Challenging Puzzle Summer Sessions in Purple Week

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In a series of summer sessions, challenging puzzles involving magic squares, missing numbers, and mathematical calculations are presented. These puzzles require logical thinking and problem-solving skills to determine missing elements and solve equations. Can you crack these brain teasers and complete the tasks correctly?

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Purple - Summer 1

Summer 1 - Purple Week 1 Session 1 1 8 x 6 x 10 = 2 4217 + 766 = Complete the magic square so that all rows, columns and diagonals have the same total. 8 14+12 3 14= 4 638 1 = 5 180 30 = 6 7.3 + 1.845 = 7 5,000,000 + + 2 = 5,200,002 8 8 x 56 =

1 480 2 4,983 16 14 638 3 4 1 5 6 11 6 9.145 7 200,000 6 23 8 448

Summer 1 - Purple Week 1 Session 2 1 72 6 = 2 213 x 4 = 3 375,564 87,283 = 19 30+27 4 30= 5 - 70 = 328 6 700 - (77 7) = 2 5?9 7 16= 8

1 12 2 852 3 288,281 116 30 398 4 5 6 689 18 30 ?? ?????????? 34 7 8

Summer 1 - Purple Week 1 Session 3 1 90 x 70 = What are the coordinates of the missing corner of the rectangle? 2 546 7 = 3 0.01 10 = 4 5,483 x 1,000 = 5 8 4.55 = 6 7 4 - 10 = 22 5 13 8 4=

1 6,300 2 78 3 0.001 4 5,483,000 16,16 5 3.45 6 153,551 7 6 13 20 ?? ?????????? 8

Summer 1 - Purple Week 2 Session 1 1 x 10 x 5 = 300 2 678 + 2,876 = 14 19 8 19= A recipe requires 5 cups of flour to make 7 cookies. How many cups of flour will be needed to make 28 cookies? 3 4 708 = 708 5 22 = 3 ......... cups of flour 6 6.6 + 2.371 = 7 + 50,000 + 2 = 350,002 8 5 x 48 =

1 6 2 3,554 6 19 ?? ?????????? 1 3 20 cups of flour 4 5 66 6 8.971 7 300,000 8 240

Summer 1 - Purple Week 2 Session 2 1 174 6 = 2 187 x 4 = I'm thinking of a number. I take away 2 and then halve the result. The answer is 12 3 2,768 1,894 = 45 100 43 100= 4 What is the number I am thinking of? 5 - 300 = 6,720 6 10 + (54 6) = 8 9 ?1 7 3= 8

1 29 2 748 3 874 2 26 4 100 ?? ?????????? 7,020 5 6 19 8 27 ?? ?????????? 41 7 8

Summer 1 - Purple Week 2 Session 3 1 300 x 50 = 2 357 7 = Complete the table to show the properties of 4 shapes. 3 0.05 100 = 4 10 x 483 = 5 30 9.23 = 6 7 7 + 30 = 22 12+ 41 8 8=

1 15,000 2 51 3 0.0005 4 4,830 4 1 no 5 20.77 4 0 no 6 325,968 4 0 no 7 79 151 24 ?? 67 8 24

Summer 1 - Purple Week 3 Session 1 1 9 x 11 x 10 = 2 446 + 2,737 = 1 4+5 3 Two shops, A and B, both sell bouncy balls. 4= 4 1 = 17 5 102 17 = 6 16.46 + 6.714 = At which shop are the bouncy balls the best value for money? 7 2,200,300 = + 200,000 + 300 8 82 x 8 =

1 990 2 3,183 12 3 64 8 = 8p 45 5 = 9p 8 is less than 9, so shop A is cheaper 4 4 17 5 6 6 23.174 7 2,000,000 8 656

Summer 1 - Purple Week 3 Session 2 1 136 4 = 2 4 x 198 = The weighing scales show the mass of a pineapple. 3 5,155 3,316 = 11 32+26 4 32= 5 - 600 = 1,327 6 40 (70 35) = 1 4 ?5 7 4= How much do 11 pineapples weigh? 8

1 34 2 792 1.87 kg 3 1,839 15 32 1,927 4 5 6 38 8 16 ?? ?????????? 44 7 8

Summer 1 - Purple Week 3 Session 3 1 20 x 1100 = The bar graph shows the number of scooters a store sold in the last 4 days. 2 738 6 = 3 0.09 = 0.009 4 1,000 x 191 = 5 5 1.88 = 6 7 8 - 25 = 73 4 58 8 11= How many scooters did they sell altogether?

1 22,000 2 123 13 scooters 3 10 4 191,000 5 3.12 6 67,445 7 39 89 44 ?? 21 8 44

Summer 1 - Purple Week 4 Session 1 6 15+2 1 3= 2 The sequence 4, 7, 10, 13, 16,... can be expressed as 3n+1, where n is the term. a) Express the sequence 6, 10, 14, 18,... where n is the term. 3 15 x 13.2 = 4 5.4 x 30 = 1 6+1 4 25 4 = 4+1 5 8= b) What is the 10th term? 6 c) What is the value of n if the answer is 26? 7 x 0.5 = 24 8 85% of 290 =

11 15 37,752 1 2 3 198 4 162 13 24 ?? ?????????? 4 100 ?? ?????????? 48 5 6 7 8 246.5

Summer 1 - Purple Week 4 Session 2 31 7 21 2 10 ? 27 = 1 35= A small bottle of lemonade is half the size of a large bottle. The small bottle costs 80p and the large bottle costs 1.50. 2 3 6% of 700 = 4 9+4 Amir buys 4 small bottles. How much would he save if he buys the same amount of lemonade in large bottles? 4 7= 5 0.7 x 800 = 6 15% of 3,900 = 11 7 2? 732 = 8

219 35 54 10 42 1 2 3 20p or 0.20 11 63 560 4 5 6 585 7 1098 2046 8 62

Summer 1 - Purple Week 4 Session 3 3 4 5 16= Here is a bus timetable: 1 2 3 15 x 7.7 = 4 x 1.4 = 70 1 50+ 3 7 9 = 1 20+1 5 5= a) Find the last direct bus from Newton Aycliffe to Bowburn. When does it leave Darlington? 6 b) How long does the last bus from Darlington to Chilton take? 7 58 x 0.5 = c) How long is the shortest possible journey? 8 5% of 190 =

7 16 ?? ?????????? 24,598 1 2 3 115.5 4 50 27 100 ?? ?????????? 3 63 ?? ?????????? 29 5 6 7 8 9.5

Summer 1 - Purple Week 5 Session 1 38 9+15 3 20 ? 52 = 1 18= A supermarket sells packs of 6 cans of lemonade. Each can contains 330ml of lemonade. 2 3 1% of 1100 = 5 7+3 How many litres of lemonade are there in a pack of 6 cans? 4 4= 5 0.8 x 100 = 6 15% x 3000 = 51 7 2? 90 = 8

413 18 716 20 11 1 2 1.98 litres 3 113 28 80 4 5 6 450 7 495 28011 8 20

Summer 1 - Purple Week 5 Session 2 7 44+5 1 These thermometers show the temperature inside and outside of a school at 9 a.m. 2= 2 3 15 x 1.3 = 4 60 x 2.9 = 1 9+1 4 5 5 = 1 12= 5 4+ 6 7 0.5 x 64 = a) What is the inside and outside temperature? 8 35% of 420 b) What is the difference in temperature between the inside and the outside?

33 22 21,631 1 2 3 19.5 4 174 16 36 ?? ?????????? 4 25 ?? ?????????? 32 5 6 7 8 147

Summer 1 - Purple Week 5 Session 3 12 5 4 1 6= 2 5 ? 110 = 2 3 1% of = 4 A school takes delivery of some boxes of balls. In each box, there are 5 red balls and 3 blue balls. In the whole delivery, there are 40 red balls. How many balls are there altogether? 13 15 5 4 6= 5 0.4 x 600 = 6 15% x 6,000 = 11 7 2 ? 61 = 8