1 / 39

Primary Schools’ Mathematics Challenge 2008 Final Round Questions

A selection of challenging math questions from the 2008 final round of the Primary Mathematics Challenge, with answers provided. Test your math skills with these diverse questions.

paulguzman
Download Presentation

Primary Schools’ Mathematics Challenge 2008 Final Round Questions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Primary Schools’ Mathematics Challenge 2008Final Round Questions Here is a selection of questions asked over two rounds. To access answers left click mouse and an automated sequence will appear. The questions may very slightly from those presented and are not in the order they were asked.

  2. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL The sum of three consecutive numbers is 15. What is their product? The consecutive numbers are 4 5 6 Their product is 4 x 5 x 6 = 20 x 6 = 120 Clue: 97, 98, 99, 100 and 101 are consecutive numbers.

  3. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL The top number is the product of the two numbers below The bottom number is the difference between the two numbers above Which numbers could be missing from the grid below? Two possible answers 45 117 5 13 9 9 4 4

  4. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL An oval dog racing track is 240 metres all round. Jack the Flash wins a three lap race in a time of 1 min. 30 seconds. How many metres does the dog run on average per second? The dog travels 720 metres (3 x 240m) in 90 seconds Divide 720m by 90. 720m ÷ 90 = 8m per second on average Quick isn’t he?

  5. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL 2 + 6 8 + 10 - 8 2 2 x 5 10 + 9 ÷ 3 3 10 + 6 X 5 30 13 + 6 15 - 9 40 40 19 19 + A 59 The grid is completed by adding together the boxes as shown by the arrows. Which number fits into box A?

  6. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL Which five numbers are missing from this number track? 75 56 25 x3 Minus 19 Divide by 8 50 49 7 Add 1 Multiply by 7

  7. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL The rule for this sequence is find a quarter and add 11. Write in the two missing numbers in the sequence below. 4 12 14 14.5 ¼ of 12 is 3. 3 + 11 make 14 ¼ of 14 is 3.5 3.5 + 11 make 14.5

  8. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL The rectangle has the same perimeter as the square. What is the length of the shorter side of the rectangle? The length of one side is 9cm Square Area 81cm2 The perimeter is 36cm (9cm x 4) The perimeter is 36cm Two of the sides total 21.5 cm (10.75 x 2) The other two sides total 36 - 21.5 = 14.5 cm 10.75 cm The short side is 14.5cm ÷ 2 The short side is 7.25cm

  9. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL Tom finds the denominator of a fraction by calculating three-fifths of 25. He finds the numerator by finding a quarter of a half of 16 What is Tom’s fraction? 2 15 2 15

  10. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL Here are six number cards. The 12 card must be used in each fraction. 16 3 12 4 8 9 Use the cards to make two different fractions equivalent to ¾ 9 12 12 16

  11. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL What fraction of the large square is not shaded grey? The denominator is 16. 10 squares are not grey The fraction not shaded is 10/16 or 5/8

  12. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL Add 0.25 to each of the decimal fractions below. 0.15 0.35 0.05 0.5 0.55 Rewrite the new decimal fractions in order starting with the largest. Add 0.25 to each decimal 0.15 0.4 0.35 0.6 0.05 0.3 0.5 0.75 0.8 0.55 Rewrite starting with the largest decimal 0.8 0.75 0.6 0.4 0.3

  13. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL This diagram is placed in the middle of a square grid. The new grid is the same height as the diagram shown What percentage of the new large square grid is red? Because the diagram is five squares high the new big square is made up of 25 smaller squares. The diagram fits in the middle. Three out of the 25 squares are red. As a percentage this is 12 out of 100 or 12%

  14. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL Which mathematics terms are hidden in these anagrams? S P P U A T E P A L Y ALL PALER PARALLEL Y A A N A A S A F E T MYSTERY M SYMMETRY M R R E S P A R` A L E ALL CUT ACE CALCULATE C C A A A L L C C U U L L A A T T E E N E L L A C T Y L S Y M T L L S Y M M E T R Y S Y M M E T R Y Y E E T C M E L I N K R L L S Y M E L Z X P Then find your answers on the word search grid.

  15. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL Three mathematical words are mixed up in this circle of letters. Each word must contain the centre letter A once only T T U U Q Q R R S S Q Q Q S Q U A R E E E E E L L E Q U A L A G G I I T R I A N G L E E E E E U U U R R N N L L

  16. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL You have a zero to ninety-nine hundred square. 11 + 9 = 20 A. How many times does the 9 digit appear? B. Which digit appears the least number of times? 0 ten times 0 0 1 2 3 4 5 6 7 8 9 9 10 10 11 12 13 14 15 16 17 18 19 19 20 20 21 22 23 24 25 26 27 28 29 29 30 30 31 32 33 34 35 36 37 38 39 39 11 times 40 41 42 43 44 45 46 47 48 49 10 times 40 49 50 50 51 52 53 54 55 56 57 58 59 59 60 60 61 62 63 64 65 66 67 68 69 69 70 70 71 72 73 74 75 76 77 78 79 79 80 80 81 82 83 84 85 86 87 88 89 89 90 90 90 91 91 92 92 93 93 94 94 95 95 96 96 97 97 98 98 99 99 9 times

  17. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL All the triangles in this shape are equilateral. The perimeter of the large triangle is 108cm. What is the perimeter of the blue rhombus made by the two equilateral triangles? The side of the large triangle is 108cm ÷ 3 = 36cm One side of the rhombus is 36cm ÷ 2 = 18cm The perimeter of the rhombus is 18cm x 4 = 72cm

  18. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL Use the symbols < > = to make these number sentences correct A. ( 2 x 19 ) + 15 13 x 4 > 38 + 15 = 53 52 B. 10 x 10 x 10 40 x 25 = 1000 1000 C. 9.9 - 3.3 9.3 - 3.9 > 6.6 5.4

  19. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL A bag of crisps weights 25g How many bags of crisps are in a box if its contents weigh 2Kg? 2 Kg = 2000 g 2000 g ÷ 25 = 80

  20. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL In a sale a shop makes the following offer: Buy one item and get a second item at a 20% discount. The discount applies to the cheaper item bought. Jack buys a football and a pair of trainers. How much does he pay altogether? 20% is the same as one-fifth The football is cheaper so £10.50 ÷ 5 (20%) = £2.10 this is his discount. He pays £10.50 - £2.10 = £8.40 for the football £25.49 For the trainers and the football Jack pays £25.49 + £8.40 = £33.89 £19.99 £10.50

  21. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL School starts at 8:50 a.m. Amy arrives 13 minutes early. Ben is late. Ben and Amy arrive 35 minutes apart. What time does Ben arrive at school? Amy arrives at ( 8:50 - 13min. ) 8:37 Ben arrives at ( 8:37 + 35min. ) 9:12

  22. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL A B C Jade has three Russian Dolls. Each doll is 1½ (1.5) times bigger than the previous one. How tall are dolls A and C? 18cm Doll A is 12 cm. 18 cm ÷ 1.5 = 12 cm Doll C is 27 cm. 18 cm x 1.5 = 27 cm

  23. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL A transit van and its parcels weigh 2.25 Tonnes altogether. The van weighs 1.75 Tonne. Jack loads the van with 125 similar parcels. How much does each parcel weigh? Altogether the parcels weigh 2.25T - 1.75 T = 500 Kg (2250 Kg - 1750 Kg) Each parcel weighs 500 Kg ÷ 125 = 4 Kg

  24. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL Look at the three separate problems below. A = 19 + y B = y2 C = (5 x y) - (120 ÷ y) y = 15, what is the answer to each problem? A. 19 + 15 = 34 B. 15 X 15 = 225 C. 75 - 8 = 67

  25. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL Amy is facing east. She turns anti-clockwise to face north-west Through how many degrees does she turn? N N..W. 450 900 W E 900 + 450 = 1350

  26. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL Isosceles triangles A and B are the same size. What is the value of angle X? X B This angle is also 200 because the triangles are the same size. A 800 800 This angle is 1800 - (800 + 800) = 1800 - 1600 = 200 Angle X is 1800 - (200 + 200) = 1800 - 400 = 1400

  27. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL D E C B A Sam is snookered on all the reds. He plays his shot along the line shown by the white dots. Which red is he most likely to hit if the ball bounces off the cushion at a right angle? A

  28. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL Art gallery ENTRY FEE £1.25 per person 220 people went to the art gallery on Saturday. How much money is this altogether? £1.25 X 220 = £275

  29. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL Five friends have the weights shown below. Amy 42 Kg, Ben 51 Kg Jade 46Kg Laura 51Kg Tom 47Kg What is the difference in Kg between their modal weight and their median weight? Their modal weight is 51 Kg Their median weight is 47 Kg 51 Kg - 47 Kg = 4 Kg

  30. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL You may use the symbols + - x ÷ once only. Complete these equations (number sentences) 5 4 = x 60 3 ÷ 15 7 = - 7 1 +

  31. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL Here is part of a multiplication problem solved by using the grid method. x 30 5 20 600 100 700 4 120 20 140 What is the answer to the calculation when complete? 700 + 140 = 840

  32. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL Use the rules to find the next number in each sequence 32 Rule: Add 9 5 14 23 Rule: Multiply by 4 4 16 64 256 96 Rule: Subtract 8 120 112 104 Find he sum of your three answers 32 + 256 + 96 = 384

  33. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL Find the total of all the prime numbers between 1 and 20. Multiply your result by three. 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 Total 77 77 x 3 = 231

  34. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL The diagram shows some shapes on a square grid A B C a. Which two shapes have the same area as A? b. Which two shapes have the same perimeter as A? D E Shape A has an area of 3 units. Shapes B and E have the same area Shape A has a perimeter of 4 small units and 2 longer units. Shapes D and E have the same area

  35. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL Which of these shapes have at least one line of symmetry? A C E B D F A, C, D, F

  36. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL Which of the shapes on the grid have more than 1 line of symmetry? A B D C E F G Shapes B D E

  37. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL The shape below is rotated 900 degrees clockwise Which shape below that shows its new position? A B C D E F

  38. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL The top line of the rectangle goes through the centre of each of the three similar circles. The perimeter of the rectangle is 32cm. 4 cm What is the radius of each circle? The longer side of the rectangle is 12 cm The diameter of each circle is 12 cm ÷ 3 = 4cm The radius of each circle is 4 cm ÷ 2 = 2cm

  39. PRIMARY MATHEMATICS CHALLENGE 2008 - FINAL y A. What are the co-ordinates of the centre of the square? 6 4 B. What are the co-ordinates of the junction of the two straight lines that make a cross ? 2 x 0 2 4 6 8 A ( 3, 4 ) B ( 7, 3 )

More Related