Number Patterns
1. Rahmiya wants to find how many wheels are on 9 bicycles.
Each bicycle has 2 wheels.
So, the total number of wheels is calculated by multiplying 9 bicycles by 2 wheels each:
$$9 \times 2 = 18$$
Thus, there are 18 wheels on 9 bicycles.
2. Rahmiya's jumps of 2 on the number line represent counting by twos.
Starting at 0: 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
We jump every 2 units to reach the number of wheels, 18, at the 9th jump.
3. For the missing numbers:
- "12 (ten fewer) 10 (ten more)"
Ten fewer than 12 is 2 because $$12 - 10 = 2$$.
Ten more than 10 is 20 because $$10 + 10 = 20$$.
Thus the missing numbers are 2 and 20 respectively.
- "(blank box) (ten more) 8 (ten fewer)"
Ten more than 8 is 18 because $$8 + 10 = 18$$.
Ten fewer than 8 is -2 because $$8 - 10 = -2$$.
So the missing numbers are 18 and -2.
4. For sorting numbers into odd and even circles:
- Odd numbers: 13, 5, 15, 1
- Even numbers: 18, 8
5. On Mrs Arain's socks question:
She washes 14 socks, which is an even number.
She always pegs an odd number of socks, so 14 cannot be pegs all because 14 is even.
6. For shoes:
6 pairs of shoes means $$6 \times 2 = 12$$ shoes.
On the number line, starting at 0, count by twos 6 times to reach 12.
7. Write missing numbers for number pattern:
- "two fewer <— [14] —> two more"
Two fewer than 14 is 12; two more than 14 is 16
- "ten fewer <— [13]"
Ten fewer than 13 is 3 because $$13 - 10 = 3$$.
Final answers:
- Wheels on 9 bicycles: 18
- Missing numbers in question 3: 2, 20, 18, -2
- Odd numbers: 13, 5, 15, 1
- Even numbers: 18, 8
- Mrs Arain cannot peg all socks because 14 is even
- Shoes in 6 pairs: 12
- Numbers for two fewer/more of 14: 12 and 16
- Ten fewer than 13: 3