A Challenge a Day! Pick a Challenge 1 2 3 4 5 6 7 8 9 1 0 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 0 2 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 Reflect It Write your name in capital letters. Reflect it underneath. Try this as a shadow at an angle. HOME Try other words. Hundred Words if a=1, b=2, c=3, d=4 etc., what is the value of your name? a 1 i 9 q 17 y 25 b 2 j 10 r 18 z 26 c 3 k 11 s 19 d 4 l 12 t 20 e 5 m 13 u 21 f 6 n 14 v 22 g 7 o 15 w 23 h 8 p 16 x 24 E.g. Helen = 8 + 5 + 12 + 5 + 14 =44 Can you find some words that total 100? HOME Catch it in a Net This shape is called a tetrahedron. It is made of 8 triangles. Can you draw the net that will make this shape? What about this icosahedron, which is made of 24 equilateral triangles? HOME Decimal Equivalences Can you write all the decimal equivalences for halves, quarter and eighths? 0.125, 0.25, 0.375, 0.5, 0.625, 0.75, 0.875 What about the decimal equivalences for fifths and tenths? 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9 Finally, try the decimal equivalences for thirds, sixths and ninths? 0.33, 0.66 0.166, 0.33, 0.5, 0.66, 0.833 0.11, 0.22, 0.33, 0.44, 0.55, 0.66, 0.77, 0.88, 0.99 HOME Reveal Hide answers answers Keep it in Complete these equations Balance Write 350 45 x 5 = _____ 125 13 144 + 25 = ____ 2 710 _____ - 350 = this 72 equation several solutions to make correct. x 5 120 ÷ ____ = 120 - _____ HOME Reveal Hide answers answers Square Enough Write all the square numbers as far as go…. e.g.you 0, can 1, 4, 9,… Write the difference between each consecutive pair of square numbers for 1example: – 0 = 1 4 – 1 = 3 9 – 4 = Can you use this to continue the square numbers? Draw the square numbers Shade the extra small squares that are added to the previous square. Can you use this to explain the pattern you found at the beginning? HOME What time is it? At 12 o’clock both hands of the clock are in the same position. As accurately as you can, what is the next time when both hands are in the same position? Hint: Think about roughly where the hands will be. Calculate how far each hand travels in the same unit of time, e.g. how far both hands travel in 5 minutes or 1 minute. HOME Reveal Hide answers answers Coordinated Shapes 12 What shapes are made by these sets of coordinates? 11 10 9 a. (3,5) (6,7) (4,10)squa (1,8) re parallelogr b. (2,1) (6,1) am (1,3) (5,3) kite c. (9,5) (11,9) (9,10) (7,9) rectangle/obl ong d. (8,0) (10,1) Hide answers answers (8,5)Reveal (6,4) 8 7 6 5 4 3 2 1 0 HOME 1 2 3 4 5 6 7 8 9 10 11 12 Roman Years Turn these years into Roman Numerals. Roman Conquest 43 XLIII Battle of Winwaed 655 DCLV Battle of Hastings 1066 MLXVI Magna Carta 1215 MCCXV Black Death 1349 MCCCXLIX Henry VIII head of Church of England 1531 MDXXXI Christmas banned by Oliver Cromwell 1649 MDCXLIX MDCCXCVII Queen Victoria’s Diamond Jubilee 1897 Queen Elizabeth’s Diamond Jubilee Hide answers Reveal answers 2012 MMXII HOME Multiplication Matches 7x3=21 7x3 5x5=25 5x5 8x6 8x6=48 9x4 9x4=36 10x7 10x7=70 8x8=64 8x8 9x6=54 9x6 2x7=14 2x7 4x8=32 4x8 8x3=24 8x3 9x9=81 9x9 6x6=36 6x6 8x1=8 8x1 7x6=42 7x6 12x6=72 12x6 7x7=49 7x7 3x11=33 3x11 4x6 4x6=24 3x3=9 3x3 5x8=40 5x8 10x4=40 10x4 10x9=90 10x9 2x10 2x10=20 7x8 7x8=56 9x3=27 9x3 HOME Hide answers Reveal answers What’s Next? Write the next few numbers in each sequence and explain each pattern. 77, 89, 101, 113,… -45, -36, -27, -18, … 50, 37, 24, …. 0, 2, 6, 12, 20… HOME Round the Edge What is the perimeter of this rectilinear shape? 6m 14m Can you explain how you got the answer? HOME What’s Missing? Calculate the size of each angle that has a letter. c d a 115o b 50 e o f Estimate and write what the angles in this triangle could measure. g i h HOME What Time is the Next Train? Station/Train Hanoi SE1 SE3 SE5 SE7 TN1 1900 2300 1545 0615 1005 1650 0719 1117 1728 0756 1157 1803 0830 1234 1919 0940 1409 Phu Ly (Hanam) Nam Dinh 2036 Ninh Binh Thanh Hoa 2215 Vinh (Nghe An) 0044 0407 2210 1156 1642 Dong Hoi (Phong Nha) 0431 0749 0234 1543 2136 Dong Ha (DMZ) 0643 Hue 0757 1907 0131 0451 1045 Lang Co 0607 0731 Danang 1031 Quang Ngai 1328 Dieu Tri 1616 Tuy Hoa (Quy 1833 Nha Trang 2028 Thap Cham 2204 1312 1802 2203 0856 2141 0438 1157 0035 0809 1457 0323 1211 1711 0532 1940 0737 1646 2117 0911 1848 1141 2157 1505 0303 Muong Man Ho Chi Minh City 0410 0500 0306 0440 What is the fastest train from Hanoi to Ho Chi Minh City? Write some of your own questions with the answers. HOME What Number am I? Using these clues work out what number I am. I am a prime number. I only have 2 digits. I am larger than 30. My digital root is 8. I do not have 5 tens. Reveal a Clue I am ? 71 Reveal the Answer HOME True, False or Sometimes Answer true, false or sometimes for each statement. 1.A straight sided 2D shape has the same number TRUE of sides as angles. FALSE 2.When adding an odd number of odd numbers the answer is always even. FALSE 3.A dodecahedron has ten faces. TRUE 4.Eight squared is equal to four cubed. SOMETIMES 5.If you multiply 2 numbers the answer is always larger HOME than the 2 numbers. Reveal the Answers Round and Round Write 3 numbers that can be rounded to 500 when rounded to the nearest 100. What are the largest and smallest numbers that can be rounded to 340 when rounded to the nearest 10. 70 442 people attended the Champions League final between Barcelona and Juventus in June 2015. When would this be rounded to seventy thousand. HOME Its Miles to Using 5 miles = 8 km complete the following Kilometres! table in km to miles, rounding the answer to the nearest mile: Berlin Berlin London Moscow Rome 930 km 1608 km 1182 km 2489 km 1431 km London miles 581 Moscow miles 1005 miles 1556 Rome miles 739 miles 894 2374 km miles 1484 HOME Reveal the Answers Addition Towers Take the numbers 1, 2, 3, 4, and 5. Write them in any order and then add each consecutive pair and write the total above. Keep going until you have one number at the top. ? ? ? ? ? ? 3 5 7 9 1 2 3 4 5 Does the order of the numbers 1, 2, 3, 4 and 5 make a difference to the number you reach at the top? What are the highest and lowest totals possible to reach? HOME Can you explain how the order impacts on the total? Forgotten Numbers I used a calculator to divide one whole number by another whole number. The answer was 4.625. However, I have forgotten the numbers. I remember they are less than 50. What are the numbers? 37 ÷ 8 HOME Reveal the Answer Fibonacci The Fibonacci series is where 2 numbers are added to make the next number: Continue the series: 1, 1, 2, 3, 5, 8, 13,…… Divide each number by the previous number: 1 ÷ 1 = 1 2 ÷ 1 = 2 3 ÷ 2 = 1.5 Mark these numbers on a number line from 1 to 2 1. 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 0 See what else you can find out about the Fibonacci series. HOME Make Thirteen Use the numbers 1, 2, 3, 4, 5, 6, 7, 8 to make each line add up to 13. Use each number only once. 1 4 7 8 5 3 6 2 Reveal the Answer HOME Hollow Cubes Imagine a 3 x 3 x 3 hollow cube. How many cubes will be used to make it? What about a 4 x 4 x 4 hollow cube? Can you continue the pattern? HOME Will It Hit 100? Will 100 be Look at these sequences. in each sequence? Yes or No? If not, what is the closest the sequence will get to 100? 6, 13, 20, 27… 4, 7, 10, 13… 4, 12, 20, 28… 8, 17, 26, 35… 10, 21, 32, 43… HOME Reverse It Take any 3 digit number. Reverse the number and add it to the original number. Take your answer, reverse it and add the 2 numbers together. Repeat this process several times. What happens? Can you spot why? HOME Coin Count If any amount of money up to £1 is made with the least number of coins possible, which amounts are made with the most coins? HOME Root of Three What number, when squared, makes 3? Without using a calculator, work out the answer as accurately as you can. HOME Add One to One Hundred Can you add up all the numbers from 1 to 100? Hint: To add all the numbers from 1 to 10, pair them up 1 10 2 9 3 8 4 7 5 6 Look at the total for each pair. Use it to find the answer. HOME Perfect Number A perfect number is a number that is the sum of all it’s proper factors (all the factors except the number itself.) The first perfect number is 6, which is the sum of 1, 2 and 3. (The factors of 6 are 1, 2, 3 and 6, so the proper factors are 1, 2 and 3) Can you find the next perfect number? HOME HOME