Let's solve each problem step by step.
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Problem 1: Kiko’s Locker Code
Clues:
- It's a three-digit number.
- Has
2 in the hundreds place → So, the number starts with
2.
- Has
8 in the ones place → So, the number ends with
8.
- All digits are
even.
- No digits are
repeated.
#### Step-by-step:
We know:
- Hundreds digit = 2
- Ones digit = 8
- So the number is in the form:
2 _ 8
Now, we need to find the
tens digit, which must be:
- Even
- Not equal to 2 or 8 (no repeats)
- Digits that are even: 0, 2, 4, 6, 8
But since 2 and 8 are already used, possible tens digits:
0, 4, 6
So possible numbers:
- 208
- 248
- 268
✔ These are all valid because:
- All digits are even
- No repeated digits
- Hundreds = 2, ones = 8
Answer: Possible codes for Kiko:
208, 248, 268
---
Next part of Problem 1: Amy and Joe’s Codes
> Amy’s code is 10 more than Joe’s code.
> The hundreds digit is the same for both.
> The ones digit is also the same for both.
> Choose from: 412, 512, 422, 423, 523
Let’s analyze:
Since Amy’s code is
10 more than Joe’s, the
tens digit increases by 1, and the
ones digit stays the same.
Also,
hundreds digit is same, and
ones digit is same.
So we’re looking for two numbers where:
- Hundreds digit = same
- Ones digit = same
- One is 10 more than the other
Let’s check pairs:
1.
412 and
422: differ by 10? 422 - 412 = 10
✔
- Hundreds: 4 = 4
✔
- Ones: 2 = 2
✔
→ This pair works!
So Joe could have 412, Amy 422 (or vice versa)
2.
512 and
523: difference = 11
✘
3.
422 and
423: difference = 1
✘
4.
512 and
523: difference = 11
✘
5.
412 and
512: difference = 100
✘
Only
412 and 422 satisfy:
- Same hundreds digit (4)
- Same ones digit (2)
- Difference of 10
✔ So Joe and Amy’s codes are
412 and 422
Answer: Circle
412 and
422
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Problem 2: Hot Chocolate Prices
Prices:
- 100p
- 125p
- 152p
- 215p
####
Lou has 20p. Uncle gives her 100p. Gran gives her 5p.
Total money Lou has:
20 + 100 + 5 =
125p
She can buy the one that costs
exactly 125p.
✔ So she can buy the
125p hot chocolate.
Answer: Circle the
125p cup.
---
####
Laura has 315p. She buys the biggest hot chocolate. How much does she have left?
Biggest hot chocolate =
215p
Money left = 315 - 215 =
100p
✔ Answer:
100p
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####
Yusuf has 4 ten pence coins. Mum gives him 7 more ten pence coins. Does he have enough to buy a hot chocolate? Explain.
First, calculate total money:
- 4 × 10p = 40p
- 7 × 10p = 70p
- Total = 40 + 70 =
110p
Now, check if he can buy any hot chocolate:
- 100p → yes (he has 110p)
- 125p → no (110 < 125)
- 152p → no
- 215p → no
He can only afford the
100p hot chocolate.
✔ So,
yes, Yusuf has enough money to buy a hot chocolate — specifically, the 100p one.
Answer: Yes, Yusuf has 110p, which is enough to buy the 100p hot chocolate.
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✔ Final Answers Summary:
####
Problem 1:
- Kiko’s possible codes:
208, 248, 268
- Joe and Amy’s codes:
412 and 422
####
Problem 2:
- Lou can buy:
125p hot chocolate
- Laura has
100p left
- Yusuf:
Yes, he has 110p, which is enough for the 100p hot chocolate.
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Parent Tip: Review the logic above to help your child master the concept of place value worksheet word problems.