Maths Problems for Class 10

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Questions and Answers

What is the temperature difference between midnight and midday if the midday temperature is 10°C and the midnight temperature is 4°C?

6°C

If the temperature at midnight is -7°C and at noon is 3°C, what is the average temperature at 10 am?

-2°C

Is Jenny correct in saying the 10 am temperature is halfway between midnight and midday? Why?

No, because the midpoint is -2°C but the 10 am temperature is -1°C.

Calculate the product of 342 and 24.

8208 Signup and view all the answers

How much would the teacher pay for 150 memory sticks at Comp Parts?

£600 Signup and view all the answers

At Z Parts, how much does the box of 10 memory sticks cost?

£35 Signup and view all the answers

Which shop should the teacher choose based on cost for buying 150 memory sticks?

Comp Parts, as it costs £600 compared to £675 from Z Parts. Signup and view all the answers

What is the total cost Yusuf incurs for 100 tickets sold at £16 each?

£1600 Signup and view all the answers

What is the total cost of two brake cables given that one costs £5.68?

£11.36 Signup and view all the answers

Calculate the total cost for Michael's Cycle Repairs if the labor charge is £12.00 for 2 hours.

£24.00 Signup and view all the answers

If Tony buys one child ticket for £4.90 and one senior ticket for £5.85, what is the total cost?

£10.75 Signup and view all the answers

How many adult tickets did Stephanie buy if her total cost was £60.55 and each ticket costs £8.65?

7 Signup and view all the answers

If Kamala buys one adult ticket and two child tickets, what is her total cost if adult tickets are £8.65 and child tickets are £4.90?

£18.45 Signup and view all the answers

What is the expression for calculating the cost of two pedals if the total cost is £45.98?

£45.98 - £16.48 = £29.50, and then divide by 2. Signup and view all the answers

What is the result of 2 × (11 + 9)?

40 Signup and view all the answers

Work out the result of 20 - 5 × 3.

5 Signup and view all the answers

How do you calculate the total from the values 6000, 800, 40, 1200, 160, and 8?

Add them to get a total of 8208. Signup and view all the answers

If Zparts costs £35 per box, how many boxes are needed to reach a total of £525?

15 boxes are needed. Signup and view all the answers

What is the total cost for CompParts if 150 offers allow for 13 free offers?

The total cost becomes £548. Signup and view all the answers

What calculation would you perform to find the cost of 150 items if each sells for £4 and 1 is free?

Calculate (150 - 13) × £4. Signup and view all the answers

If 16 tickets are sold at £100 each, what is the total revenue from ticket sales?

The total revenue is £1600. Signup and view all the answers

What additional costs need to be added to £1200 to arrive at a total of £1610?

Additional fixed costs of £410 must be added. Signup and view all the answers

How is the total cost determined if the fixed costs are £410 and meals total £1200?

Add the fixed costs to the meal costs to get £1610. Signup and view all the answers

If 150 items are to be sold but 13 are free, how do you calculate the number of items sold?

You would sell 137 items. Signup and view all the answers

What common misunderstanding was noted regarding money notation in the responses?

Candidates often confused £96 with 0.96p, indicating a misunderstanding of monetary notation. Signup and view all the answers

What was the correct answer for part (b) and what was the modal incorrect answer observed?

The correct answer for part (b) was 22, while the modal incorrect answer frequently observed was 50. Signup and view all the answers

What percentage of candidates scored full marks on the question mentioned in E5?

88% of candidates scored full marks on that question. Signup and view all the answers

What was a common error made by candidates when calculating 10% of £7200?

Many candidates incorrectly found 10% as £720 instead of the required value for the question. Signup and view all the answers

In part (a) of a specific question, what mark did a significant number of candidates usually obtain?

Candidates usually obtained at least one mark by achieving a 7 in the unit column. Signup and view all the answers

What was a very common incorrect answer for the subtraction in part (b) that resulted in a score of -5?

Many candidates mistakenly took 9 from 4, resulting in -5 as a common incorrect answer. Signup and view all the answers

What common incorrect answers were noted in part (c) aside from the correct answer?

Common incorrect answers in part (c) included 15 and 2. Signup and view all the answers

What percentage of candidates failed to score on the challenging question mentioned in E6?

Just under 20% of candidates failed to score on that question. Signup and view all the answers

What is the result of $30 - (16 + 9)$?

5 Signup and view all the answers

Calculate $3 imes 2.5$. What is the answer?

7.50 Signup and view all the answers

If $4$ lots of $1.75$ equals what total amount?

7 Signup and view all the answers

What is the sum of $9$, $4.5$, and $2.25$?

15.75 Signup and view all the answers

What do the initials 'B1' and 'A1' refer to in the marking scheme?

'B1' indicates a basic point, while 'A1' indicates a correct answer. Signup and view all the answers

Using repeated addition, how would you express the calculation '24 lots of 36'?

It can be expressed as $36 + 36 + ... + 36$ (24 times). Signup and view all the answers

If you have a total of 90 and subtract 9, what will be the result?

81 Signup and view all the answers

What is the total result when adding $7.50$ and $7$ to $75.50$?

90 Signup and view all the answers

Study Notes

Maths Problems

Work out the difference between the temperature at midnight and the temperature at midday.
A teacher needs to buy a memory stick for each student. At which of the shops should he buy the memory sticks?
Yusuf is planning a disco party at his Youth Club. He sells 100 tickets. Does Yusuf charge enough to cover the cost of his expenses?
Complete this bill with costs of brake cables, pedals, and an unknown labour charge based on hours worked.
Work out different mathematical expressions with a mix of multiplication, addition and subtraction.
Tony buys one child ticket and one senior ticket. Work out the total cost.
Stephanie buys adult tickets only, with a total cost of £60.55. How many adult tickets does she buy?
Kamala buys one adult ticket and two child tickets, and pays with a £20 note. How much change should she get?
Work out 36 × 24
Add the numbers in each column.
Complete a table of calculations involving multiplication, addition, subtraction, and division.
Work out 30 – (16 + 9)
How far has the builder dug altogether?
Work out the difference between 34 and the sum of 15 and 17.
Work out 10% of £7200.
100 students are going on a school trip. There are 15 coaches. Each coach will carry the same number of students. How many students will go on each coach?
A shop sells 10 oranges for £2. The shopkeeper also has a special offer: buy 5 and get 1 free. What is the least amount of money needed to buy 40 oranges?

Errors

Many candidates worked out 10% of £7200 correctly to £720, however, they did not read the question correctly and then incorrectly used £720 for the answer to a different question.
Many also wrote the same answer in both parts of the question, generally £720 or £6480.
Many candidates were able to score at least one mark for part (a) of a question by obtaining a 7 in the unit column of their answer. However, a significant number of candidates were unable to obtain the correct answer.
Common incorrect answers included 217, 117, and 393.
A common incorrect answer here was 5.
Common incorrect answers here were 15 and 2.
Common incorrect answers included -5 and -7.
Common incorrect answers included Edinburgh and London.
Frequent incorrect answers for buying memory sticks included £548 for CompParts and £525 for Zparts.
Many candidates took away both 15 and 17 and got an answer of 2.
They were awarded one mark for a misread of taking 15 and 17 away from 34.
Many candidates wrote answers of £96 and 0.96p showing some misunderstandings.
The correct answer of 22 was rarely seen for the question about Stephanie buying only adult tickets.
The modal incorrect answer of 50 was frequently seen for Stephanie buying only adult tickets.

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Description

This quiz challenges you with various maths problems suitable for a 10th class level. You'll work on topics including temperature differences, ticket sales, and basic arithmetic operations. Test your skills in multiplication, addition, and real-life applications like budgeting and purchases.