Active Maths - Problem Solving Maths for 10 - 12 Year Old by Ken Smilth

By Ken Smilth

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S S F F In all I found ................ pathways from (S) to (F). Page 34 Ready-Ed Publications Active Maths Name....................... (Teachers’ Blank Template) Stepping Stones Here is a set of numbered stepping stones. To travel over the stones you can only move ACROSS, UP or DOWN. No diagonal moves! Also, you cannot retrace your steps at any time or visit a stone more than once. S F Find pathways that will total: a) ..................... (draw it in red) b) ..................... (draw it in black) c) .....................

2 Only B and H are possible. P40. Act. 3 Wendy’s route: CBABFAEFEDACDKIDGHIGIJHJKDC She travelled 26kms. 4 roads more than once. DARTBOARD MATHS P41. Act. 3 Two darts 4 4+0; 3+1; 2+2 = 3 ways 5 5+0; 4+1; 3+2 = 3 ways 6 6+0; 5+1; 4+2; 3+3 = 4 ways 7 7+0; 6+1; 5+2; 4+3 = 4 ways Three darts 4 4+0+0; 3+1+0; 2+2+0; 2+1+1 = 4 ways 5 5+0+0; 4+1+0; 3+2+0; 3+1+1; 2+2+1 = 5 ways 6 6+0+0; 5+1+0; 4+2+0; 4+1+1; 3+3+0; 3+2+1; 2+2+2 = 7 ways. 12 can be made 16 ways. ) P42. Act. 2 59: 20+20+19 = 1 way 58: 20+20+18; 20+19+19 = 2 ways 57: 20+20+17; 20+19+18; 19+19+19 = 3 ways 56: 20+20+16; 20+19+17; 20+18+18; 19+19+18 = 4 ways Challenge: 30 can be made in the most different ways.

UNMAGIC SQUARES (a), (c), (d), (e) (b), (f) P22. Act. 1 20, 15, 42, 35, 28, 45 It will not work on all tables. g. 12 by 2 and 8 by 3; bottom right. NUMBER TRACKS P11-12 9 4 8 Using scissors - bottom activity: 4 14 7 9 15 1 12 6 P23. Act. 2 P14. Act. 1 A minimum of 6 colours is needed. Acts. 2 & 3 - Answers will vary. MURDER AT THE LODGE 10 8 13 3 5 11 2 16 Turn these three numbers upside down. examples of answers: 2 6 Miss Bailey, Lounge, Rat Poison. Ms Fisher, Hall, Silk Scarf. Mr Isaacs, Kitchen, Scissors.

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