Interactive Voting - 1999 Maths Papera

1999 MATHS PAPER A

1999 Mathematics Paper AInput your name and press send.

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1999 Mathematics Paper A Q1a

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(3 × 4) + = 19

What is the missing number?

1999 Mathematics Paper A Q1b

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(5 × 5) - = 23


1999 Mathematics Paper A Q1

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(5 × 5) - = 23


(3 × 4) + = 19 Always work out what is in the brackets FIRST.

12 + 7 =

25 - 2 =


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The line on the grid is one side of a square.On the grid, draw the other three sides of the square.

Use the pen tool


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The line on the grid is one side of a square.On the grid, draw the other three sides of the square.

Square facts:

quadrilateral;

all sides equal;

four right angles.

Two across + one up


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This table shows the cost of sending a letter.

Cost in pence

Mass firstclass

secondclass

up to 60g61g to 100g101g to 150g151g to 200g201g to 250g

2639496070

2031384555

Paul is sending a letter.It costs 38p second class.

How much would it cost him to send it first class?


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This table shows the cost of sending a letter.

Cost in pence

Mass firstclass

secondclass

up to 60g61g to 100g101g to 150g151g to 200g201g to 250g

2639496070

2031384555

Jenny has a letter with a mass of 170g.

What does it cost to send if first class?


Next Page Answer Key

Write two more numbers in this diagram so that the total of all the numbers is 1000.

300

400

50


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Write two more numbers in this diagram so that the total of all the numbers is 1000.

300

400

50

Any two numbers which add to make 250, eg200 AND 50

Accept fractions, decimals, ‘0’ and negative numbers.Two numbers and only two numbers must be given.Do not accept an empty circle for zero unless the answer is written elsewhere.

1999 Mathematics Paper A Q5 Next Page

Draw one line from each shape to the rectangle which has the same area.One is done for you.

THIS SHAPE HAS THE SAME AREA AS?

A

BCDEF

1999 Mathematics Paper A Q5 Next Page Answers


A

THIS SHAPE HAS THE SAME AREA AS?

BCDE

1999 Mathematics Paper A Q5 Next Page


USE PEN TOOL TO MARK OFF?


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Rob has some number cards.

He holds up a card.He says,

‘If I multiply the number on this card by 5, the answer is 35’.

What is the number on the card?


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Rob has some number cards.

He holds up a different card.He says,

‘If I divide the number on this card by 6, the answer is 4’.



Next PageRob has some number cards.

He holds up a different card.He says,

‘If I divide the number on this card by 6, the answer is 4’.


He holds up a card.He says,

‘If I multiply the number on this card by 5, the answer is 35’.


? x 5 = 35

? X 2 = 6

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

You shared 6 by 2 so share 35 by 5 to get 7

? ÷ 6 = 4

? ÷ 2 = 3

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

You multiplied so now multiply 6 by 4 to get 24

24 ÷ 6 = 4


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A shop sells flowers.

Daffodils

99p for a bunch

Roses

40p each

John buys 3 bunches of daffodils.How much does he pay altogether in pounds?

Answer using the decimal.


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Daffodils

99p for a bunch

Roses

40p each

Karpal has £4.00 to spend on roses.How many roses can she buy for £4.00?


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Daffodils

99p for a bunch

Roses

40p each

Karpal has £4.00 to spend on roses.

How many roses can she buy for £4.00?

10 x 40p = 400p

John buys 3 bunches of daffodils.How much does he pay altogether in pounds?Answer using the decimal.

99p = £1 – 1p so…

3 x £1 = £3 then subtract 3 lots of 1p

£3.00 – 0.03 = £2.97


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Answer

Use a ruler to draw the reflection of this shape in the mirror line.(You may use a mirror or tracing paper in the actual SAT).

m irror line

Pen tool

1999 Mathematics Paper A Q

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Use a ruler to draw the reflection of this shape in the mirror line.(You may use a mirror or tracing paper in the actual SAT).

m irror line

2 across

2 up

4 across


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Calculate 438 – 296


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Five children collect money to plant trees.

Here is a bar chart of the amounts they have raised so far.

0 1 2 3 4 5 6 7 8 9

Louise

Hassan

David

S arah

Donna

am ount in pounds (£)

Their target is £40 altogether.How much more money

do they need to reach the target?

{Hint – no decimal needed}.

Pen tool - check


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Parveen buys 3 small bags of peanuts.

She gives the shopkeeper £2 and gets 80p change.

What is the cost in pence of one bag of peanuts?


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Parveen buys 3 small bags of peanuts.

She gives the shopkeeper £2 and gets 80p change.

What is the cost in pence of one bag of peanuts?

£2 – 80p = 3 bags of nuts

£2- 80p = £1.20

£1.20 – 3 bags of nuts so 1 bag = £1.20 ÷ 3 = 40p


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Calculate 549 × 6

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Next Page Volume demonstration

This cuboid is made from centimetre cubes.

4cm

3cm

2cm

It is 4 centimetres by 3 centimetres by 2 centimetres.

What is the volume of the cuboid in cm³?

Skip demonstration

1 23 4

5 67 8

Cubes Next Page

2

2

2

Volume =2 x 2 x 2 = 8

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Volume of a 3 x 3 x 3 cube = 27

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Volume of a 3 x 3 x 4 cuboid = 36

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Next PageAnother cuboid is made from centimere cubes.

It has a volume of 30 cubic centimetres.What could the length, height and width be?

Length = Cm

Height = Cm

Weight = Cm

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1999 Mathematics Paper A Q14Next Page Answer key

Car P ark charges

Tim e Charge

up to 1 hour

1 to 2 hours

2 to 3 hours

3 to 4 hours

over 4 hours

20p

50p

£1.00

£1.70

£5.00Emma parks her car at 9.30 am.She collects the car at 1.20 pm.How much does she pay in pence?

Dan and Mark both use the car park.Dan says,

‘I paid exactly twice as much as Mark but I only stayed 10 minutes longer’.Explain how Dan could be correct.


Car P ark charges

Tim e Charge

up to 1 hour

1 to 2 hours

2 to 3 hours

3 to 4 hours

over 4 hours

20p

50p

£1.00

£1.70

£5.00

Emma parks her car at 9.30 am.She collects the car at 1.20 pm.How much does she pay in pence?

9.30 to 10 = 30 minutes

10 to 1pm = 3 hours

1pm to 1.20pm = 20 minutes

Total = 3 hours 50 minutes =

3 hours = 170p


Car P ark charges

Tim e Charge

up to 1 hour

1 to 2 hours

2 to 3 hours

3 to 4 hours

over 4 hours

20p

50p

£1.00

£1.70

£5.00

Dan and Mark both use the car park.Dan says,

‘I paid exactly twice as much as Mark but I only stayed 10 minutes longer’.

Explain how Dan could be correct.

(b) Explanation which suggests that Dan stayed just over 2 hours and Markstayed just under 2 hours, eg

‘Dan stayed 2 hours and 5 minutes so he paid £1 but Mark stayed 5 minutes less than 2 hours and paid 50p’;

‘Mark stayed just under 2 hours and Dan stayed the next price up which is double’.Accept references to ‘2 hours’ as part of the 1 to 2 hours charging band OR as part of the 2 to 3 hours charging band.Do not accept vague or arbitrary answers, eg‘If you pay more you stay longer’;‘Mark went before the next hour, but Dan didn’t’;‘The ten minutes could have passed one hour’.Do not accept explanations which refer to the wrong charging band, eg‘Mark stayed 4 hours and Dan stayed 4 hours and 10 minutes’.


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Here are two bags.Each bag has 3 white balls and one black ball in it.

A ball is taken from one of the bags without looking.

What is the probability that it is a black

ball?Give your answer as a fraction.



All the balls from both bags are now mixed together in a new bag.

0 1

Which position on this shows the probability of taking a black ball from the new bag?

A B C D E

F = none of these positions


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Here are two bags.Each bag has 3 white balls and one black ball in it.

A ball is taken from one of the bags without looking.

What is the probability that it is a black

ball?Give your answer as a fraction.

(a) ¼ Accept equivalent fractions or decimals or percentages, eg 2/8 OR 0.25 OR 25%Do not accept answers in words, eg ‘1 out of 4’ or ‘1 in 4’ OR as a ratio, eg 1:4


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All the balls from both bags are now mixed together in a new bag.

0 1

Which position on this shows the probability of taking a black ball from the new bag?

A B C D E

F = none of these positions

(b) Cross on the line as shown.

Cross must be within 1mm of the scale marking.Accept alternative markings such as an arrow, provided the intention is clear.


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Eggs are put in trays of 12.

The trays are packed in boxes.

Each box contains 180 eggs.How many trays are in each box?


Next PageEggs are put in trays of 12.

The trays are packed in boxes.

x number of trays =

2 x ? = 6

? = 3

What do you do with 2 and 6 to get 3?

Multiply them so 180 ÷ 12 = ? (number of trays)

180 ÷ 12 = 15


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Megan makes a sequence of numbers starting with 100.She subtracts 45 each time.Write the next two numbers in the sequence.

100 55 10 ??


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Megan makes a sequence of numbers starting with 100.She subtracts 45 each time.Write the next two numbers in the sequence.

100 55 10 -35 ??

PPT


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Which two numbers add up to 1?

A.0.1

B.0.65

C.0.99

D.0.45

E.0.35


Next Page Answer key

On the grid draw a triangle with the same area as the shaded rectangle.

Pen tool


Next PageAny triangle with an area of 8cm2, eg

Drawings must be accurate to within 2mm of appropriate grid intersections.

The triangle need not be shaded and need not have vertices at grid junctions.

Do not penalise drawings done without a ruler, provided

the intention is clear.

Which is the best KISS answer?


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Here is a graph

(0,2)

(10,6)

A

B

D

C

y

x0

The points A, B and C are equally spaced.What are the co-ordinates of the point B?

First co-ordinate? = (?, _)


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Here is a graph

(0,2)

(10,6)

A

B

D

C

y

x0

The points A, B and C are equally spaced.What are the co-ordinates of the point B?

Second co-ordinate? = (5, ?)

1999 Mathematics Paper A Q20c

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Here is a graph

(0,2)

(10,6)

A

B

D

C

y

x0

The points A, B and C are equally spaced.Point D is directly below point C.

What are the co-ordinates of the point D?First co-ordinate? = (?, _)

1999 Mathematics Paper A Q20d

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Here is a graph

(0,2)

(10,6)

A

B

D

C

y

x0

The points A, B and C are equally spaced.Point D is directly below point C.

What are the co-ordinates of the point D?Second co-ordinate? = (10, _)

PPT


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The outer ring of this spinner has 8 sections labelled with the numbers 1 to 5.The inner ring has 12 equal sections on it.

3

2

4

54 3

2

1

Laura spins the pointer.Which is the pointer most likely

to stop on?

12b Give a reason for your answer.




3

2

4

54 3

2

1What is the probability of getting an even number

on this spinner?Give your answer as

a fraction.


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3

2

4

54 3

2

1Laura spins the pointer.

Which is the pointer most likely to stop on?

3

12b Give a reason for your answer.

(b) Explanation which implies that ‘3’ has more sections than any other number. 1A comparison must be implied, eg

· ‘3 has four sections but 1 has only got three’;· ‘The 3’s have more slices’;· ‘The triangles are more for 3 than the others’;· ‘It’s got more equal parts’;· ‘There’s more room to land on’.

If no answer is given to 21a, but in the explanation for 21b, 3 is unequivocally implied as the answer for 21a, then award the mark for 21a.Do not accept vague or arbitrary explanations such as

· ‘3 comes twice’;· ‘It’s not the biggest but there’s two of them’;· ‘3 has four sections’.


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3

2

4

54 3

2

1What is the probability of getting an even number

on this spinner?Give your answer as

a fraction.

(c) OR OR 33% OR 0.3 recurring OR 0.3.Accept equivalent fractions, decimals or percentages.Accept 33% or 0.33.Do not accept 0.3 OR answers in words, eg ‘1 in 3’ or ‘4 out of 12’ OR as a ratio, eg 4:12.


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Here is a sketch of a triangle.It is not drawn to scale.

10cm

7cm

48º

Draw the full size triangle accurately, in your book.Use an angle measurer (protractor) and a ruler.

Start with the 10cm line.

WWW

Shape show movie

http://www.mathsteacher.com.au/year7/ch08_angles/02_draw/draw.htm


End of slide-show

Calculate 268 × 53

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Interactive Voting - 1999 Maths Papera