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Line Up Task

Line Up Task. NC Level 3 to 7. Line Up Original. Four numbers are equally spaced on a number line. Find the numbers represented by P and Q. Home. Line Up. Easier Let the outside numbers be both even or odd and find the middle number

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Line Up Task

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  1. Line Up Task NC Level 3 to 7

  2. Line Up Original Four numbers are equally spaced on a number line. Find the numbers represented by P and Q Home

  3. Line Up Easier Let the outside numbers be both even or odd and find the middle number Let one of the outside numbers be odd and one even and find the middle Variation Make the biggest – smallest a multiple of 3 and find P and Q Make the biggest – smallest a multiple of 4 and find P, Q and R etc… Present the problem as split the line in the ratio 2:1 … or the first gap is twice as large as the second Use negative numbers or decimals If 80 is in the middle then what could P and Q be? What is the link between P, Q and 80? P+Q = 2x80 Find P Home

  4. Line Up Extension If P and Q are integers what could the outside numbers be? As above but insert P, Q and R equally spaced Looking at the diagram below what could P and Q be? What is the rule for finding pairs of values for P and Q? 2(Q-P)=120-Q or 3Q = 120+2P etc… Try different number of spacings Express the problem as a ratio: If PQ: QR = 3:1 then what could P,Q & R be? Include Negative numbers Decimals Fractions Home

  5. Line Up 1 Three numbers are equally spaced on a number line. Find the number represented by P Change the outer values: Both even Both odd Odd/Even Home

  6. Line Up 2 Four numbers are equally spaced on a number line. Find the numbers represented by P and Q Change the outer values Use Negatives Extend to P, Q and R Home

  7. Line Up 3 Four numbers are placed on a number line. Find the numbers represented by P and Q Change the outer values Use negatives Express the position of P and Q in terms of ratios Extend to P, Q and R Home

  8. Line Up 4 The difference between P and Q is 140 Find the numbers represented by P and Q Change the outer values Use Negatives Extend to P, Q and R Home

  9. Line Up 5 Three numbers are equally spaced on a number line. Find possible values for P and Q What is the relationship between P and Q Change the centre number Make the centre number negative Home

  10. Line Up 6 Numbers are equally spaced on a number line. Find the numbers represented by P & Q Change the 75 and 89 Change the position of P & Q Introduce negatives Home

  11. Line Up 7 Three numbers are equally spaced on a number line. Find the number represented by P Change the outer values Introduce P & Q Home

  12. Line Up 8 Numbers are equally spaced on a number line. Find possible values for P and Q What is the relationship between P and Q Home Change the 120

  13. Line Up 9 Numbers are equally spaced on a number line. Find possible values for P and Q What is the relationship between P and Q Vary the number of increments Change the 120 Introduce R Home

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