![](\"resources/question-resources/butterfly1.jpg\"/)
This exam tests one's ability to do simple maths quickly, using shortcuts where possible. It is a diagnostic test so the results are to let us know where you need help. Please take a screenshot of your final score and forward to WSY.
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\n1 x 99 = 09
\n2 x 99 = 18
\n3 x 99 = 27
\n4 x 99 = 36
\n5 x 99 = 45
\n6 x 99 = 54
\n7 x 99 = 63
\n8 x 99 = 72
\n9 x 99 = 81
\n10x99 = 90
\nInsert 9 in the center of each pair of digits on each line
\n1 x 99 = 099
\n2 x 99 = 198
\n3 x 99 = 297
\n4 x 99 = 396
\n5 x 99 = 495
\n6 x 99 = 594
\n7 x 99 = 693
\n8 x 99 = 792
\n9 x 99 = 891
\n10x99 = 990
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\nYou must place a 0 in frond of a point if there is no number there.
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\nSo 36 becomes 360
\nFor decimals, move point one place to the right
\nso 3.62 becomes 36.2
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\n1 x 9 = 09
\n2 x 9 = 18
\n3 x 9 = 27
\n4 x 9 = 36
\n5 x 9 = 45
\n6 x 9 = 54
\n7 x 9 = 63
\n8 x 9 = 72
\n9 x 9 = 81
\n10x9 = 90
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", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "statement": "Solve these problems
", "advice": "3/4 - 1/5
\nConnect diagonal numbers in a loop, to form the wings of the butterfly
\n
Then draw the feelers of the butterfly attached to the top of each loop.
\nMultiply the numbers in one loop and put the product in the space next the the feeler attached to that loop.
\n3x5=15
\nRepeat for the next loop and feeler.
\n4x1=4
\n![](\"resources/question-resources/butterfly2.jpg\"/)
Subtract the number in the right feeler from the one in the left feeler and put the difference as the numerator of your answer.
\n15-4=11
\nDraw a curved line connecting the bottom of the two loops.
\nPlace the product of the two denominators in the space formed by the curve.
\n![](\"resources/question-resources/butterfly3_bBOWlNc.jpg\"/)
4x5=20
\nEnter this number as the denominator of your answer.
\nANSWER = 11/20
\n\n2/7 + 2/3
\nDo the same thing for the next problem, except add where you subtracted before.
\n![](\"resources/question-resources/butterfly4.jpg\"/)
2x3-6
\n7x2=14
\n6+14=20
\n7x3=21
\nANSWER = 20/21
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", "advice": "![](\"resources/question-resources/4x9_answer.jpg\"/)
![](\"resources/question-resources/4x9.jpg\"/)
quick multiplication
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", "advice": "a b 1 7
\nc d 4 2
\n7 x 2 = 14
\n14
\nPlace answer infront of the last answer. Add it to any digit that is there already
\n(2+1) 4
\n3 4
\nPlace answer in front of last digit of existing answer, adding it to any digits already there
\n(28 + 3) 4
\n31 4
\nAdd to the first digit of number in front of answer
\n(4 + 3) 1 4
\nANSWER = 7 1 4
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", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "statement": "Complete this problem
", "advice": "Shortcut is to place first and last digits spaced out and to add together each pair of numbers in between. If you sum has 2 digits, write the last digit but add the first digit to the sum of the numbers before it
\nPATTERN: abcd
\nwrite a d
\nadd c+d and place answer in front of d: a (c+d) d
\nadd b+c and place answerin front of (c+d): a (b+c) (c+d) d
\nadd a+b and place answer in front of (b+c): a (a+d) (b+c) (c+d) d
\nAnswer is a (a+d) (b+c) (c+d) d
\nexample
\n1234
\n1 4
\n3+4=7
\n2+3=5
\n1+2=3
\nANSWER = 13574
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\n1 x 999 = 09
\n2 x 999 = 18
\n3 x 999 = 27
\n4 x 999 = 36
\n5 x 999 = 45
\n6 x 999 = 54
\n7 x 999 = 63
\n8 x 999 = 72
\n9 x 999 = 81
\n10x999 = 90
\nInsert 99 in the center of each pair of digits on each line
\n1 x 999 = 0999
\n2 x 999 = 1998
\n3 x 999 = 2997
\n4 x 999 = 3996
\n5 x 999 = 4995
\n6 x 999 = 5994
\n7 x 999 = 6993
\n8 x 999 = 7992
\n9 x 999 = 8991
\n10x999 = 9990
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TO DETERMINE THE ANSWER SHOWN
\nCircle each group of intersecting points into 3 sets - left, right and 2 in the centre together
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Count the number of points in each set
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ANSWER = Left set, middle set, right set. If any set has 2 digits, write the last digit in the space and add the first digit to the set in front of it.
\n8 6+4 3
\n8 10 3 so add the 1 to the 8
\nANSWER = 903
\n\nTO FIND THE PROBLEM SHOWN
\nCount the vertical lines as they are grouped
\n2 lines on the left and 1 line on the right gives 21
\nNow count the horizonatl lines in their groups
\n4 lines on top and 3 lines on the bottom gives 43
\nPROBLEM IS 21 x 43
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