num ber o f octagons ( )n

num ber o f squares ( )q

1

2

3

4

4

7

10

13

The sequence continues.How many squares will there be in the pattern that has 40 octagons?

Next Page Answer Key

Here is a sequence of patterns made from octagons and squares.

num ber o f octagons ( )n

num ber o f squares ( )q

1

2

3

4

4

7

10

13

q represents the number of squares.n represents the number of octagons.What is the rule connecting q and n?

Next Page Answer Key

Here is a sequence of patterns made from octagons and squares.

num ber o f octagons ( )n

num ber o f squares ( )q

1

2

3

4

4

7

10

13

q represents the number of squares.n represents the number of octagons.What is the rule connecting q and n?

(a) Award TWO marks for the correct answer of 121 Up to 2m

If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg

40 × 3 + 1Calculation need not be completed for the award of the mark.

(b) q = 3n + 1 1mAccept equivalent expressions, egq = n × 3 + 1q = n + n + n + 1q = 1 + n3Accept the answer in words, eg ‘q is 3 times n then add 1’.

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Here is a kite.

B (5, 6)

A(3, 4)

C

D

0 x

y

(10, 4)

Write the coordinates of point D.First coordinate =

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Here is a kite.

B (5, 6)

A(3, 4)

C

D

0 x

y

(10, 4)

Write the coordinates of point D.Second coordinate =

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PQ is a straight line.

What does X = ?

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What area would you like to have more practice on now?

(First choice)

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What area would you like to have more practice on now?

(Second choice)

LO: To revise work on mixed problems

I understand this idea fully.

I have some understanding but I need more practice.

I don’t understand this idea at all and need to work again on this unit of work.

A

B

C End of slide showEnd of slide show