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Two way tables

Two way tables. You pick a boy at random from the whole group of boys. What is the probability of picking one that likes football?. There are 125 children in Year 6. 52% of them are girls. 20% of girls do not play football. Five times as many boys play as do not play football.

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Two way tables

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  1. Two way tables You pick a boy at random from the whole group of boys. What is the probability of picking one that likes football? There are 125 children in Year 6. 52% of them are girls. 20% of girls do not play football. Five times as many boys play as do not play football. Fill in the table.

  2. Solving problems with averages (1) There are four numbers in a set of data. The mean is 7 and the range is 4. What could the numbers be? Hint: What must the four numbers add up to? Hint: What must the difference between the biggest and the smallest be?

  3. Solving problems with averages (7) A, B and C stand for three different numbers. The mean of A and B is 40. The mean of B and C is 35. A + B + C = 100. Calculate the values of A, B and C.

  4. A Classic Mistake Challenge: Explain why Abdul and Beth are wrong and work out a better estimate. “Estimate the area of a circle when r = 5 cm” says Shamila. “What’s the formula again?” asked Beth. “πr2” Shamila suggests, looking at her book. “Well, π x 5 is roughly 15” mumbled Abdul. “And 15 squared is 225!” called Beth triumphantly.

  5. How numbers behave When you are adding, you can swap the numbers round. When you are subtracting, you can’t swap the numbers round. When you are multiplying, you can swap the numbers round. When you are dividing, you can’t swap the numbers round. ≠ means “is not equal to”. So a + b = b + a So a - b ≠ b - a So a x b = b x a So a ÷ b ≠ b ÷ a

  6. 10 split into 4 equal parts 10 - 4 10 + 4 4 + 10 10 x 4 4 - 10 10 ÷ 4 4 ÷10 4 x 10

  7. 10 split into 4 equal parts 10 - 4 10 + 4 4 + 10 10 x 4 4 - 10 10 ÷ 4 4 ÷10 4 x 10

  8. Dice Games 1 d = the number on the dice

  9. 5 more than the dice number 4 multiplied by the dice number Subtract the dice number from 5 5 less than the dice number 4 take away the dice number 5 multiplied by the dice number 4 more than the dice number 4 less than the dice number

  10. Subtract half the dice number from 7 7 less than double the dice number 7 divided by the dice number The dice number plus the dice number plus the dice number plus the dice number plus the dice number plus the dice number plus the dice number The dice number multiplied by itself, then subtract 7 7 lots of the square of the dice number 7 multiplied by 2 more than the dice number 2 more than the dice number, all divided by 7

  11. Forming expressions 2 d x 2 + 1 d - 5 ÷7 d + 3 x 12 d + 4 - 1 d - 5 ÷2

  12. Harder Expressions

  13. Think of a number x 3x 3x + 4 6x + 8 6x + 6 2x + 2 2x x I think of a number. I multiply it by 3. I add 4. I multiply it by 2. I subtract 2. I divide it by 3. I subtract 2. I divide by 2. What number have I got?

  14. Equations Find two different ways to complete these equations. • ………… + 6 = ……. - 9 • ………… x ………. = ……. - 3 • ……… ÷ 5 = ……… + 9 • ………. x 3 = ……… + 5 In an equation, the left hand side must equal the right hand side.

  15. How many solutions? x + 5 = y + 6 x2 = 25 2x + 3 = x + 1 x + y = 10 x + 5 = x - 1 How many different numbers can you find for the letters to make the two sides of the equations equal?

  16. Solving Simultaneous Equations Find a, b and c: a + b = 21 ac = 30 a + c = 17 Find x and y: 2x + y = 11 x + y = 7

  17. Forming and solving equations I think of a number. I multiply it by 5 and subtract 1. My answer is 39. What number was I thinking of? Form an equation using the letter m to stand for the unknown value and solve it. The number I was thinking of is ……..

  18. Finding 100% 15% of a number is 33. What is the number? 15% = 33 5% = 11 100% = 220 ÷ 3 ÷ 3 x 20 x 20

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