Transcript Primar y Maths Challenge 2006
A selection of questions from the semi final and final rounds
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Semi - final
Which two numbers in this chart add up to 1000?
388 900 675 125 444 745 405 425 355 101
A cube and two similar cylinders weigh 250g altogether.
A cube and three similar cylinders weigh 300g altogether.
How much does a cube weigh? The extra cylinder weighs 50g The two original cylinders weigh 100g altogether.
The cube weighs 250g - 100g = 150g.
Joe has two 50p coins, three 20p coins and three 5p coins in his pocket.
He wants to buy a football.
How much more money does he need?
Joe has £1 + 60p + 15p = £1.75 He needs £4 - £1.75 = £2.25 more £4.00
The graph below shows how 50 children travel to school.
Walk Car Bus Bicycle A.
B.
0 5 10 15 20 How many children walk to school?
15 How many children travel to school on at least four wheels?
20 + 5 = 25 25
The perimeter of the pentagon is 90cm.
Each of the longer sides are the same length.
Each of the shorter sides are the same length.
How long are each of the longer sides?
The two shorter sides total 21cm The three longer sides total 90cm - 21cm = 69cm 10.5cm
23cm One longer side is 69cm ÷ 3 = 23cm
Which three 2-d shapes are hidden?
All the letters must be used.
Q E E S R T A K I I I I I I S Q U A R E T R I A N G L E K I T E
If you add together the numbers 1 - 20 inclusive, what is your total?
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 + 20 = 21 2 + 19 = 21 3 + 18 = 21 4 + 17 = 21 10 + 11 = 21 This will make ten lots of 21.
10 x 21 = 210.
Add each pair of numbers until ...
210
The triangle XYZ is isosceles and joins on to a square.
Use what you know about squares and isosceles triangles to calculate the value of angle A.
A X 50 0 40 0 Angle A is 50 0 80 0 Y 80 0 Z
The price of this guitar is increased by 15%.
What is its new price?
To find 15% first find 10%.
10% 0f £380 is £38.
£380 Now find 5% which is half of 10%.
So 5% is £19.
Now add your two answers; £38 + £19 = £57 The new price is £380 + £57 = £437
Amy’s printer prints 18 sheets per minute in black and white and 13 sheets per minute in colour.
She has to print 90 black and white sheets and 52 colour sheets.
How many minutes less than a quarter of an hour will the job take?
6 min.
90 black and white sheets will take 5 minutes.
52 colour sheets will take 4 minutes.
The job will take 9 minutes which is 6 minutes less than a quarter of an hour.
Ben does these decimal calculations.
He then arranges his answers in order starting with the smallest number.
Write your answers in the same order as Ben using the code letters.
30.9 ÷ 3 =
C A D B
How many cubes make this shape? Some may be hidden.
17
The rule for this sequence of numbers is multiply by 2 and then subtract 3 from your answer.
4 5
7
11
19
35 67
131
Four of the shapes in this diagram are in the wrong place.
Write the letters of those shapes.
Quadrilaterals More than 4 sides Symmetrical A B C Not symmetrical G H C F G I D E I J F
What fraction of the large square is shaded grey?
1 2 14 8 10 11 12 3 5 15 4 6 16 13 7 9 9 16
A sheet of postage stamps has 12 stamps in a row and ten rows of stamps.
Each stamp is worth 8p.
What is the value of 5 similar sheets of stamps? There are 12 x 10 stamps on a sheet = 120 stamps There are 120 x 5 stamps altogether = 600 stamps 600 stamps @ 8p each = 4800p or £48
What are the co-ordinates of the centre of this square?
y (1, 3) (-2,3) x -1 0
What are the weights shown by the arrows on the scale?
B A 350g 375g 400g 450g A 525g B 375g 500g 525g 550g
a = 5, b = 3 and c = 2 a 2 means a x a 3a means 3 x a Using the information above work out the following equation.
(b 2 + 3c) ÷ 2a = ?
(b 2 + 3c) = 9 + 6 = 15 15 ÷ 10 = 1.5
Jack’s car travels 6.5Km on each litre of petrol.
On a journey he uses 12 litres of petrol.
A litre costs 90p.
How much does the petrol for the journey cost?
Cost is 12 litres x 90p = 1080p or £10.80
Redundant information
Which two numbers in this chart add up to 1000?
388 900 675 125 275 444 745 405 425 355 101 725
A cube and two cylinders weigh 250g altogether.
A cube and three cylinders weigh 300g altogether.
How much does a cube weigh?
Joe has two 50p coins, three 20p coins and three 5p coins in his pocket.
He wants to buy a football.
How much more money does he need?
£4.00
The graph below shows how 50 children travel to school.
Walk Car Bus Bicycle A.
B.
0 How many children walk to school?
20 How many children travel to school on at least four wheels?
The perimeter of the pentagon is 90cm.
Each of the longer sides are the same length.
Each of the shorter sides are the same length.
How long are each of the longer sides?
10.5cm
Which three 2-d shapes are hidden?
All the letters must be used.
Q E E S R T A K I I A N U E G R L T
If you add together the numbers 1 - 20 inclusive, what is your total?
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
The triangle XYZ is isosceles and joins on to a square.
Use what you know about squares and isosceles triangles to calculate the value of angle A.
A 80 0 Y X Z
The price of this guitar is increased by 15%.
What is its new price?
£380
Amy’s printer prints 18 sheets per minute in black and white and 13 sheets per minute in colour.
She has to print 90 black and white sheets and 52 colour sheets.
How many minutes less than a quarter of an hour will the job take?
Ben does these decimal calculations.
He then arranges his answers in order starting with the smallest number.
Write your answers in the same order as Ben using the code letters.
A B C D 3.4 x 3 = 21.6 - 11.1 = 6.3 + 3.8 = 30.9 ÷ 3 =
How many cubes make this shape? Some may be hidden.
The rule for this sequence of numbers is multiply by 2 and then subtract 3 from your answer.
4 5 11 35 67
Four of the shapes in this diagram are in the wrong place.
Write the letters of those shapes.
Quadrilaterals More than 4 sides Symmetrical A B C Not symmetrical G H D I E J F
What fraction of the large square is shaded grey?
A sheet of postage stamps has 12 stamps in a row and ten rows of stamps.
Each stamp is worth 8p.
What is the value of 5 similar sheets of stamps?
What are the co-ordinates of the centre of this square?
y (-2,3) x -1 0
What are the weights shown by the arrows on the scale?
B A 400g 500g
a = 5, b = 3 and c = 2 a 2 means a x a 3a means 3 x a Using the information above work out the following equation.
(b 2 + 3c) ÷ 2a = ?
Jack’s car travels 6.5Km on each litre of petrol.
On a journey he uses 12 litres of petrol.
A litre costs 90p.
How much does the petrol for the journey cost?
Semi - final
Which number when multiplied by itself gives an answer that is half of 72?
6 Half of 72 is 36 6 x 6 = 36
What is the cost of 2 chocolate bars if five similar bars cost £2 altogether?
80p
One bar costs £2 (200p) ÷ 5 = 40p Two bars cost 40p x 2 = 80p
The shape below is made up of two squares like this one 30cm 5cm 10cm 5cm 5cm 10cm What is the perimeter of the new shape?
The graph shows the most popular sandwiches brought to school for lunch.
A.
B.
C.
Ham Egg Tuna Cheese Chicken 0 Which was the least favourite sandwich?
Egg 20 Which two types of sandwich were liked equally?
Tuna and chicken How many cheese sandwiches and ham sandwiches were liked altogether?
35
600g Each weight this size is 200g 600g ÷ 5 = 120g The scales balance with five weights What does each weigh 120g
Which numbers are missing from this sequence?
The rule is subtract 2 and double your answer.
8 12 20 68
Tom makes square picture frames out of wood.
Each side is 8cm long.
How many picture frames can he make from a piece of wood that is 160 cm long?
8cm 5 8cm 8cm 8cm Each frame needs 32cm of wood.
160 ÷ 32 = 5
At a school disco three-eighths of the children are boys.
There are 48 children at the disco.
How many children are girls?
One-eighth is 48 ÷ 8 = 6 children.
Three-eighths are 6 x 3 = 18 boys.
48 children - 18 boys = 30 girls.
30
Here are some nets of solid shapes Which of the shapes below can be made from the nets?
cylinder cube tetrahedron triangular prism cuboid square-based pyramid cone sphere
It takes 1 hour and 5 minutes for the train to travel from Grimsby to Lincoln.
The 15:37 train sets off 27 minutes late and does not make up lost time on the journey.
What time does the train arrive in Lincoln?
17:09
Which of these statements are true and which are false?
A.
B.
C.
D.
E.
All prime numbers are odd.
F
The number 91 has both 7 and 13 as factors.
T
A triangle with 2 equal sides and 2 equal angles is isosceles .
T
100mm make 1 metre.
F
20% of a number is equal to 80.
What is the number?
400
20% x 5 = 100% To find the number multiply 80 by 5.
80 x 5 = 400
The conversion graph shows the exchange between Euros (E) and Pounds (£) E80 £70 A. Ben goes to Spain. He exchanges £56. £35 0 E50 E100 £21
Use the symbol / number code to calculate the number problem.
Answer using symbols.
0 1 2 3 4 5 6 7 8 9 6 4 0 7 SUBTRACT c 3 2 5 1 3 1 5 6
Calculate the area of the shaded section in this drawing.
The white shapes are squares with the same measurements.
24cm 6cm
216cm
2 12cm The area of the large rectangle is 24 x 12 = 288cm 2 The area of each small square is 6 x 6 = 36cm 2 The area of the shaded part is 288cm 2 - 72cm 2 = 216cm 2
A football team scores 48 goals in one season.
Sam scores one-third of them, Jack scores 25% of them, Ben scores 9 goals; the rest are scored by other players.
How many goals did the other players score?
One-third of 48 goals is 16 goals.
25% of 48 goals is 12 goals.
16 + 12 + 9 = 37 goals.
48 - 37 = 11 goals.
11 goals
Jody buys 2 boxes of chocolates each costing £9.99, 500g of sweets costing £2.80 Kg and 3 sheets of wrapping paper costing 95p a sheet.
She has a £5 note, two 50p coins and three 20p coins left.
How much money did Jody have to start with?
£30.83
Chocolates (£19.98) + sweets (£1.40) + wrapping paper (£2.85) = £24.23.
Jody has £5 + £1.00 + 60p = £6.60 left Jody started with £24.23 + £6.60 = £30.83
The perimeter of the regular octagon is 24cm.
The perimeter of the square is 12cm.
Jack makes the shape below from squares and octagons.
What is the perimeter of the new shape he makes?
60cm
Which three of these numbers are not in the correct place in the Venn diagram?
Even numbers 125 100 98 410 532 132 120 40 76 4 222 Numbers less than 100 95 21 101 13 63
98, 222, 101
Which number when multiplied by itself gives an answer that is half of 72?
What is the cost of 2 chocolate bars if five similar bars cost 32 altogether?
The shape below is made up of two squares like this one 5cm What is the perimeter of the new shape?
The graph shows the most popular sandwiches brought to school for lunch.
A.
B.
C.
Ham Egg Tuna Cheese Chicken 0 Which was the least favourite sandwich?
20 Which two types of sandwich were liked equally?
How many cheese sandwiches and ham sandwiches were liked altogether?
Each weight this size is 200g The scales balance with five weights What does each weigh
Which numbers are missing from this sequence?
The rule is subtract 2 and double your answer.
8 12 20 68
Tom makes square picture frames out of wood.
Each side is 8cm long.
How many picture frames can he make from a piece of wood that is 160 cm long?
At a school disco three-eighths of the children are boys.
There are 48 children at the disco.
How many children are girls?
Here are some nets of solid shapes Which of the shapes below can be made from the nets?
cylinder cube tetrahedron triangular prism cuboid square-based pyramid cone sphere
It takes 1 hour and 5 minutes for the train to travel from Grimsby to Lincoln.
The 15:37 train sets off 27 minutes late and does not make up lost time on the journey.
What time does the train arrive in Lincoln?
A.
B.
C.
D.
E.
Which of these statements are true and which are false?
All quadrilaterals have at least one line of symmetry All prime numbers are odd.
The number 91 has both 7 and 13 as factors. A triangle with 2 equal sides and 2 equal angles is isosceles . 100mm make 1 metre.
20% of a number is equal to 80.
What is the number?
The conversion graph shows the exchange between Euros (E) and Pounds (£) £70 A. Ben goes to Spain. He exchanges £56. How many Euros does he receive?
£35 0 E50 E100 B. Amy comes back from France with E30. How many pounds can she change this back into?
Use the symbol / number code to calculate the number problem.
Answer using symbols.
0 1 2 3 4 5 6 7 8 9 SUBTRACT
Calculate the area of the shaded section in this drawing.
The white shapes are squares with the same measurements.
24cm 6cm 12cm
A football team scores 48 goals in one season.
Sam scores one-third of them, Jack scores 25% of them, Ben scores 9 goals; the rest are scored by other players.
How many goals did the other players score?
Jody buys 2 boxes of chocolates each costing £9.99, 500g of sweets costing £2.80 Kg and 3 sheets of wrapping paper costing 95p a sheet.
She has a £5 note, two 50p coins and three 20p coins left.
How much money did Jody have to start with?
The perimeter of the regular octagon is 24cm.
The perimeter of the square is 12cm.
Jack makes the shape below from squares and octagons.
What is the perimeter of the new shape he makes?
Which three of these numbers are not in the correct place in the Venn diagram?
Even numbers 125 100 98 410 532 132 120 40 76 4 222 Numbers less than 100 95 21 101 13 63
Final
The lines of numbers each add up to 150.
Which numbers are needed to to complete each line?
45 35 70 30 20 100 60
£25.49
£45.49
The sports’ shop A. What is the difference in price between the most expensive and least expensive item?
£125 - £25.49 = £99.51
£99.51
£125.00
£44.99
B. Ashley has three £20 notes. She buys an item and has £14.51 change.
Which item did Ashley buy?
£60 - £14.51 = £45.49
Football boots
The difference between two numbers is 19.
The total of the same two numbers is 91.
55 What are the two numbers?
36 55 - 36 = 19 55 + 36 = 91
Amy arrives for an appointment.
She looks at her watch it says 13:05.
She finds that she is 45 minutes late.
What time was her appointment for?
12:20
Different forms of the same answer are acceptable
This shape is made from 16 cubes altogether.
How many cubes are hidden?
4
The height of a plant doubles every week.
Jade measures her plant in week one.
It is 20mm high.
How many more weeks will it take for the plant to be at least 64cm high?
5 weeks
Karen’s regular pentagon has sides measuring 9cm.
Lucy’s regular hexagon has a perimeter of twice the perimeter of Karen’s pentagon.
What is the length of one side of Lucy’s hexagon? Perimeter of pentagon 45cm Perimeter of hexagon 90cm Side of hexagon 90cm ÷ 6 = 15cm
15cm
5 7 9 9 9 27 5 9 21 23 19 17 19 Each shape stands for a number.
The columns and rows add up to the totals shown.
What is the value of a square?
7
Use all the letters in this circle to make the names of two shapes.
All letters must be used. There is only one solution.
C Y L I N D E I I R C O N E
A litre of water weighs 1kg.
Joe’s water bottle when full holds 1.5 litres of water.
The bottle and water weigh 1650g altogether.
What is the weight of the bottle?
150g 150g 150g 150g 150g 150g 150g 150g 150g 150g 150g 150g
The circle fits inside a square and has a radius of 13cm.
What is the perimeter of the square?
26cm Diameter of circle is 26cm (twice the radius) The sides of the square are the same length as the diameter.
26cm x 4 = 104cm
104cm
The table shows times taken for six children to run 400m.
Child Jack Jordan Sam Ben David Peter Time in sec.
74.25
72.66
71.89
75.22
What is the difference between the fastest and slowest times?
80.19sec. - 68.34sec. = 11.85sec.
The graph shows the favourite snacks of a group of 50 boys and girls.
Girls 10 Boys 8 8 24 Boys 5 4 1 0 How many boys were in the survey?
10 + 8 + 1 + 5 = 14
Theatre tickets cost £12.00.
Children’s tickets are £4.50 cheaper.
A family of 2 adults and 3 children go to the theatre.
How much do the tickets cost altogether for the family?
Children’s tickets cost £7.50.
2 adult tickets cost £24.00.
3 children’s tickets cost 3 x £7.50 = £22.50
Total cost £46.50.
£46.50
225
Which number am I?
I am a 3-digit number.
225
I am less than 250 but more than 200.
My digits add up to nine.
225
Two of my digits are the same.
I am a square number.
225 225 225 225 225 225 225 225 225
The dotted line is the mirror line.
Which of the shapes below is a reflection of this shape?
A B D C F
The triangle in this drawing is equilateral. It joins an oblong as shown. What is the size of angle A?
A 180 0 - (90 0 + 60 0 ) = 180 0 - 150 0 = 30 0 30 0
This stack of cubes is made from similar cubes.
The total height is 56cm.
What is the area of any one face of any cube?
7 cubes.
Each cube is 8cm tall.
One surface or square face = 8cm x 8cm = 64cm 2 8cm 64cm 2 8cm
What is 25% of seven-tenths of 400?
One-tenth of 400 is 400 ÷ 10 = 40 Seven-tenths of 400 is 40 x 7 = 280 25% of 280 is 280 ÷ 4 = 70
70
The lines of numbers each add up to 150.
Which numbers are needed to to complete each line?
45 35 100 60
£25.49
The sports’ shop A. What is the difference in price between the most expensive and least expensive item?
£45.49
£125.00
B. Ashley has three £20 notes.
She buys an item and has £14.51 change.
Which item did Ashley buy?
£44.99
The difference between two numbers is 19.
The total of the same two numbers is 91.
What are the two numbers?
Amy arrives for an appointment.
She looks at her watch it says 13:05.
She finds that she is 45 minutes late.
What time was her appointment for?
This shape is made from 16 cubes altogether.
How many cubes are hidden?
The height of a plant doubles every week.
Jade measures her plant in week one.
It is 20cm high.
How many more weeks will it take for the plant to be at least 64cm high?
Karen’s regular pentagon has sides measuring 9cm.
Lucy’s regular hexagon has a perimeter of twice the perimeter of Karen’s pentagon.
What is the length of one side of Lucy’s hexagon?
21 23 19 17 27 19
Each shape stands for a number.
The columns and rows add up to the totals shown.
What is the value of a square?
Use all the letters in this circle to make the names of two shapes.
All letters must be used. There is only one solution.
E R I O N C Y E N L D C
A litre of water weighs 1kg.
Joe’s water bottle when full holds 1.5 litres of water.
The bottle and water weigh 1650g altogether.
What is the weight of the bottle?
The circle fits inside a square and has a radius of 13cm.
What is the perimeter of the square?
The table shows times taken for six children to run 400m.
Child Jack Jordan Sam Ben David Peter Time in sec.
74.25
68.34
72.66
71.89
75.22
80.19
What is the difference between the fastest and slowest times?
The graph shows the favourite snacks of a group of 50 boys and girls.
Girls Boys 8 4 0 How many boys were in the survey?
Theatre tickets cost £12.00.
Children’s tickets are £4.50 cheaper.
A family of 2 adults and 3 children go to the theatre.
How much do the tickets cost altogether for the family?
Which number am I?
I am a 3-digit number.
I am less than 250 but more than 200.
My digits add up to nine.
Two of my digits are the same.
I am a square number.
The dotted line is the mirror line.
Which of the shapes below is a reflection of this shape?
A B D E C F
The triangle in this drawing is equilateral. It joins an oblong as shown. What is the size of angle A?
A
This stack of cubes is made from similar cubes.
The total height is 56cm.
What is the area of any one face of any cube?
What is 25% of seven-tenths of 400?
Final
Which of these shapes do not have a line of symmetry?
B C A D E
A, C, F
F
6 Which of these numbers have 3, 4 and 6 as factors?
9 16 42 30 56 18
What weight is indicated by the pointer on this scale? 4Kg 3.75Kg or 3.750Kg 3750g or 3Kg 750g 2Kg
Shannon earns £7.45 a week from her paper round. She spends £5.95 a week and saves the rest.
How much has she saved after 8 weeks?
£7.45 - £5.95 = £1.50
£1.50 x 8 = £12
£12
Which two signs must you put in this equation to make the number sentence correct?
A B
Which of the three shapes below will fit together to make the large square?
A B C B, D & E D E
The graph shows the range of scores out of 30 in a maths test.
40 30 20 20 15 0 0 - 5 6 - 10 11 - 15 16 - 20 21 - 25 26 - 30 10 A. How many children scored between 0 and 5 marks?
B. How many children scored more than 15 marks?
65
8 Three-fifths of a number is 24.
What is a quarter of the number?
The whole number Three-fifths is 24 8 8 8 The whole number is 40 quarter of 40 is 40 ÷ 4 = 10 8 10
Which of these statements are true and which false?
true A. the dotted line is perpendicular to the solid line.
A true B. The value of angle A is 60 0 false C. The radius of a circle is the distance across the circle from side to side going through the centre.
Five children are going to play tennis.
They play each other once.
How many games are played altogether?
10 10 10 10 10
The bead pattern is continuous.
A. What colour will the 46th bead be, white or shaded?
shaded B. What number in the sequence will the 16th white bead be?
28
7 George wants to shade ¾ of this square.
How many more small squares does he need to shade? There are sixteen small squares.
¾ of 16 = 12.
Shade in any 7 extra squares
Amy has a DVD recording disc that lasts 3 hours.
She records a programme that lasts fifty minutes.
Later she records a programme that lasts one hour and a half.
How many minutes of recording time are left on the disc?
40 minutes
The angles of a quadrilateral add up to 360 0 The triangle is isosceles.
What is the size of the angle at A?
These two angles total 180 0 - 50 0 = 130 0 130 0 A 0 50 0 130 0 This is a quadrilateral Angle A is 360 0 - (130 0 + 130 0 ) = 100 0
Ben is building a fence along the side of his garden.
He uses panels 2m long and a post every metre.
18 metres A.
B.
How many panels does he need?
How many posts does he need?
(Think carefully) 9 19
Read the passage carefully.
How many times does the letter ‘c’ appear in the passage?
19
Sam has some books that he wants to put on new shelving.
The books weigh 43 Kg altogether.
The shelves he buys each take a maximum load of 5 Kg.
Each shelf costs £15.
A.
B.
How many shelves does Sam need to buy?
9 How much does Sam pay for the shelves altogether?
£135
A machine cuts metal discs from a sheet like the one shown. The drawing does not show all the discs that may be cut from a sheet. The area of each disc is 5cm 2 .
40 cm 60 A.
How many discs can be cut from 1 sheet? B.
What is the area of waste material left on each sheet after cutting?
20cm 2 Area of sheet = 320cm 2.
Area of cut discs = 60 x 5 = 300 cm 2 Area remaining = 320cm 2 - 300cm 2 = 20cm 2
Which of these shapes do not have a line of symmetry?
B C A D E F
6 Which of these numbers have 3, 4 and 6 as factors?
9 72 16 42 12 36 30 56 18
What weight is indicated by the pointer on this scale? 4Kg 2Kg
Shannon earns £7.45 a week from her paper round. She spends £5.95 a week and saves the rest.
How much has she saved after 8 weeks?
Which two signs must you put in this equation to make the number sentence correct?
A B ( 6 6 ) 6 = 42
Which of the three shapes below will fit together to make the large square?
A B C D E
The graph shows the range of scores out of 30 in a maths test.
40 20 0 0 - 5 6 - 10 11 - 15 16 - 20 21 - 25 26 - 30 A. How many children scored between 0 and 5 marks?
B. How many children scored more than 15 marks?
Three-fifths of a number is 24.
What is a quarter of the number?
Which of these statements are true and which false?
A. the dotted line is perpendicular to the solid line.
A B. The value of angle A is 60 0 C. The radius of a circle is the distance across the circle from side to side going through the centre.
Five children are going to play tennis.
They play each other once.
How many games are played altogether?
The bead pattern is continuous.
A. What colour will the 46th bead be, white or shaded?
B. What number in the whole sequence will the 16th white bead be?
George wants to shade ¾ of this square.
How many more small squares does he need to shade?
Amy has a DVD recording disc that lasts 3 hours.
She records a programme that lasts fifty minutes.
Later she records a programme that lasts one hour and a half.
How many minutes of recording time are left on the disc?
The angles of a quadrilateral add up to 360 0 The triangle is isosceles.
What is the size of the angle at A?
130 0 130 0 A 50 0
Ben is building a fence along the side of his garden.
He uses panels 2m long and a post every metre.
18 metres A.
B.
How many panels does he need?
How many posts does he need?
(Think carefully)
Circles with curves, cylinders, cones and cubes are geometric constructions or structures. The mathematical connection is that they are shapes. Isosceles, congruent and calculate are considered mathematical terms.
Read the passage carefully.
How many times does the letter ‘c’ appear in the passage?
Sam has some books that he wants to put on new shelving.
The books weigh 43 Kg altogether.
The shelves he buys each take a maximum load of 5 Kg.
Each shelf costs £15.
A.
B.
How many shelves does Sam need to buy?
How much does Sam pay for the shelves altogether?
A machine cuts metal discs from a sheet like the one shown. The drawing does not show all the discs that may be cut from a sheet. The area of each disc is 5cm 2 .
40 cm A.
B.
How many discs can be cut from 1 sheet?
what is the area of waste material left on each sheet after cutting?