A selection of questions from the semi - final and final rounds

Slides with a black background are presentation and answer slides. Click on the green dot to activate answer sequence Slides black on white are printable, non-animated versions.

Semi - final

Which two numbers in this chart add up to 1000?

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? £4.00 Joe has £1 + 60p + 15p = £1.75 He needs £4 - £1.75 = £2.25 more

The graph below shows how 50 children travel to school. 020 Bicycle Bus Car Walk A.How many children walk to school? B.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 The two shorter sides total 21cm The three longer sides total 90cm - 21cm = 69cm One longer side is 69cm ÷ 3 = 23cm 23cm

Which three 2-d shapes are hidden? All the letters must be used. QEESRTAKIIANUEGRLTQEESRTAKIIANUEGRLTQEESRTAKIIANUEGRLT Q E ESR T A K I I AN U EGRL T

If you add together the numbers inclusive, what is your total? = = = = 21 Add each pair of numbers until = 21 This will make ten lots of x 21 = 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 Y Z Angle A is 50 0

The price of this guitar is increased by 15%. What is its new price? £380 To find 15% first find 10%. 10% 0f £380 is £38. 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? 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. 6 min.

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. A3.4 x 3 = B = C = D30.9 ÷ 3 = A3.4 x 3 = 10.2 B = 10.5 C = 10.1 D30.9 ÷ 3 = 10.3 CADB

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

Four of the shapes in this diagram are in the wrong place. Write the letters of those shapes. QuadrilateralsMore than 4 sides Symmetrical Not symmetrical A B CDEF GH I J CF G I CFGI CF G I

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? There are 12 x 10 stamps on a sheet = 120 stamps There are 120 x 5 stamps altogether = 600 stamps 600 8p each = 4800p or £48

What are the co-ordinates of the centre of this square? x y (-2,3) 0 (1, 3)

What are the weights shown by the arrows on the scale? 400g500g BA 350g450g550g 375g 525g A 525g B 375g

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) = = ÷ 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?

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. 020 Bicycle Bus Car Walk A.How many children walk to school? B.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. QEESRTAKIIANUEGRLT

If you add together the numbers inclusive, what is your total?

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 Y Z 80 0

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. A3.4 x 3 = B = C = D30.9 ÷ 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

Four of the shapes in this diagram are in the wrong place. Write the letters of those shapes. QuadrilateralsMore than 4 sides Symmetrical Not symmetrical A B CDEF GH I J

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? x y (-2,3) 0

What are the weights shown by the arrows on the scale? 400g500g B A

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 5cm What is the perimeter of the new shape? 10cm 5cm 30cm

The graph shows the most popular sandwiches brought to school for lunch. Chicken Cheese Tuna Egg Ham 020 A.Which was the least favourite sandwich? B.Which two types of sandwich were liked equally? C.How many cheese sandwiches and ham sandwiches were liked altogether? Tuna and chicken Egg 35

Each weight this size is 200g The scales balance with five weights What does each weigh 120g 600g 600g ÷ 5 = 120g

Which numbers are missing from this sequence? The rule is subtract 2 and double your answer

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? 5 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? 30 One-eighth is 48 ÷ 8 = 6 children. Three-eighths are 6 x 3 = 18 boys. 48 children - 18 boys = 30 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? 17:09

Which of these statements are true and which are false? A.All quadrilaterals have at least one line of symmetry B.All prime numbers are odd. C.The number 91 has both 7 and 13 as factors. D.A triangle with 2 equal sides and 2 equal angles is isosceles. E.100mm make 1 metre. T F F F T

20% of a number is equal to 80. What is the number? % x 5 = 100% To find the number multiply 80 by x 5 = 400

The conversion graph shows the exchange between Euros (E) and Pounds (£) £70 £35 0 E50E100 A. Ben goes to Spain. He exchanges £56. How many Euros does he receive? B. Amy comes back from France with E30. How many pounds can she change this back into? A. Ben goes to Spain. He exchanges £56. How many Euros does he receive? E80 £21 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 SUBTRACT c

Calculate the area of the shaded section in this drawing. The white shapes are squares with the same measurements. 24cm 12cm 6cm 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 cm 2 = 216cm 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? 11 goals One-third of 48 goals is 16 goals. 25% of 48 goals is 12 goals = 37 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? Chocolates (£19.98) + sweets (£1.40) + wrapping paper (£2.85) = £ £30.83 Jody has £5 + £ p = £6.60 left Jody started with £ £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 Numbers less than , 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. Chicken Cheese Tuna Egg Ham 020 A.Which was the least favourite sandwich? B.Which two types of sandwich were liked equally? C.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

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?

Which of these statements are true and which are false? A.All quadrilaterals have at least one line of symmetry B.All prime numbers are odd. C.The number 91 has both 7 and 13 as factors. D.A triangle with 2 equal sides and 2 equal angles is isosceles. E.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 £35 0 E50E100 A. Ben goes to Spain. He exchanges £56. How many Euros does he receive? 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 SUBTRACT

Calculate the area of the shaded section in this drawing. The white shapes are squares with the same measurements. 24cm 12cm 6cm

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 Numbers less than

Final

The lines of numbers each add up to 150. Which numbers are needed to to complete each line?

The sports’ shop £25.49 £45.49 £ £44.99 A. What is the difference in price between the most expensive and least expensive item? B. Ashley has three £20 notes. She buys an item and has £14.51 change. Which item did Ashley buy? £99.51 £125 - £25.49 = £99.51 £60 - £14.51 = £45.49 Football boots

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? 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? 15cm Perimeter of pentagon 45cm Perimeter of hexagon 90cm Side of hexagon 90cm ÷ 6 = 15cm

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. EE N C N N I YY I E D L E L C C OO RR D EN N CYI E L CO RD C N

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

The circle fits inside a square and has a radius of 13cm. What is the perimeter of the square? 104cm Diameter of circle is 26cm (twice the radius) The sides of the square are the same length as the diameter. 26cm 26cm x 4 = 104cm

The table shows times taken for six children to run 400m. ChildTime in sec. Jack74.25 Jordan68.34 Sam72.66 Ben71.89 David75.22 Peter sec sec sec sec sec. = 11.85sec. What is the difference between the fastest and slowest times?

The graph shows the favourite snacks of a group of 50 boys and girls. Frequency Girls Boys How many boys were in the survey? Boys = 14

Theatre tickets cost £ 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? £46.50 Children’s tickets cost £ adult tickets cost £ children’s tickets cost 3 x £7.50 = £22.50 Total cost £46.50.

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. 225

The dotted line is the mirror line. Which of the shapes below is a reflection of this shape? A B C DEFEE

The triangle in this drawing is equilateral. It joins an oblong as shown. What is the size of angle A? A ( ) = = 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

What is 25% of seven-tenths of 400? 70 One-tenth of 400 is 400 ÷ 10 = 40 Seven-tenths of 400 is 40 x 7 = % of 280 is 280 ÷ 4 = 70

The lines of numbers each add up to 150. Which numbers are needed to to complete each line?

The sports’ shop £25.49 £45.49 £ £44.99 A. What is the difference in price between the most expensive and least expensive item? B. Ashley has three £20 notes. She buys an item and has £14.51 change. Which item did Ashley buy?

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?

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 N C N I Y E D L C O R

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. ChildTime in sec. Jack74.25 Jordan68.34 Sam72.66 Ben71.89 David75.22 Peter80.19 What is the difference between the fastest and slowest times?

The graph shows the favourite snacks of a group of 50 boys and girls. Frequency Girls Boys How many boys were in the survey?

Theatre tickets cost £ 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? ABC D E 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? A B C D E F A, C, F

Which of these numbers have 3, 4 and 6 as factors?

What weight is indicated by the pointer on this scale? 4Kg 2Kg 3.75Kg or 3.750Kg 3750g or 3Kg 750g

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? £12 £ £5.95 = £1.50 £1.50 x 8 = £12

Which two signs must you put in this equation to make the number sentence correct? ( 6 6 ) 6 = 42 AB X+

Which of the three shapes below will fit together to make the large square? A B C D E B, D & E

The graph shows the range of scores out of 30 in a maths test Number of children 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? 10 The whole number Three-fifths is The whole number is 40 quarter of 40 is 40 ÷ 4 = 10

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. false true

Five children are going to play tennis. They play each other once. How many games are played altogether? 10

The bead pattern is continuous. A. What colour will the 46th bead be, white or shaded? B. What number in the sequence will the 16th white bead be? shaded 28

George wants to shade ¾ of this square. How many more small squares does he need to shade? 7 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 The triangle is isosceles. What is the size of the angle at A? A These two angles total = This is a quadrilateral Angle A is ( ) = 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.How many panels does he need? B.How many posts does he need? (Think carefully) 9 19

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? 19 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.

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.How many shelves does Sam need to buy? B.How much does Sam pay for the shelves altogether? 9 £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 cm 8 cm A.How many discs can be cut from 1 sheet? B.What is the area of waste material left on each sheet after cutting? 60 20cm 2 Area of sheet = 320cm 2. Area of cut discs = 60 x 5 = 300 cm 2 Area remaining = 320cm cm 2 = 20cm 2

Which of these shapes do not have a line of symmetry? A B C D E F

Which of these numbers have 3, 4 and 6 as factors?

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? ( 6 6 ) 6 = 42 AB

Which of the three shapes below will fit together to make the large square? AB C D E

The graph shows the range of scores out of 30 in a maths test Number of children 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 The triangle is isosceles. What is the size of the angle at A? A

Ben is building a fence along the side of his garden. He uses panels 2m long and a post every metre. 18 metres A.How many panels does he need? B.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.How many shelves does Sam need to buy? B.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 cm 8 cm A.How many discs can be cut from 1 sheet? B.what is the area of waste material left on each sheet after cutting?