Question

Jumpy Animals
A frog jumps 2 steps at a time.
A squirrel jumps 3 steps.
A rabbit jumps 5 steps.
A horse jumps 15 steps.
A kangaroo jumps 30 steps.
Use the path on the next page to find out:
1. In how many jumps will the frog reach 30?
30 ÷ 2 = _________
2. In how many jumps will the squirrel reach 27?
27 ÷ 3 = _________
3. Which number will the kangaroo reach in two jumps?
4. Who all will meet at the number 15?
_________, _________, _________
5. Will the rabbit ever be at the number 18? ________
6. How many jumps of the rabbit equal one jump of the horse? ________
7. How many jumps of the horse equals two jumps of the kangaroo?
8. Which is the smallest number where the frog and the squirrel will meet?

Answer 1

1. Number of jumps frog takes to reach 30 = 30 ÷ 2
= 15 jumps

Frog will take 15 jumps to reach 30.

2. Number of jumps squirrel takes to reach 27 = 27 ÷ 3
= 9 jumps

Squirrel will take 9 jumps to reach 27.

3. Kangaroo takes 30 steps in one jump.
It takes two jumps in total.
So, in 2 jumps kangaroo will reach at number = 30 $\times$ 2
= 60

Kangaroo will reach at number 60 in two jumps.


4. Number 15 comes in the table of 3, 5 and 15.

Squirrel will reach at 15 because 3 $\times$ 5 = 15
Rabbit will reach at 15 because 5 $\times$ 3 = 15
Horse will reach at 15 because 15 $\times$ 1 = 15

So, squirrel, rabbit, and horse will meet at number 15.

5. Rabbit takes five steps in one jump.

In 2 jumps, rabbit will reach at number = 2 $\times$ 5
= 10
In 3 jumps, rabbit will reach at number = 3 $\times$ 5
= 15
In 4 jumps, rabbit will reach at number = 4 $\times$ 5
= 20

We can see that rabbit will not reach at number 18 in any of his jumps.

6. Horse takes 15 steps in one jump.
Rabbit takes 5 steps in one jump.
Steps covered by rabbit in 3 jumps = 3 $\times$ 5
= 15

Thus, horse takes 3 jumps to cover 15 steps.

So, three jumps of rabbit is equal to one jump of the horse.

7. Kangaroo takes 30 steps in one jump.
Steps covered by kangaroo in two jumps = 2 $\times$ 30
= 60

Horse takes 15 steps in one jump.
Number of jumps taken by horse to cover 60 steps = 60 $÷$ 15
= 4
Horse takes 4 jumps to cover 60 steps.

So, four jumps of the horse is equal to two jumps of the kangaroo.

8. Frog takes two steps in one jump.
Frog takes steps 2, 4, 6, 8 and so on.

Squirrel takes three steps in one jump.
Squirrel takes steps, 3, 6, 12, 15 and so on.

Number 6 is the common step of both frog and squirrel.

So, the smallest number where frog and squirrel will meet is 6.