# Primary Mathematics Challenge

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Primary Mathematics Challenge. A selection of questions 2007. Sample semi-final question. Look at the continuous sequence of squares below. 53 rd square. What colour will the fifty-third square be?. Answer - red. Answer sequence. Sample semi-final question. - PowerPoint PPT Presentation

### Text of Primary Mathematics Challenge

• N. E. Lincolnshire Mathematics Team

• Sample semi-final questionLook at the continuous sequence of squares belowAnswer sequenceWhat colour will the fifty-third square be?Answer - red53rd square

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceThe sum of two numbers is 15Their difference is three.

What is their product?549 + 6 = 15 is their sum or total9 - 6 = 3 is their difference9 x 6 = 54 is their product (multiplied together)

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceJack draws the shape belowHow many rectangles can be found in the drawing?16376

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceIn a box of dominoes there are seven double tilesWhat is the total number of spots on the seven doubles tiles altogether?42

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceThe perimeter of this rectangle (oblong) is 48 cm. The rectangle is three times as long as it is wide How long and how wide is the rectangle?18 cm long6 cm wideThe width and length shown in blue are 24 cm long altogetherThe width is a quarter of 24 cm and the length three-quarters of 24 cm

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceShirt 12.99Sports shoes 16.49Cap 9.50Tom buys a cap, Amy buys shoes and Jack buys a shirt.Each child pays with a 20 note.How much change does each child receive?Jack 7.01Amy 3.51Tom 10.50Subtract each price from 20.

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceJoe thinks of two 2-digit numbers both less than seventy-five.Both numbers have 6, 3 and 5 as factors.One number is half the size of the other.What are the two numbers?6030

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceTo score a total of 10 on two standard dice you would need to throw a 6 and a 4 or two fives.If you had three dice what are the combinations of scores you could throw to make a total of 10?226154334244316532These may be thrown in any order

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceThe graph shows the percentage scored by 7 children in a test JadePaulLeeAmyJackTomChelsey0102030405060809010070A. Who scored exactly 30% less than Amy?B. What did Paul score in his last test if this score was double his last score?C. Which two children scored exactly 55%between them?A. ChelseyB. 35% ( of 70%)C. Tom and Jade

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceThe radius of the yellow circle is 12 cm and x is the centre of the circleWhat is the area of the red rectangle (oblong)?288 cm2The width of the rectangle equals the radius of the circle 12 cm The length of the rectangle is twice the radius of the circle 24 cm The area of the rectangle is 12 cm x 24 cm = 288 cm2x

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceThe circumference of a bicycle wheel is 140 cmHow far in metres does the wheel travel in thirty revolutions?The wheel travels 140 cm x 30 = 4200 cm42 m4200 cm is the same distance as 42 metres

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceChloe makes a square with four sticksShe then uses some more sticks to make another square on the sideShe continues the pattern in the same way adding more squares. She uses 19 sticks altogetherHow many squares are there in her completed sequence?64710131619

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceThree-fifths of a number is 45What is one-third of the same number?25If three-fifths of the number is 45 then one-fifth is 45 3 = 15One-third of the number is 75 3 = 25 .NumberThree-fifths45The whole number is 15 multiplied by 5 = 75.1515157575252525Two-fifths1515

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceTriangle ABC is equilateralXABCWhat is the value of angle X?1200There are many different ways to find this answer.How many can you find?

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceWhich numbers are missing from these number sentences?A. - 7 = 35B. X 7 = 35C. + 7 = 35D. 7 = 95286342

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceThese shapes each have properties in common.Identify 2 common propertiesAll quadrilateralsAll have parallel linesAll have at least one line of symmetrySome possibilities

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceJack makes five statements. Some are true, some are false.A. All squares are rectangles, but not all rectangles are squaresB. An isosceles triangle has two right anglesC. To multiply any number by 10 just put a zero on the endD. For every decimal fraction there is an equivalent ordinary fractionE. A regular pentagon has five lines of symmetryWrite T or F next to each statementTFFTT

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceJade starts with an even number. She doubles it.She continues to double until she reaches 144.What are the other numbers in her sequence before she reaches her total?144723618Start with 144 and continue halving until she reaches her starting number.

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceHow many different triangles can you find in this drawing?12348

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceTwo of these nets will not make a closed cube.ABCDEWrite the letters of the nets that will make a closed cube

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceIn a football match the score at half time is 1 0 to the home side.In the second half three more goals are scored.What are the possible full-time results?Include both home and away possibilities.4 - 03 - 12 - 21 - 3

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceA ream of A4 paper is 500 sheets.The height of a ream is 5.5 cmWhat is the thickness of one sheet of paper in millimetres?0.11 mmChange 5.5 cm to 55 mm.Divide 55m by 500 = 0.11mm

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceHere are some lists.Which is the odd one out in each list?1a 0.4 b. Two-fifths c. 40% d. 16 e. 4% 402a 25 x 15 b. 750 0.5 c. 250 + 125 d. 750 e. 1000 - 625 23a rhombus 3b pollygon 3c paralellogram 3d isocseles 3e trapesium

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceEach apex of the red equilateral triangle is in the centre of a circle.The circles are the same size.The perimeter of the triangle is 45 cmWhat is the radius of each of the circles?7.5 cmEach side of the triangle is 15 cm.The radius of these circles is half the length of one side of the triangle15 cm 2 = 7.5 cm

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceA shop reduces the price of sports shoes by 20%The new price is 60What was the original price of the shoes?75The new price is four-fifths of the old price.The new price is four parts of the old price, this is 60 4 = 15So the original price was 60 + 15 = 75

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceThere are three prime numbers between 80 and 100What is their total? 81 83 85 87 89 91 93 95 97 99 None of the even numbers can be prime in this case. This leaves -Can be divided by 3, 5 or 7 so are not prime numbers.Are prime numbers.83 + 89 + 97 = 269.269

N. E. Lincolnshire Mathematics Team

• Sample semi-final questionAnswer sequenceThe two triangles are isosceles and the same size.They each have a perimeter of 20.5 cm.AB6 cmHow long is line AB?17 cmThe two equal sides of each triangle are 6 am long because they are the same length as the short side of the rectangle.The third side is the perimeter of the triangles 20.5cm - 12 cm (the total length of the equal sides) = 8.5 cm Line AB is 2 x 8.5 cm = 17 cm

N. E. Lincolnshire Mathematics Team

• Sample final questionAnswer sequence1050AB7501050Two straight lines cross as shown in the drawingWhat is the size of angle A and angle B?Angle A is 1800 - 1050 = 750 Angle B is 1800 - 750 = 1050

N. E. Lincolnshire Mathematics Team

• Sample final questionAnswer sequence45015012510050555ABCThe sum of the edges of each of these squares is 1000Which three numbers are missing?400775395

N. E. Lincolnshire Mathematics Team

• Sample final questionAnswer sequenceSix people play each other once at golf. How many games are played altogether?15Player APlayer BPlayer CPlayer DPlayer EPlayer F5 GamesPlayer CPlayer DPlayer EPlayer F4 GamesPlayer DPlayer EPlayer F3 GamesPlayer EPlayer F2 GamesPlayer F1 Game

N. E. Lincolnshire Mathematics Team

• Sample final questionAnswer sequenceGavin weighs one-third more than Sally.Mum weighs twice as much as Gavin.Mum and dad weigh 140kg altogether.Sally weighs 24kg.How much do mum and dad each weigh?Gavin weighs 24kg + 8kg = 32kg.Mum

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