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Film clips 16 50% n2 +6 x4 280 8 64 70 280 10% 1 x 7 28 4 x9 36 n 6 x8 48 Puzzle a day • If a lion has 4 legs, a cheetah has 6 legs and an antelope 8 legs, how many legs has a buffalo? • 6. two legs per vowel • How many oranges are here? • A shopkeeper builds a similar pile of oranges but with one extra layer. How many oranges would this have? • What size of pile could you build with a box of 200 oranges? Countdown 25 1 1 2 5 TARGET Stop 6 1 9 290 2 8 3 7 4 6 5 Code Words • • • • • • • • 2J J÷B A+D BxG Y÷E–D C+D W–R IxB • • • • • • • • T E E N A G E R A=1 P = 16 B=2 Q = 17 C=3 R = 18 D=4 S = 19 E=5 T = 20 F=6 U = 21 G=7 V = 22 H=8 W = 23 I=9 X = 24 J = 10 Y = 25 K = 11 Z = 26 L = 12 M = 13 N = 14 0 = 15 700p £5 20% X23 -£2 1 3 1 23 21 7 1% 7p X60 420p +30p 450p x2 £9 30% 270p • What other times • When you turn over this egg timer, three could you measure? sand timers measure 3 What if you had three minutes, 4 minutes separate sand timers? and 5 minutes. They cannot be turned over individually. • How could you use the timer to measure 6 minutes? • You could measure 7 minutes by adding together 3 and 4 minutes - but does it matter which you do first? The right hand star in each set is the result of the two other stars multiplied together, minus one. Puzzle a day • Can you fill in the missing number? 9 4 35 ? 7 3 20 7 36 Countdown 10 8 6 4 7 TARGET Stop 100 1 9 824 2 8 3 7 4 6 5 Code Words • • • • • • • • I–G+B CxG J–G V÷B Z÷B–A C2 BxG P-I • • • • • • • • D U C K L I N G A=1 P = 16 B=2 Q = 17 C=3 R = 18 D=4 S = 19 E=5 T = 20 F=6 U = 21 G=7 V = 22 H=8 W = 23 I=9 X = 24 J = 10 Y = 25 K = 11 Z = 26 L = 12 M = 13 N = 14 0 = 15 300 81 -30 270 -9 72 ÷90 3 45 n2 9 5 x 8 +3 48 n2 81 5 x 6 40 5% 2 • How many squares does this chocolate bar have? To answer this question, it may help to measure the photograph with a ruler. • The whole bar weighs 100 grams. What does one square weigh? A recipe uses 28 grams of chocolate. How many squares is this? Puzzle a day • Change one letter in each word to form three new words with a common theme. • WALL CASTER TROY • WALK, CANTER, TROT. Countdown 75 2 3 2 7 TARGET Stop 8 1 9 581 2 8 3 7 4 6 5 Code Words • • • • • • • • CxG–B P÷B U–P D2 V–N A+D IxB X÷F • • • • • • • • S H E P H E R D A=1 P = 16 B=2 Q = 17 C=3 R = 18 D=4 S = 19 E=5 T = 20 F=6 U = 21 G=7 V = 22 H=8 W = 23 I=9 X = 24 J = 10 Y = 25 K = 11 Z = 26 L = 12 M = 13 N = 14 0 = 15 £5.50 x2 x3 -£1 75% 24 11 33 3 x 8 1 x 2 9 4.50 32 10% 45p 24 +9p 54p ÷6 9p • This tiling consists • What is the of squares and area of one of parallelograms. the The large squares parallelograms? each have an area of 1 square meter. The angle between the large squares and small squares is 45 degrees. • What is the area of one of the small squares? Puzzle a day • Betty was making flowers for the local carnival. 11 flowers had red in them, 7 had yellow in them and 5 had both red and yellow in them. • How many flowers did she make? Red R and Y Yellow 6 5 2 Countdown 100 9 2 3 4 TARGET Stop 1 1 9 372 2 8 3 7 4 6 5 Code Words • • • • • • • • BxD R–M P÷D P–I T–L–C FxC Y–J J+M • • • • • • • • H E D G E R O W A=1 P = 16 B=2 Q = 17 C=3 R = 18 D=4 S = 19 E=5 T = 20 F=6 U = 21 G=7 V = 22 H=8 W = 23 I=9 X = 24 J = 10 Y = 25 K = 11 Z = 26 L = 12 M = 13 N = 14 0 = 15 • A normal set of • You can buy domino sets going up to dominoes has 28 "double twelve." tiles and the How many tiles largest is would these sets "double six." have? This special domino set has more tiles and the largest is "double nine." How many tiles does it have? 11 1000 25% 1 2 -4 n 250 125 121 11 x8 88 -8 80 x4 320 5% 16 n 4 Puzzle a day • Two men were leading cows along a road, and the first said to the other “give me two cows and I’ll have as many as you have.” After this was done, the second said “Now you give me two cows and I’ll have double the number you have.” • How many cows were there, and how many did they have each? Countdown 10 1 2 2 6 TARGET Stop 100 1 9 818 2 8 3 7 4 6 5 Code Words • • • • • • Z÷B B÷B CxE–A T÷E Z–Y BxI R÷B • Z-L • • • • • • • • M A N D A R I N A=1 P = 16 B=2 Q = 17 C=3 R = 18 D=4 S = 19 E=5 T = 20 F=6 U = 21 G=7 V = 22 H=8 W = 23 I=9 X = 24 J = 10 Y = 25 K = 11 Z = 26 L = 12 M = 13 N = 14 0 = 15 • The horizontal bar in the photograph has holes spaced 10 cm apart for the hoops to pass through. One hoop is 30 cm wide. • How many hoops would you need to make a railing that is 250 cm long? • Can you find a rule that gives the length of railing for any given number of hoops? 26 +19 2 9 n2 7% 7 45 x8 56 10 +18 74 100 -4 70 7 50% 35 3 x 5 21 Puzzle a day • Which number should replace the question mark? 1 5 13 10 15 4 5 4 4 0 2 6 4 2 4 6 • 5. the centre numbers are the result of the bottom two numbers subtracted from the top number Countdown 25 1 7 4 5 TARGET Stop 2 1 9 195 2 8 3 7 4 6 5 • Your answers should • The seeds in this be two numbers in the yellow daisy make Fibonacci sequence 1, spiral patterns. 1, 2, 3, 5, 8, 13, 21, 34 Some of the • See what you can find spirals go in a out about the clockwise direction Fibonacci sequence. and some go anticlockwise. • Count the number of spirals going in each direction. Code Words • T–A Z–A • B+A • G – (B x C) • J+C • T–E • FxC • J–E • • • • • • • • S Y C A M O R E A=1 P = 16 B=2 Q = 17 C=3 R = 18 D=4 S = 19 E=5 T = 20 F=6 U = 21 G=7 V = 22 H=8 W = 23 I=9 X = 24 J = 10 Y = 25 K = 11 Z = 26 L = 12 M = 13 N = 14 0 = 15 £20 1% x8 -10p double £3 20p x9 £27 1.60 +£19 46 1.50 -£6 40 £3 75% 30 25% £7.50 A puzzle a day • which number should replace the question mark? 1 6 1 ? 7 2 6 3 2 3 5 4 • 4. The numbers in each block of 3 add up to 11. • Can you see any • This beautiful patchwork quilt right angles has quite a here? complex design. • Try to see the basic units from which it is constructed. Countdown 50 9 6 4 4 TARGET Stop 2 1 9 432 2 8 3 7 4 6 5 Code Words • • • • • • • • BxC X÷B T–S Z÷B CxC CxE–A BxC+A T-E • • • • • • • • F L A M I N G O A=1 P = 16 B=2 Q = 17 C=3 R = 18 D=4 S = 19 E=5 T = 20 F=6 U = 21 G=7 V = 22 H=8 W = 23 I=9 X = 24 J = 10 Y = 25 K = 11 Z = 26 L = 12 M = 13 N = 14 0 = 15 34p x100 +£18 -400p 25% 1200p £34 10% 120p 52 half 60 48 x5 £3 12 x100 300 1 x 4 £75 • The picture shows the ventilation holes in a hair dryer. • There are 9 holes in the first circle and 12 holes in the next circle. How does the pattern continue? • Try to figure out an answer before counting the holes in the picture. Puzzle a day • What comes next in the following sequence? • 1, 4, 5, 6, 7, 9, 11, ? • 100. This is the sequence of numbers with no letter ‘t’ in their names. Countdown 75 1 9 6 4 TARGET Stop 2 1 9 468 2 8 3 7 4 6 5 Code Words • • • • • • • • BxC X÷B T–S Z÷B C2 CxE–B BxC+A T-E • • • • • • • • F L A M I N G O A=1 P = 16 B=2 Q = 17 C=3 R = 18 D=4 S = 19 E=5 T = 20 F=6 U = 21 G=7 V = 22 H=8 W = 23 I=9 X = 24 J = 10 Y = 25 K = 11 Z = 26 L = 12 M = 13 N = 14 0 = 15 • Each compartment in this box contains six jelly beans of the same flavour. They are arranged in two layers of three beans. There is a different flavour in each compartment. • How many different flavours are there in the box? How many beans are there altogether? • Jelly beans are sold in "40 official flavours". Suppose that the jelly bean company asks you to design a similar box that could hold all 40 flavours. Is this possible? 25 +17 +19 -1 1 3 20 42 61 60 20 x9 180 10% 18 4 9 8 x50 400 3% 12 puzzle a day • Which 4 letter word links all of these? • STEP, LOOSE, SORE, HOLD, LIGHTS • Foot Countdown 50 3 4 7 8 TARGET Stop 1 1 9 766 2 8 3 7 4 6 5 • This pattern uses square • A snail crawls across the tiles visiting the tiles of three different colours in order: red, colours. They are yellow, black, red, arranged so that two tiles of the same colour yellow, black... never touch along an • Is it possible for the edge. The pattern uses snail to visit every equal numbers of the tile? three colours. • Design a different pattern that also uses equal numbers of square tiles in three colours. The same colour must never touch along an edge. Code Words • DxE–A • Y÷E–D T–D • D2 • X÷C • C2 • FxC • J–E • • • • • • • • S A P P H I R E A=1 P = 16 B=2 Q = 17 C=3 R = 18 D=4 S = 19 E=5 T = 20 F=6 U = 21 G=7 V = 22 H=8 W = 23 I=9 X = 24 J = 10 Y = 25 K = 11 Z = 26 L = 12 M = 13 N = 14 0 = 15 5 400 1 x 5 20% +9 n 80 16 25 5 x70 350 10% 35 2 x 5 14 +29 43 +18 61 A puzzle a day • How many triangles can you see? • 35 Countdown 25 6 7 8 3 TARGET Stop 5 1 9 344 2 8 3 7 4 6 5 Code Words • • • • • • • • D+D J+E L+G A+O C2 BxJ K–J X÷B • • • • • • • • H O S P I T A L A=1 P = 16 B=2 Q = 17 C=3 R = 18 D=4 S = 19 E=5 T = 20 F=6 U = 21 G=7 V = 22 H=8 W = 23 I=9 X = 24 J = 10 Y = 25 K = 11 Z = 26 L = 12 M = 13 N = 14 0 = 15 48 37 -19 2 3 18 12 double 24 x2 48 x2 96 -18 78 +3 81 n 9 n 3 Maths Riddles • • • • It is less than 50 It is greater than 90 It is a multiple of 8 24 is a factor 72 Countdown 25 10 2 3 7 TARGET Stop 5 1 9 279 2 8 3 7 4 6 5 Code Words • • • • • • • • S–C CxE BxI U–A GxC P÷B Z–Y X÷C+D • • • • • • • • P O R T U G A L A=1 P = 16 B=2 Q = 17 C=3 R = 18 D=4 S = 19 E=5 T = 20 F=6 U = 21 G=7 V = 22 H=8 W = 23 I=9 X = 24 J = 10 Y = 25 K = 11 Z = 26 L = 12 M = 13 N = 14 0 = 15 4400p £55 -£27 28 25% 7 x9 63 -£19 44 10% 220p 1 x 2 -10p 1 x 440p 3 X6 210p 70 420p Maths Riddles • • • • It is an even number It is less than 79 5,4 and 3are all factors It is a multiple of 10 60 Countdown 25 8 3 4 2 TARGET Stop 1 1 9 588 2 8 3 7 4 6 5 Code Words • • • • • • • • DxD F+M CxE X–H Y–T BxI U–A E2 • • • • • • • • P R O P E R T Y A=1 P = 16 B=2 Q = 17 C=3 R = 18 D=4 S = 19 E=5 T = 20 F=6 U = 21 G=7 V = 22 H=8 W = 23 I=9 X = 24 J = 10 Y = 25 K = 11 Z = 26 L = 12 M = 13 N = 14 0 = 15 73 -16 +3 60% ÷9 4 57 n2 16 60 +19 35 36 x2 70 4 80% 56 -18 38 Maths Riddles • • • • • It is a square number It is an odd number It is less than 50 It is greater than 20 7 is a factor 49 Countdown 75 2 3 5 6 TARGET Stop 7 1 9 168 2 8 3 7 4 6 5 Code Words • • • • • • • • X÷D CxE T–E BxJ Z÷M V–U CxF–F Y÷E+G • • • • • • • • F O O T B A L L A=1 P = 16 B=2 Q = 17 C=3 R = 18 D=4 S = 19 E=5 T = 20 F=6 U = 21 G=7 V = 22 H=8 W = 23 I=9 X = 24 J = 10 Y = 25 K = 11 Z = 26 L = 12 M = 13 N = 14 0 = 15 600 8% -19 +3 x2 48 29 32 64 64 n 8 x90 720 10% 72 +29 101 -100 1 Maths Riddles • • • • • It is a square number It is an even number It is less than 50 It is greater than 20 4 is a factor 36 Countdown 75 6 5 4 1 TARGET Stop 1 1 9 817 2 8 3 7 4 6 5 Code Words • • • • • • • • O+A CxD V–U X÷H T÷D F+G N–M CxH–D • • • • • • • • P L A C E M A T A=1 P = 16 B=2 Q = 17 C=3 R = 18 D=4 S = 19 E=5 T = 20 F=6 U = 21 G=7 V = 22 H=8 W = 23 I=9 X = 24 J = 10 Y = 25 K = 11 Z = 26 L = 12 M = 13 N = 14 0 = 15 Paradox • Which weighs more 50kg of rocks or 50kg of feathers? • How much earth is there in a hole 25m long, 6m wide and 2m deep • Farmer went into the field, and found 13 rabbits eating corn. He shot one-how many were left in the field? • A squash racquet and ball cost me £31.60. the difference in price was £30 how much did the ball cost? Angle Acronyms 360 Deg in a circle • 180 DIAT 180 Deg in a triangle 360 DIAC 360 Deg in a quadrilateral 180 Deg in a straight line • 180 DIASL 360 DIAQ • 90 inDIARA 5 sides a pentagon 5SIAP 90 Deg in a right angle • AAAE angles are CAAE Corresponding Alternate equal angles are equal • ZAAAA 6 sides in a hexagon 6SIAH angles Z angles are alternate Countdown 50 6 9 4 4 TARGET Stop 2 1 9 432 2 8 3 7 4 6 5 Code Words • • • • • • • • V–S X÷C J÷B L+G DxE BxG J+K C+D+F+G • • • • • • • • C H E S T N U T A=1 P = 16 B=2 Q = 17 C=3 R = 18 D=4 S = 19 E=5 T = 20 F=6 U = 21 G=7 V = 22 H=8 W = 23 I=9 X = 24 J = 10 Y = 25 K = 11 Z = 26 L = 12 M = 13 N = 14 0 = 15