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2005 Mathematics Paper B2005 Mathematics Paper BInput your name and press send.Input your name and press send.
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2005 Mathematics Paper B Q12005 Mathematics Paper B Q1
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Write these prices in order from smallest to largest.
A B
C D E
2005 Mathematics Paper B Q22005 Mathematics Paper B Q2
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A.64
B.32
C.16
D.8
E.4
Which three numbers will add up to 100?
2005 Mathematics Paper B Q3
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Here is a shape.
Which of the shapes below is the same as the one above.
AB C
D E
Word file
2005 Mathematics Paper B Q4a2005 Mathematics Paper B Q4a
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These are the prices of coconuts and bananas.
Josh buys one coconut and half a kilogram of bananas.How much does he spend altogether?
{Answer using the decimal}.
2005 Mathematics Paper B Q4a2005 Mathematics Paper B Q4a
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These are the prices of coconuts and bananas.
Josh buys one coconut and half a kilogram of bananas.How much does he spend
altogether?
(a) Award TWO marks for the correct answer of £1.38
If the answer is incorrect, award ONE mark for evidence of appropriate method, eg
78 + ( ½ x 1.20)Accept for ONE mark £138p OR £138 as evidence of an appropriate method.Answer need not be obtained for the award of ONE mark.
2005 Mathematics Paper B Q4a2005 Mathematics Paper B Q4a
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Oranges cost 25p each.
How many oranges can Josh buy for £1.50?
2005 Mathematics Paper B Q2005 Mathematics Paper B Q
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This grid is made of hexagons.Use the pen tool to draw the reflection of the shaded shape on the grid.
2005 Mathematics Paper B Q2005 Mathematics Paper B Q
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This grid is made of hexagons.Use the pen tool to draw the reflection of the shaded shape on the grid.
2005 Mathematics Paper B Q6a2005 Mathematics Paper B Q6a
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Each missing digit in these calculations is 2, 5 or 7Write in the missing digits.
You may use each digit more than once.
What is this digit?
2005 Mathematics Paper B Q6b2005 Mathematics Paper B Q6b
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Each missing digit in these calculations is 2, 5 or 7Write in the missing digits.
You may use each digit more than once.What is this digit?
2005 Mathematics Paper B Q6c2005 Mathematics Paper B Q6c
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Each missing digit in these calculations is 2, 5 or 7Write in the missing digits.
You may use each digit more than once.What is this digit?
2005 Mathematics Paper B Q6d2005 Mathematics Paper B Q6d
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Each missing digit in these calculations is 2, 5 or 7Write in the missing digits.
You may use each digit more than once.
What is this digit?
2005 Mathematics Paper B Q6e2005 Mathematics Paper B Q6e
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Each missing digit in these calculations is 2, 5 or 7Write in the missing digits.
You may use each digit more than once.
What is this digit?
2005 Mathematics Paper B Q6f2005 Mathematics Paper B Q6f
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Each missing digit in these calculations is 2, 5 or 7Write in the missing digits.
You may use each digit more than once.
What is this digit?
2005 Mathematics Paper B Q6g2005 Mathematics Paper B Q6g
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Each missing digit in these calculations is 2, 5 or 7Write in the missing digits.
You may use each digit more than once.
What is this digit? Xl FILE
2005 Mathematics Paper B Q7a2005 Mathematics Paper B Q7a
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This table shows information about four solid shapes.Complete the table.
One has been done for you.
number of
flat surfacesnumber ofcurved surfaces
sphere 0 1
cone
cuboid
cylinder
What number should go here?
2005 Mathematics Paper B Q7b2005 Mathematics Paper B Q7b
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This table shows information about four solid shapes.Complete the table.
One has been done for you.
number of
flat surfacesnumber of
curved surfaces
sphere 0 1
cone
cuboid
cylinder
What number should go here?
2005 Mathematics Paper B Q7c2005 Mathematics Paper B Q7c
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This table shows information about four solid shapes.Complete the table.
One has been done for you.
number of
flat surfacesnumber of
curved surfaces
sphere 0 1
cone
11 11
cuboid
cylinder
What number should go here?
2005 Mathematics Paper B Q7d2005 Mathematics Paper B Q7d
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This table shows information about four solid shapes.Complete the table.
One has been done for you.
number of
flat surfacesnumber of
curved surfaces
sphere 0 1
cone
11 11
cuboid
cylinder
What number should go here?
2005 Mathematics Paper B Q7e2005 Mathematics Paper B Q7e
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This table shows information about four solid shapes.Complete the table.
One has been done for you.
number of
flat surfacesnumber of
curved surfaces
sphere 0 1
cone
11 11
cuboid
66 00
cylinder
What number should go here?
2005 Mathematics Paper B Q7e2005 Mathematics Paper B Q7e
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Answers
This table shows information about four solid shapes.Complete the table.
One has been done for you.
number of
flat surfacesnumber of
curved surfaces
sphere 0 1
cone
cuboid
cylinder
What number should go here?
2005 Mathematics Paper B Q72005 Mathematics Paper B Q7
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This table shows information about four solid shapes.Complete the table.
One has been done for you.
number of
flat surfacesnumber of
curved surfaces
sphere 0 1
cone
11 11
cuboid
66 00
cylinder
22 11
What number should go here?
2005 Mathematics Paper B Q8a2005 Mathematics Paper B Q8a
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A shop sells different kinds of greeting cards.
This pictogram shows how many they sold in a week.
Estimate how many Birthday cards were sold.
2005 Mathematics Paper B Q8b2005 Mathematics Paper B Q8b
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Answer Key
A shop sells different kinds of greeting cards.
This pictogram shows how many they sold in a week.
Estimate how many more Thank You cards than Get Well cards were sold.
2005 Mathematics Paper B Q8b2005 Mathematics Paper B Q8b
A shop sells different kinds of greeting cards.
This pictogram shows how many they sold in a week.
Estimate how many more Thank You cards than Get Well cards were sold.
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Estimate how many Birthday cards were sold.
(a) Answer in the range 340 to 360 inclusive.(b) Answer in the range 240 to 260 inclusive.
2005 Mathematics Paper B Q9a2005 Mathematics Paper B Q9a
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Here is part of a number line.What is the missing number?
2005 Mathematics Paper B Q9b2005 Mathematics Paper B Q9b
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Here is part of a number line.What is the missing number?
2005 Mathematics Paper B Q92005 Mathematics Paper B Q9
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Here is part of a number line.What is the missing number?
First of all work out how much each “mark” is worth on the scale.
The difference between 960 and 980 is 20 and there are…
4 steps in between so 20 divided by 4 = 5
Write in the values on each mark
2005 Mathematics Paper B Q92005 Mathematics Paper B Q9
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Here is part of a number line.What is the missing number?
First of all work out how much each “mark” is worth on the scale.
The difference between 960 and 980 is 20 and there are…
4 steps in between so 20 divided by 4 = 5
Write in the values on each mark
960-5=955
980+5=985
985+5=990
990+5=995
995+5=1000
1000+5=1005
1005+5=1010
2005 Mathematics Paper B Q102005 Mathematics Paper B Q10
Next Page Answer key
1. Here is a spinner which is a regular octagon.Write 1, 2 or 3 in each section of the spinner so that
1 and 2 are equally likely to come up and3 is the least likely to come up.
2005 Mathematics Paper B Q102005 Mathematics Paper B Q10
Next Page Answer key
1. Here is a spinner which is a regular octagon.Write 1, 2 or 3 in each section of the spinner
so that1 and 2 are equally likely to come up and
3 is the least likely to come up.
Accept for TWO marks any arrangement using one of the following up to 2sets of eight numbers:
1, 1, 1, 2, 2, 2, 3, 3OR1, 1, 1, 1, 2, 2, 2, 2eg
Numbers may be written in any order.If the answer is incorrect, award ONE mark for an
arrangement such that:· the number of 1s and 2s is equal
OR· the number of 3s is less thanthe number of 2s ANDthe number of 3s is less than the number of 1s.
Do not accept answers that leave sections blank or include numbers other than 1, 2 or 3.
2005 Mathematics Paper B Q112005 Mathematics Paper B Q11
Next Page Answers
Josh thinks of a number.
He adds 4He multiplies his result by 3
Then he takes away 9His final answer is 90
What number did Josh start with?
2005 Mathematics Paper B Q112005 Mathematics Paper B Q11
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Josh thinks of a number.
He adds 4He multiplies his result by 3
Then he takes away 9His final answer is 90
What number did Josh start with?
What is happening mathematically?
Unknown number + 4 =
Result1 x 3 =
Result2 – 9 =
90 Working backwards: 90 + 9 = Result2 = 99
Result2 ÷ 3 = 99 ÷ 3 = Result1 = 33
Result1 – 4 = 33 – 4 = 29 XL file
2005 Mathematics Paper B Q122005 Mathematics Paper B Q12
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Here is a 1cm square grid.Some of the grid is shaded.
What is the area that is shaded in cm sq?
Mark of with pen tool
2005 Mathematics Paper B Q13a2005 Mathematics Paper B Q13a
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Sapna and Robbie have some biscuits.Altogether they have 14 biscuits.
Sapna has 2 more biscuits than Robbie.How many biscuits does Sapna have?
2005 Mathematics Paper B Q13b2005 Mathematics Paper B Q13b
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Sapna and Robbie have some biscuits.Altogether they have 14 biscuits.
Sapna has 2 more biscuits than Robbie.How many biscuits does Robbie have?
Click for a solution
SapnaSapna
(R + 2)(R + 2)
RobbieRobbie Total Total biscuitsbiscuits
22 00 22
33 11 44
44 22 66
55 33 88
66 44 1010
77 55 1212
88 66 1414
2005 Mathematics Paper B Q142005 Mathematics Paper B Q14
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1. This pattern is made by turning a shape clockwise through 90° each time.Draw the two missing triangles on the last shape.
Pen toolWord file
2005 Mathematics Paper B Q152005 Mathematics Paper B Q15
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The diagram shows two identical squares.
A is the point (10,10)What are the coordinates of B and C?
Firstly, what is the first value for B?
2005 Mathematics Paper B Q152005 Mathematics Paper B Q15
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The diagram shows two identical squares.
A is the point (10,10)What are the coordinates of B and C?
Firstly, what is the second value for B?
B = (0,?)
2005 Mathematics Paper B Q152005 Mathematics Paper B Q15
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The diagram shows two identical squares.
A is the point (10,10)What are the coordinates of B and C?
Firstly, what is the first value for C?
B = (0,10)
C = (?,_)
2005 Mathematics Paper B Q152005 Mathematics Paper B Q15
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The diagram shows two identical squares.
A is the point (10,10)What are the coordinates of B and C?
Firstly, what is the second value for C?
B = (0,10)
C = (10,?)
Co-ord. PPT
2005 Mathematics Paper B Q162005 Mathematics Paper B Q16
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Choose all the factors of 30 which are also factors of 20
A.1
B.2
C.4
D.5
E.6
F.10
2005 Mathematics Paper B Q162005 Mathematics Paper B Q16
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Choose all the factors of 30 which are also factors of 20
A.1
B.2
C.4
D.5
E.6
F.10
Factors are numbers which share into another number without any remainder e.g. the factors of 6 are:
1 2 3
2005 Mathematics Paper B Q172005 Mathematics Paper B Q17
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17 multiplied by itself gives a 3-digit answer.
What is the smallest 2-digit number that can be multiplied by itself to give a 4-digit answer?
XL file
2005 Mathematics Paper B Q182005 Mathematics Paper B Q18
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All the children at Park School chose their favourite soup.The graph shows the results.
How many more children chose chicken soup than mushroom soup?
2005 Mathematics Paper B Q182005 Mathematics Paper B Q18
Next Page Answer key
All the children at Park School chose their favourite soup.The graph shows the results.
Robbie says,‘More than half of the children chose tomato soup’.Is he correct?Yes or No.Explain how you can tell from the graph.
2005 Mathematics Paper B Q182005 Mathematics Paper B Q18
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Robbie says,‘More than half of the children chose tomato soup’.Is he correct? Yes or No. Explain how you can tell from the graph.
How many more children chose chicken soup than mushroom soup?
(a) Answer in the range 14 to 16 inclusive.
(b) An explanation which recognises that the bar for tomato is shorter than the other two bars added together, eg
· ‘Because there are 300 children altogether and only 135 chose tomato’;· ‘Because 165 is more than 135’;· ‘Because double 135 is 270 and there are more children than that altogether’;· ‘Because half of 300 is 150’;· ‘Because tomato is less than mushroom add chicken’.
No mark is awarded for writing ‘No’ alone.Do not accept vague or arbitrary explanations, eg· ‘Because most of the children chose tomato’;· ‘Because 135 children chose tomato’;· ‘Because 75 + 135 + 90 = 300’.If ‘Yes’ is circled but a correct, unambiguous explanation is given then award the mark.
2005 Mathematics Paper B Q192005 Mathematics Paper B Q19
Next Page Answer Key
Sapna makes a fruit salad using bananas, oranges and apples.For every one banana, she uses 2 oranges and 3 apples.Sapna uses 24 fruits.How many oranges does she use?
2005 Mathematics Paper B Q192005 Mathematics Paper B Q19
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Sapna makes a fruit salad using bananas, oranges and apples.For every one banana, she uses 2 oranges and 3 apples.Sapna uses 24 fruits.How many oranges does she use?
Award TWO marks for the correct answer of 8 up to 2If the answer is incorrect, award ONE mark for
evidence of an appropriate method, eg
1 + 2 + 3 = 624 ÷ 6 = 44 x 2OR6 fruits 2 oranges12 fruits4 oranges18 fruits6 oranges24 fruitswrong answer
Answer need not be obtained for the award of ONE mark.
XL File
2005 Mathematics Paper B Q202005 Mathematics Paper B Q20
Next Page Answers
Which two of these numbers, when multiplied together, have the answer closest to 70?
A. 7.4
B. 8.1
C. 9.4
D. 10
2005 Mathematics Paper B Q202005 Mathematics Paper B Q20
Next Page Answers
Which two of these numbers, when multiplied together, have the answer closest to 70?
A. 7.4
B. 8.1
C. 9.4
D. 10
7.4 x 9.4 = 69.56
2005 Mathematics Paper B Q212005 Mathematics Paper B Q21
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Here is an isosceles triangle.
Calculate the size of angle x - do not use a protractor (angle measurer).
2005 Mathematics Paper B Q212005 Mathematics Paper B Q21
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Here is an isosceles triangle.
Calculate the size of angle x - do not use a protractor (angle measurer).
Relevant facts:
In all triangles the internal angles add up to?
2005 Mathematics Paper B Q212005 Mathematics Paper B Q21
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Here is an isosceles triangle.
Calculate the size of angle x - do not use a protractor (angle measurer).
Relevant facts:
In all triangles the internal angles add up to?
In an isosceles triangle how many sides are equal to each other?
2005 Mathematics Paper B Q212005 Mathematics Paper B Q21
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Here is an isosceles triangle.
Calculate the size of angle x - do not use a protractor (angle measurer).
Relevant facts:
In all triangles the internal angles add up to?
In an isosceles triangle how many sides are equal to each other?
x = x (shown above)
So internal angles = 180º
180º = 110º + xº + xº
Therefore xº + xº = 70º
xº = 35º
Investigation – are two of the internal angles in an isosceles triangle always equal?
Internet activity
2005 Mathematics Paper B Q222005 Mathematics Paper B Q22
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On Monday all the children at Grange School each play one sport.They choose either hockey or rounders.
There are 103 children altogether in the school.
27 girls choose hockey.Write all this information in the
table.Then complete the table.
hockey rounders Total
boys 22
girls 53
Total
What number goes here?
2005 Mathematics Paper B Q222005 Mathematics Paper B Q22
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On Monday all the children at Grange School each play one sport.They choose either hockey or rounders.
There are 103 children altogether in the school.
27 girls choose hockey.Write all this information in the
table.Then complete the table.
hockey rounders Total
boys 22
girls 2727 53
Total
What number goes here?
2005 Mathematics Paper B Q222005 Mathematics Paper B Q22
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On Monday all the children at Grange School each play one sport.They choose either hockey or rounders.
There are 103 children altogether in the school.
27 girls choose hockey.Write all this information in the
table.Then complete the table.
hockey rounders Total
boys 22
girls 2727 53
Total
103103
What number goes here?
2005 Mathematics Paper B Q222005 Mathematics Paper B Q22
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On Monday all the children at Grange School each play one sport.They choose either hockey or rounders.
There are 103 children altogether in the school.
27 girls choose hockey.Write all this information in the
table.Then complete the table.
hockey rounders Total
boys 22 5050
girls 2727 53
Total
103103
What number goes here?
2005 Mathematics Paper B Q222005 Mathematics Paper B Q22
Next Page
On Monday all the children at Grange School each play one sport.They choose either hockey or rounders.
There are 103 children altogether in the school.
27 girls choose hockey.Write all this information in the
table.Then complete the table.
hockey rounders Total
boys 22 5050
girls 2727 2626 53
Total
103103
What number goes here?
2005 Mathematics Paper B Q222005 Mathematics Paper B Q22
Next Page
On Monday all the children at Grange School each play one sport.They choose either hockey or rounders.
There are 103 children altogether in the school.
27 girls choose hockey.Write all this information in the
table.Then complete the table.
hockey rounders Total
boys 22 2828 5050
girls 2727 2626 53
Total
103103
What number goes here?
2005 Mathematics Paper B Q222005 Mathematics Paper B Q22
Next Page
On Monday all the children at Grange School each play one sport.They choose either hockey or rounders.
There are 103 children altogether in the school.
27 girls choose hockey.Write all this information in the
table.Then complete the table.
hockey rounders Total
boys 22 2828 5050
girls 2727 2626 53
Total
5454 103103
What number goes here?
2005 Mathematics Paper B Q222005 Mathematics Paper B Q22
Next Page
On Monday all the children at Grange School each play one sport.They choose either hockey or rounders.
There are 103 children altogether in the school.
27 girls choose hockey.Write all this information in the
table.Then complete the table.
hockey rounders Total
boys 22 2828 5050
girls 2727 2626 53
Total
4949 5454 103103
Next page Answer KeyNext page Answer Key
30% of is 60?
2005 Mathematics Paper B Q22b2005 Mathematics Paper B Q22b
Next page – methods of solving 22aNext page – methods of solving 22a
30% of is 60?
2005 Mathematics Paper B Q22a2005 Mathematics Paper B Q22a
30% of 60 is
(a) 18Do not accept 18%(b) 200Do not accept 200%If the answer for 23a is 18% AND the answer for 23b is 200%, awardONE mark only in the 23b box.
Next page – methods of solving 22bNext page – methods of solving 22b
2005 Mathematics Paper B Q22a2005 Mathematics Paper B Q22a
30% of 60 is
(a) 18Do not accept 18% Method 1: use decimal fractions & calculator
30% = 0.30
0.30 x 60 = 18
Method 2: Find 1% and multiply
1% of 60 = 0.6
30 lots of 1% = 30 x 0.6 = 18
Next pageNext page
2005 Mathematics Paper B Q22a2005 Mathematics Paper B Q22a
(b) 200Method 1: use decimal fractions & calculator
30% = 0.30
0.30 x ?? = 60 rearrange 0.30 x 60 = ?? = 200
Method 2: Find 1% and multiply
30% = 60 so 10% = 20 and 1% = 2
100 lots of 1% = 2 x 100 = 200
30% of is 60?
2005 Mathematics Paper B Q242005 Mathematics Paper B Q24
Next Page Answers
Here is a rectangle with a width of 15.7 centimetres.
The perimeter of this rectangle is 85 centimetres.Calculate the length of the rectangle in cm.
2005 Mathematics Paper B Q242005 Mathematics Paper B Q24Next Page
Here is a rectangle with a width of 15.7 centimetres. The perimeter of this rectangle
is 85 centimetres.Calculate the length of the
rectangle in cm.
Rectangle Facts:
opposite sides are equal;
perimeter = distance all the way round = (width x 2)+(length x 2)
85 cm = (15.7cm + 15.7cm) +(length x 2)
85cm = 31.4cm + (length x 2)
85cm – 31.4cm = length x 2
53.6cm = length x 2 so half of 53,6cm = length = 26.8cm
2005 Mathematics Paper B Q252005 Mathematics Paper B Q25
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A box contains 220 matches and weighs 45 grams.
The empty box weighs 12 grams.Calculate the weight of one match.
2005 Mathematics Paper B Q252005 Mathematics Paper B Q25
End of paper
A box contains 220 matches and weighs 45 grams.
The empty box weighs 12 grams.Calculate the weight of one match.
Total weight = box + matches
Matches = total weight – box
Matches = 45g – 12g = 33g
220 matches = 33g
1 match = 33g ÷220 = 0.15g