Bicycling is a great way to exercise save fuel, and help the environtment. We can all make the earth a better place by riding bicycles.

Math facts used for this worksheet:
Time = distance/speed
1 kilometer = 1000 meters

Use a calculator to solve the problem below.

1. Andi rides his bike 16 kilometers to school. If Andi’s average speed while riding to school is 12 kilometers per hour, how long will it take him to get to school ?

2. Sarah’s bike travel 2 meters each time her wheels go around one complete revolution. How many times would Sarah’s wheel go round to travel 1 kilometer
on her bike ? (Hint, there are 1000 meters in a kilometer)

3. Each time Jil turns the pedals around one complete turn, her bike travel 2.5 meters. If Jill turned the pedals around 800 times, how many meters would she have traveled ?

4. There are 1000 meters in 1 kilometer. Using your answer in problem 3, how many meters did Jill travel when she turned the the pedals on her bike 800 times ?

5. If Jill’s bike travel 4 meter each time she turns the pedals are complete turn, how many times would she have to turn the pedals to travle 3 kilometers ?

Math Answer:

1. Time = distance/speed (16/12= 1.3 hours)
2. 1000 km/2 meter = 500 wheel rotations
3. 800 x 2.5 meters = 2000 meters
4. 200/1000 = 2 kilometers
5. Jill wolud have turned the pedals 750 timesto travle 3 kilometers if her bike traveled 4 meters each time the pedals were turned. This is calculated by first converting 3 kilometers into meters: 1000 meters  x 3 = 3000 meters. You then divide 4 meter into 3000 meters to determine the number of times Jill needed to turn the pedals to travle 3 kilometers: 3000 meters/4 meters = 750 pedal rotations.

(Hint: Use your algebra skills to factor the expression.)

Answer ?
Answer: 1/3

1. A population of squirrels triples each year. If there are 50 squirrels now, how many will there be 5 years from now?

2. Alannah puts $0.01 into a bank account which will double her money each day. She needs $20.00 to buy a toy. How many days will it take until she has enough money?

3. Britney Gallivan was the rst person to fold a piece of paper in half 12 times,
something which had previously been believed to be impossible. How many layers of paper would be in that stack?

4. Ramone dumped a large bucket of water onto his driveway to rinse it o. The water from the bucket covered twice as much area every 2 seconds after it initially hit the ground. After 20 seconds, the whole driveway was covered.
How long did it take the water to cover half of the driveway?

5. Below we see the first couple stages of Sierpinski’s Triangle. In each stage a
triangle 1/4 of the size of each existing black triangle is cut out from the centre of the black triangle. If the original large black triangle has an area of 100 cm², what is the area of the each triangle removed in the 6th stage? How many black triangles are there after the 6th stage?

Answer:

1. 12150 squirrels
2. 11 days
3. 4096
4. 18 seconds

1. Sam was buying hot dogs and hot dog buns for a backyard barbeque. Hot Dogs come in packs of 16, but buns come in packs of 12. How many packs of each will Sam have to buy so that there are no hot dogs or buns left over?

2. A florist has 72 roses, 84 tulips and 48 orchids that she wants to use to create bouquets. What is the largest number of identical bouquets she can put together without having any  owers left over?

3. Three alarm clocks are set o at the same time. If the rst one beeps every 9
seconds, the second one beeps every 12 seconds and the third one beeps every 15 seconds, how long will it be until they beep at the same time?

4. Vince has three pieces of rope with lengths of 300 cm, 312 cm and 396 cm. He wants to cut the three pieces of rope into smaller pieces of equal length with none left over.
(a) What is the greatest possible length of each of the smaller pieces of rope?
(b) How many of the smaller pieces of rope will he have altogether?

5. Two flashing signs are turned on at the same time. One sign flashes every 4
seconds and the other flashes every 6 seconds. How many times will they
flash at the same time in 1 minute?

6. Valerie is cutting a huge block of cheese into smaller cubes for her kids’ snack time. If the block of cheese measures 15 cm by 30 cm by 42 cm and each cube of cheese has a whole number of centimetres as a side length, what is the size of the largest cubes she can cut the block into so there is no leftover cheese?

7. Joe lists the following fractions: 1/56; 2/56; ….  55/56;56/56
He then crosses out any of them that are not in lowest form. How many fractions are left uncrossed once he is done?

8. (a) When is the least common multiple of two numbers a and b equal to axb?
(b) When is the least common multiple of two numbers a and b equal to either
a or b?

9. The gcd of two numbers is 30, and the lcm is 840. If one of the numbers is 120, what is the other number?

10. If a number a is a factor of b and a factor of c, is a a factor of b + c? Explain.

Answer:

1. 3 packs of hot dogs and 4 packs of buns
2. 12 bouquets each consisting of 6 roses, 7 tulips, and 4 orchids
3. 180 seconds
4. (a) 12 cm
(b) 84 smaller pieces of rope
5. 5 times
6. 3 cm x 3 cm x 3 cm
7. 24
8. (a) when gcd(a; b) = 1
(b) when a divides b or b divides a
9. 210
10. Yes.

Answer:

Suppose in each box there are A marbles.

We have,

9A = 3 x (A + 10)
9A = 3A + 30
6A = 30
A = 5

The number of marbles that I have is 9 x A = 9 x 5 = 45 marbles.

Answer:
13

From the picture above, will set up a pyramid (square pyramid) by connecting each point of the triangle top. If after the formation of a high pyramid paramida note that these are 4 cm. What area of the entire surface (side) of the pyramid ?

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Answer:
96 cm²

Given that the distance of a place A to place B is 10 km and the C right in the middle of the line AB. Determine how the difference in distance traveled by the first choice and the distance traveled by the second option !

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Answer:
The difference is 0 (zero)