2000 mathematics paper b

2000 MATHS PAPER B

Mathematics Paper 2000 BInput your name and press send.

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Mathematics Paper 2000 B Q1(out of 22)

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3 6 0 1 2 5

3 4 0

4 4 0

4 7 5

3 2 5

2 2 5

Which two other numbers give a total of 700?

A

B

CD

E


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Which number is nearest in value to 750?

A.570

B.699

C.810

D.852

E. 1050

Mathematics Paper 2000 B Q3a(out of 22)

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1 1 : 1 0

2 : 5 5

1 : 4 0

8 : 1 0

6 : 3 5

7 : 3 5

Here are three clocks. Which digital time is shown on clock 2?

1

2

3

A. 11.10

B. 2.55

C. 1.40

D. 8.10

E. 6.35

F. 7.35

Mathematics Paper 2000 B Q3b(out of 22)

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1 1 : 1 0

2 : 5 5

1 : 4 0

8 : 1 0

6 : 3 5

7 : 3 5

Here are three clocks. Which digital time is shown on clock 3?

1

2

3

A. 11.10

B. 2.55

C. 1.40

D. 8.10

E. 6.35

F. 7.35


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60 + 99 + ? = 340

What is the missing number?


Next Page60 + 99 + ? = 340

What is the missing number?

Keep It Simple Stupid!

1 + 2 + ? = 6

? = 3 so what did you do with 1, 2 and 6 to get 3?

You re-arranged the sum so ? = 6 – (1+2)

Now do the same with the actual numbers:

? = 340 – (60+99) this gives ? = 340 – (159)

? = 181


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A shop sells postcards in packs of 6 and packs of 8.

Alan bought 4 packs of 8 cards.How many cards did he get?


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A shop sells postcards in packs of 6 and packs of 8.

Shereen bought some packs of 6 cards.Altogether she has 30 cards.

How many packs of 6 did she buy?


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m i r r o r l i n e

Draw the reflection of the shape in the mirror line.

Pen tool


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m i r r o r l i n e

Draw the reflection of the shape in the mirror line.

Pen tool

4 dots long


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Write two numbers, each greater than 100, to complete this subtraction.

- = 2 0 8


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Write two numbers, each greater than 100, to complete this subtraction.

- = 2 0 8


What is the best KISS answer?

309 – 101?


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These are the opening times at a swimming pool.

M o n d a y

T u e s d a y

W e d n e s d a y

T h u r s d a y

F r i d a y

S a t u r d a y

S u n d a y

1 0 : 3 0

1 0 : 3 0

1 0 : 3 0

8 : 0 0

7 : 0 0

t o

t o

t o

t o

t o

5 : 3 0

8 : 3 0

9 : 0 0

6 : 0 0

4 : 0 0

o p e n i n g t i m e s

a m p m

P o o l c l o s e d

How many hours is the pool open on a Sunday?


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M o n d a y

T u e s d a y

W e d n e s d a y

T h u r s d a y

F r i d a y

S a t u r d a y

S u n d a y

1 0 : 3 0

1 0 : 3 0

1 0 : 3 0

8 : 0 0

7 : 0 0

t o

t o

t o

t o

t o

5 : 3 0

8 : 3 0

9 : 0 0

6 : 0 0

4 : 0 0


a m p m

P o o l c l o s e d

Which day has the latest closing time out of?

B. MondayC. TuesdayD. WednesdayE. ThursdayF. FridayG. Saturday

Mathematics Paper 2000 B Q8c(out of 22)

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M o n d a y

T u e s d a y

W e d n e s d a y

T h u r s d a y

F r i d a y

S a t u r d a y

S u n d a y

1 0 : 3 0

1 0 : 3 0

1 0 : 3 0

8 : 0 0

7 : 0 0

t o

t o

t o

t o

t o

5 : 3 0

8 : 3 0

9 : 0 0

6 : 0 0

4 : 0 0


a m p m

P o o l c l o s e d

Habib arrives at the pool at 5:20pm on Saturday.How many minutes is it before the pool closes?


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Chris saves 50p coins.He has saved 45 of them.

How much money has Chris saved?{Answer using the decimal}


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Michelle has saved £8.40 in 20p coins.How many 20p coins does Michelle have?


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Michelle has saved £8.40 in 20p coins.How many 20p coins does Michelle have?


? x 2p = 6

? = 3 so what did you do with 2 and 6 to get 3?

You divided so ? = 6 ÷ 2

Now do the same with the actual numbers:

? = 8.40 ÷ 20

? = 42


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Answer key

This bar chart shows how many people went to a school play.

1 6 0

1 4 0

1 2 0

1 0 0

8 0

6 0

4 0

2 0

0T u e s W e d T h u r F r i

N u m b e ro f

p e o p l e

Estimate the number of people who went there onThursday and Friday altogether.


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1 6 0

1 4 0

1 2 0

1 0 0

8 0

6 0

4 0

2 0


N u m b e ro f

p e o p l e

Estimate the number of people who went there onThursday and Friday altogether.

(a) A number in the range of 270 to 280 inclusive.


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1 6 0

1 4 0

1 2 0

1 0 0

8 0

6 0

4 0

2 0


N u m b e ro f

p e o p l e

Each person paid £2.25 for a ticket to get in.

How much ticket money was collected

on Wednesday?

S c h o o l P l a y£ 2 . 2 5


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On the grid, draw a rectangle which has the same area as this shaded pentagon.Use a ruler.

Pen tool


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On the grid, draw a rectangle which has the same area as this shaded pentagon.Use a ruler.

Any rectangle with an area of 14 squares, eg

Rectangle need not be shaded or coincident with the grid lines. Accept extensions to the grid to allow, for example, a 14 × 1 rectangle.

Accept slight inaccuracies in drawing provided the intention is clear.



Nadia is working with whole numbers.She says,'If you add a two-digit number

to a two-digit numberyou cannot get a four-digit number'.

Is she correct?

Q12b Explain why.


Next Page Nadia is working with whole numbers.She says, 'If you add a two-digit number to a two-digit number

you cannot get a four-digit number'. Is she correct?

Q12b Explain why.

Explanation which recognises that the largest two-digit number (99) addedto itself only gives a three-digit number (198), eg· ‘Because if you do 99 + 99 you only get a three-digit number’;· ‘If you add any 2 two-digit numbers, you will get a three-digit number or atwo-digit number’.

No mark is awarded for circling the ‘Yes’ alone.Do not accept vague or arbitrary explanations such as

· ‘The numbers aren’t big enough’;· ‘It doesn’t work’.

If ‘No’ is circled but a correct unambiguous explanation isgiven then award the mark.


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Which are the nets of a square based pyramid?

A B

C D


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Which are the nets of a square based pyramid?

A B

C D


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Here is part of a number line.What is the number shown by the arrow?

9 9 7 9 9 8 9 9 9


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Here is part of a number line.What is the number shown by the arrow?

9 9 7 9 9 8 9 9 9 1000 1001

997.5 998.5 999.5

1000.5


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Here is a shaded shape on a grid.The shape is rotated 90° clockwise about point A.

Draw the shape in its new position on the grid.You may use tracing paper.

A

Pen tool


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Here is a shaded shape on a grid.The shape is rotated 90° clockwise about point A.

Draw the shape in its new position on the grid.You may use tracing paper.

A

Clockwise =

90 degrees =


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Calculate 60% of 765.

Mathematics Paper 2000 B Q16(out of 22)Next Page

Calculate 60% of 765.

Best method?

1% of 765 = 7.65

60 lots of 1% = 60 x 7.65

= 459

Use decimal fractions

60% = 0.60

0.6 x 765

= 459


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Where would the tick go for each calculation?The first one has been done for you.

8 . 9 × 9 . 9 × 1 1 . 9

( 7 8 6 – 3 8 7 ) ÷ 0 . 4 1

9 5 . 4 + ( 9 1 × 9 . 9 5 )

1 2 . 5 × ( 2 1 . 1 + 5 8 . 9 )

l e s s t h a n1 0 0 0

e q u a l t o1 0 0 0

m o r e t h a n1 0 0 0

A B C


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8 . 9 × 9 . 9 × 1 1 . 9

( 7 8 6 – 3 8 7 ) ÷ 0 . 4 1

9 5 . 4 + ( 9 1 × 9 . 9 5 )

1 2 . 5 × ( 2 1 . 1 + 5 8 . 9 )

l e s s t h a n1 0 0 0

e q u a l t o1 0 0 0

m o r e t h a n1 0 0 0

A B C


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8 . 9 × 9 . 9 × 1 1 . 9

( 7 8 6 – 3 8 7 ) ÷ 0 . 4 1

9 5 . 4 + ( 9 1 × 9 . 9 5 )

1 2 . 5 × ( 2 1 . 1 + 5 8 . 9 )

l e s s t h a n1 0 0 0

e q u a l t o1 0 0 0

m o r e t h a n1 0 0 0

A B C

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n stands for a number.Complete this table of values.

n 5 n – 2

20 ?


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n stands for a number.Complete this table of values.

n 5 n – 2

20

?

9838



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Carol went on a 40-kilometre cycle ride.This is a graph of how far she had gone at different times.

4 0

3 0

2 0

1 0

00 2 0 4 0 6 0 8 0 1 0 0 1 2 0 1 4 0

d i s t a n c et r a v e l l e d

i n k m

t i m e i n m i n u t e s

How many minutes did Carol take to travel the last 10 kilometres of the ride?

Pen tool?




4 0

3 0

2 0

1 0

00 2 0 4 0 6 0 8 0 1 0 0 1 2 0 1 4 0


i n k m


Pen tool?

Use the graph to estimate the distance travelled in the first 20 minutes of the ride.




4 0

3 0

2 0

1 0

00 2 0 4 0 6 0 8 0 1 0 0 1 2 0 1 4 0


i n k m


Use the graph to estimate the distance travelled in the first 20 minutes of the ride.

(b) Answers in the range 12 to 13km inclusive.

Mathematics Paper 2000 B Q19c (out of 22)



4 0

3 0

2 0

1 0

00 2 0 4 0 6 0 8 0 1 0 0 1 2 0 1 4 0


i n k m


Carol says,'I travelled further

in the first hour then in the

second hour'.Explain how the

graph shows this.

Mathematics Paper 2000 B Q19c (out of 22)

Next Page Carol went on a 40-kilometre cycle ride.This is a graph of how far she had gone at different times.

4 0

3 0

2 0

1 0

00 2 0 4 0 6 0 8 0 1 0 0 1 2 0 1 4 0


i n k m


Carol says,'I travelled further

in the first hour then in the

second hour'.Explain how the

graph shows this.

(c) An explanation which indicates that after 1 hour she has travelled morethan 20km and/or she has travelled less than 20km in the second hour, eg

· ‘She did about 40 km and it was about 22 in the first hour’;· ‘Half and half would be 20-20, but she does more than 20 then less than 20’;· ‘It goes to 23 in the first hour’.

Do not accept vague or arbitrary explanations, eg· ‘She got tired in the second half’;· ‘It’s marked on the graph’;· ‘There’s more crosses in the first hour than the second’;· ‘The gaps are further apart’.


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Here is a shape on a square grid.

A

BC

D

For each statement answer True or FalseAngle C is an obtuse angle.


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A

BC

D

For each statement answer True or FalseAngle C is an obtuse angle. = TrueAngle D is an acute angle.


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A

BC

D

For each statement answer True or FalseAngle C is an obtuse angle. = TrueAngle D is an acute angle. = FalseLine AD is parallel to line BC.


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A

BC

D

For each statement answer True or FalseAngle C is an obtuse angle. = TrueAngle D is an acute angle. = FalseLine AD is parallel to line BC. = FalseLine AB is perpendicular to line AD.


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Here is a map of part of France.

P a r i s

3 2 0 k m

C a l a i s

The map shows that the distance from Calais to Paris is 320 kilometres.

5 miles is approximately 8 kilometres.Use these facts to calculate the approximate distance in miles

from Calais to Paris.


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Samira bought this present in France.

4 4 . 8 5 F F

She paid 44.85 French Francs for it.9.75 French Francs equal £1

What was the cost of the present in pounds and pence?



Katie made two spinners, A and B.

1

2 3

1

2 3

s p i n n e r A s p i n n e r B

She says,'Scoring a 1 on

spinner A is just as likely as scoring a

1 on spinner B'.Explain why Katie

is correct.


End of PaperKatie made two spinners, A and B.

1

2 3

1

2 3

s p i n n e r A s p i n n e r B

She says 'Scoring a 1 on spinner A is

just as likely as scoring a

1 on spinner B'.Explain why Katie

is correct.

An explanation which recognises that the angle at the pivot for the regioncontaining 1 is 180° or half a turn on both spinners, eg· ‘It’s half the turn of the spinner on each’,· ‘They are both 180°’;· ‘On both spinners the probability of scoring 1 is ½’.

Do not accept vague or arbitrary explanation, eg· ‘It’s one out of three on each’;· ‘1 is the same space on both’;· ‘They are both equally good at spinning’;· ‘They have an equal chance of spinning 1’.

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2000 mathematics paper b