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# Q4

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### Q4

1. 1. <ul><li>A millipede is crawling up a slippery wall in a straight line, without resting. For every 3 cm it climbs up, it slips 1 cm down the wall. It takes 3 seconds to climb 1 cm up the wall and 1 second to slip 1 cm down the wall </li></ul><ul><li>a)  How far would the millipede have climbed after 1 minute? </li></ul><ul><li>b)  What is the shortest time that the millipede will take to climb 56 cm? </li></ul>© mathsheuristics  1 1 1 3 Distance/cm Total Distance/cm Time/s
2. 2. <ul><li>A millipede is crawling up a slippery wall in a straight line, without resting. For every 3 cm it climbs up, it slips 1 cm down the wall. It takes 3 seconds to climb 1 cm up the wall and 1 second to slip 1 cm down the wall </li></ul><ul><li>a)  How far would the millipede have climbed after 1 minute? </li></ul><ul><li>b)  What is the shortest time that the millipede will take to climb 56 cm? </li></ul>© mathsheuristics  1 1+1 = 2 1 6 1 1 3 Distance/cm Total Distance/cm Time/s
3. 3. <ul><li>A millipede is crawling up a slippery wall in a straight line, without resting. For every 3 cm it climbs up, it slips 1 cm down the wall. It takes 3 seconds to climb 1 cm up the wall and 1 second to slip 1 cm down the wall </li></ul><ul><li>a)  How far would the millipede have climbed after 1 minute? </li></ul><ul><li>b)  What is the shortest time that the millipede will take to climb 56 cm? </li></ul>© mathsheuristics  1 2+1 = 3 1 9 1+1 = 2 1 6 1 1 3 Distance/cm Total Distance/cm Time/s
4. 4. <ul><li>A millipede is crawling up a slippery wall in a straight line, without resting. For every 3 cm it climbs up, it slips 1 cm down the wall. It takes 3 seconds to climb 1 cm up the wall and 1 second to slip 1 cm down the wall </li></ul><ul><li>a)  How far would the millipede have climbed after 1 minute? </li></ul><ul><li>b)  What is the shortest time that the millipede will take to climb 56 cm? </li></ul>© mathsheuristics  1 3 – 1 = 2 – 1 10 2+1 = 3 1 9 1+1 = 2 1 6 1 1 3 Distance/cm Total Distance/cm Time/s
5. 5. <ul><li>A millipede is crawling up a slippery wall in a straight line, without resting. For every 3 cm it climbs up, it slips 1 cm down the wall. It takes 3 seconds to climb 1 cm up the wall and 1 second to slip 1 cm down the wall </li></ul><ul><li>a)  How far would the millipede have climbed after 1 minute? </li></ul><ul><li>b)  What is the shortest time that the millipede will take to climb 56 cm? </li></ul>© mathsheuristics  1 3 – 1 = 2 – 1 10 2+1 = 3 1 9 2+1 = 3 1 13 1+1 = 2 1 6 1 1 3 Distance/cm Total Distance/cm Time/s
6. 6. <ul><li>A millipede is crawling up a slippery wall in a straight line, without resting. For every 3 cm it climbs up, it slips 1 cm down the wall. It takes 3 seconds to climb 1 cm up the wall and 1 second to slip 1 cm down the wall </li></ul><ul><li>a)  How far would the millipede have climbed after 1 minute? </li></ul><ul><li>b)  What is the shortest time that the millipede will take to climb 56 cm? </li></ul>© mathsheuristics  1 3+1 = 4 1 16 3 – 1 = 2 – 1 10 2+1 = 3 1 9 2+1 = 3 1 13 1+1 = 2 1 6 1 1 3 Distance/cm Total Distance/cm Time/s
7. 7. <ul><li>A millipede is crawling up a slippery wall in a straight line, without resting. For every 3 cm it climbs up, it slips 1 cm down the wall. It takes 3 seconds to climb 1 cm up the wall and 1 second to slip 1 cm down the wall </li></ul><ul><li>a)  How far would the millipede have climbed after 1 minute? </li></ul><ul><li>b)  What is the shortest time that the millipede will take to climb 56 cm? </li></ul>© mathsheuristics  1 4+1=5 1 19 3+1 = 4 1 16 3 – 1 = 2 – 1 10 2+1 = 3 1 9 2+1 = 3 1 13 1+1 = 2 1 6 1 1 3 Distance/cm Total Distance/cm Time/s
8. 8. <ul><li>A millipede is crawling up a slippery wall in a straight line, without resting. For every 3 cm it climbs up, it slips 1 cm down the wall. It takes 3 seconds to climb 1 cm up the wall and 1 second to slip 1 cm down the wall </li></ul><ul><li>a)  How far would the millipede have climbed after 1 minute? </li></ul><ul><li>b)  What is the shortest time that the millipede will take to climb 56 cm? </li></ul>© mathsheuristics  1 5 – 1 = 4 – 1 20 ? 60 : : 4+1=5 1 19 3+1 = 4 1 16 3 – 1 = 2 – 1 10 2+1 = 3 1 9 2+1 = 3 1 13 1+1 = 2 1 6 1 1 3 Distance/cm Total Distance/cm Time/s
9. 9. <ul><li>A millipede is crawling up a slippery wall in a straight line, without resting. For every 3 cm it climbs up, it slips 1 cm down the wall. It takes 3 seconds to climb 1 cm up the wall and 1 second to slip 1 cm down the wall </li></ul><ul><li>a)  How far would the millipede have climbed after 1 minute? </li></ul><ul><li>b)  What is the shortest time that the millipede will take to climb 56 cm? </li></ul>© mathsheuristics  10÷5=2 1 5 – 1 = 4 – 1 20 ? 60 : : 4+1 = 5 1 19 3+1 = 4 1 16 3 – 1 = 2 10 2+1 = 3 1 9 2+1 = 3 1 13 1+1 = 2 1 6 1 1 3 Distance/cm Total Distance/cm Time/s 2 ÷ 5
10. 10. <ul><li>A millipede is crawling up a slippery wall in a straight line, without resting. For every 3 cm it climbs up, it slips 1 cm down the wall. It takes 3 seconds to climb 1 cm up the wall and 1 second to slip 1 cm down the wall </li></ul><ul><li>a)  How far would the millipede have climbed after 1 minute? </li></ul><ul><li>b)  What is the shortest time that the millipede will take to climb 56 cm? </li></ul>© mathsheuristics  10÷5=2 20÷5=4 1 5 – 1 = 4 20 ? 60 : : 4+1 = 5 1 19 3+1 = 4 1 16 3 – 1 = 2 10 2+1 = 3 1 9 2+1 = 3 1 13 1+1 = 2 1 6 1 1 3 Distance/cm Total Distance/cm Time/s 2 ÷ 5 ÷ 5
11. 11. <ul><li>A millipede is crawling up a slippery wall in a straight line, without resting. For every 3 cm it climbs up, it slips 1 cm down the wall. It takes 3 seconds to climb 1 cm up the wall and 1 second to slip 1 cm down the wall </li></ul><ul><li>a)  How far would the millipede have climbed after 1 minute? </li></ul><ul><li>b)  What is the shortest time that the millipede will take to climb 56 cm? </li></ul>© mathsheuristics  Ans 12cm 10÷5=2 20÷5=4 60÷5=12 1 5 – 1 = 4 20 : : 5 60 4+1 = 5 1 19 3+1 = 4 1 16 3 – 1 = 2 10 2+1 = 3 1 9 2+1 = 3 1 13 1+1 = 2 1 6 1 1 3 Distance/cm Total Distance/cm Time/s 2 ÷ 5 ÷ 5 ÷ 5
12. 12. <ul><li>A millipede is crawling up a slippery wall in a straight line, without resting. For every 3 cm it climbs up, it slips 1 cm down the wall. It takes 3 seconds to climb 1 cm up the wall and 1 second to slip 1 cm down the wall </li></ul><ul><li>a)  How far would the millipede have climbed after 1 minute? </li></ul><ul><li>b)  What is the shortest time that the millipede will take to climb 56 cm? </li></ul>© mathsheuristics  x5 1 56 ? : : 5 – 1 = 4 – 1 20 56 ? 4+1 = 5 1 19 3+1 = 4 1 16 3 – 1 = 2 10 2+1 = 3 1 9 2+1 = 3 1 13 1+1 = 2 1 6 1 1 3 Distance/cm Total Distance/cm Time/s 2 3 Same – 4
13. 13. <ul><li>A millipede is crawling up a slippery wall in a straight line, without resting. For every 3 cm it climbs up, it slips 1 cm down the wall. It takes 3 seconds to climb 1 cm up the wall and 1 second to slip 1 cm down the wall </li></ul><ul><li>a)  How far would the millipede have climbed after 1 minute? </li></ul><ul><li>b)  What is the shortest time that the millipede will take to climb 56 cm? </li></ul>© mathsheuristics  x5 x5 1 56 ? : : 5 – 1 = 4 20 56 ? 4+1 = 5 1 19 3+1 = 4 1 16 3 – 1 = 2 10 2+1 = 3 1 9 2+1 = 3 1 13 1+1 = 2 1 6 1 1 3 Distance/cm Total Distance/cm Time/s 2 3 Same – 4 – 4 Same
14. 14. <ul><li>A millipede is crawling up a slippery wall in a straight line, without resting. For every 3 cm it climbs up, it slips 1 cm down the wall. It takes 3 seconds to climb 1 cm up the wall and 1 second to slip 1 cm down the wall </li></ul><ul><li>a)  How far would the millipede have climbed after 1 minute? </li></ul><ul><li>b)  What is the shortest time that the millipede will take to climb 56 cm? </li></ul>© mathsheuristics  x5 1 56 ? : : 5 – 1 = 4 20 56 56x5= 280 4+1 = 5 1 19 3+1 = 4 1 16 3 – 1 = 2 10 2+1 = 3 1 9 2+1 = 3 1 13 1+1 = 2 1 6 1 1 3 Distance/cm Total Distance/cm Time/s 2 3 Same – 4 – 4 Same Same x5 x5
15. 15. <ul><li>A millipede is crawling up a slippery wall in a straight line, without resting. For every 3 cm it climbs up, it slips 1 cm down the wall. It takes 3 seconds to climb 1 cm up the wall and 1 second to slip 1 cm down the wall </li></ul><ul><li>a)  How far would the millipede have climbed after 1 minute? </li></ul><ul><li>b)  What is the shortest time that the millipede will take to climb 56 cm? </li></ul>© mathsheuristics  x5 Ans 286 s 1 56 280-4=276 : : 5 – 1 = 4 20 56 56x5= 280 4+1 = 5 1 19 3+1 = 4 1 16 3 – 1 = 2 10 2+1 = 3 1 9 2+1 = 3 1 13 1+1 = 2 1 6 1 1 3 Distance/cm Total Distance/cm Time/s 2 3 Same – 4 – 4 Same Same x5 x5 – 4