After revising long and hard for their exam over the past couple of months, British teenagers have finally received their GCSE results today (stock image)

After revising long and hard for their exams over the past couple of months, British teenagers have finally received their GCSE results today.

Year 11’s results day makes for a tense spectacle for both students and their parents, who will undoubtedly have to scrub up on their numeracy and literacy skills themselves to help their children study.

The examinations were done and dusted in June, with pupils putting their pens down in some subjects for the final time. 

From Year Nine onwards, teenagers are taught more challenging mathematical concepts such as algebra, geometry, fractions, ratio, logic and statistics with the idea that this will set them up for life.  

However, those who haven’t scrubbed up on their maths skills recently may have forgotten the basics. 

So, how would you fare if faced with GCSE questions that 16-year-olds have to answer?

The Daily Mail have plucked some real questions from taken from a 2024 OCR non-calculator higher paper. 

Whether you’ll be twiddling your thumbs or frantically scribbling down sums, try your best to answer correctly and check the answers at the bottom of the article… 

After revising long and hard for their exam over the past couple of months, British teenagers have finally received their GCSE results today (stock image)

After revising long and hard for their exam over the past couple of months, British teenagers have finally received their GCSE results today (stock image)

From Year Nine onwards, teenagers are taught mathematical concepts such as algebra, geometry, fractions, ratio, logic and statistics with the idea that this will set them up for life (stock image)

From Year Nine onwards, teenagers are taught mathematical concepts such as algebra, geometry, fractions, ratio, logic and statistics with the idea that this will set them up for life (stock image)

Here are 12 questions from a GCSE Higher Tier OCR mathematics exam. You may need a pen and paper… 

1. Work out 1.2 ÷ 0.03

2. Solve the following problem: 

3 (A) y is directly proportional to x. Write down the percentage increase in y when x is increased by 100% 

(B) z is inversely proportional to x. Write down the percentage decrease in z when x is increased by 100%.

4. Find the value of a in the problem below: 

5. Solve the inequality below: 

6. Sasha invests £1000 at a rate of 5% per year compound interest. Sasha says: ‘After one year, my investment will get £50 in interest and will be worth £1050. Therefore, after two years, my investment will get another £50 in interest and will be worth £1100.’ Is Sasha correct? Give a reason for your answer

7. Expand and simplify: (X+3)(4X+1)(X-2)

8. Find the nth term in the following sequence:

9. Work out the perimeter of the shape below:

10. Two prisms, A and B, are mathematically similar. The ratio of the volume of prism A to the volume of prism B is 8 : 27. The height of prism A is 6 cm. Work out the height of prism B.

THE ANSWERS  

1. 40

2. 1800 final answer and 200 and 9 shown in workings out

3. (A) 100 (B) 50

4. 8

5. 

6. No AND correct valid reason or correct supporting values e.g. The value of the interest changes each year as the amount grows. It is exponential growth. Compound interest means the interest grows each year

7.   

8. 

 9. 

10.

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