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# GCSE: Consecutive Numbers

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Meet our team of inspirational teachers Get help from 80+ teachers and hundreds of thousands of student written documents 1. ## GCSE Maths questions

• Develop your confidence and skills in GCSE Maths using our free interactive questions with teacher feedback to guide you at every stage.
• Level: GCSE
• Questions: 75
2. ## I am to conduct an investigation involving a number grid.

1944 - 1904 = 40 The difference between the two numbers is 40 Box 3 75 76 77 85 86 87 95 96 97 [image010.gif] 75 x 97 = 7275 95 x 77 = 7315 7315 - 7275 = 40 The difference between the two numbers is 40 � 4 x 4 Boxes Box 1 17 18 19 20 X X+1 X+2 X+3 27 28 29 30 X+10 X+11 X+12 X+13 37 38 39 40 X+20 X+21 X+22 X+23 47 48 49 50 X+30 X+31 X+32 X+33 [image003.gif] [image011.gif] 17 x 50 = 850 x (x + 33)

• Word count: 3061
3. ## In this investigation I will explore the relationship between a series of straight, non-parallel, infinite lines on a plane surface and analyze the number of lines, maximum number of crossover points and open and closed regions.

Diagram 2B: (open regions are depicted with numbers, crossover point is high-lighted with a red circle) Diagram 2 B represents the most regions and crossover points possible for two straight lines. Therefore I can deduce that in order to create the maximum number of crossover points and the maximum number of open and closed regions all the lines in the diagram must cross over every other line. In this diagram there are: Number of Lines (n) Cross-Over Points Open Regions Closed Regions Total Regions 1 0 2 0 2 2 1 4 0 4 Diagram 3A: Diagram 3B In Diagram

• Word count: 3363
4. ## Number Sums Investigations

84 7+8+9+10+11+12+13+14, 9+10+11+12+13+14+15, 27+28+29 85 42+43, 4+5+6+7+8+9+10+11+12+13, 15+16+17+18+19 86 20+21+22+23 87 43+44, 12+13+14+15+16+17, 28+29+30 88 3+4+5+6+7+8+9+10+11+12+13 89 44+45 90 16+17+18+19+20, 2+3+4+5+6+7+8+9+10+11+12+13, 6+7+8+9+10+11+12+13+14, 29+30+31, 21+22+23+24 91 45+46, 1+2+3+4+5+6+7+8+9+10+11+12+13, 10+11+12+13+14+15+16, 21+22+23+24 92 8+9+10+12+13+14+15 93 46+47 94 22+23+24+25 95 47+48, 5+6+7+8+9+10+11+12+13+14, 17+18+19+20+21 96 31+32+33 97 48+49 98 23+24+25+26, 11+12+13+14+15+16+17 99 49+50, 4+5+6+7+8+9+10+11+12+13+14, 7+8+9+10+11+12+13+14+15, 14+15+16+17+18+19, 32+33+34 100 18+19+20+21+22, 9+10+11+12+13+14+15+16 Table of two number sums Number Sum Number Sum 1 0+1 51 25+26 3 1+2 53 26+27 5 2+3 55 27+28 7 3+4 57 28+29 9 4+5 59 29+30 11 5+6 61 30+31 13 6+7 63 31+32 15 7+8 65 32+33 17 8+9 67 33+34

• Word count: 3286