1. Worded percentage questions

2. Jacob sat his Science exams in 3 papers; Physics, Chemistry and Biology. Physics was out of 110 marks, Chemistry was out of 96 marks and Biology was out of 120 marks. Jacob scored 60% in Physics, 50% in Chemistry and 65% in Biology. How many marks did he score in total? Marks for Physics: Marks for Chemistry: Marks for Biology: Total Marks: 66 + 48 + 78 = 192 marks

3. In year 10 there are 225 students. 52% of these students are boys. A third of the girls in year 10 study ITC and 25% of these girls also study Business. 1.How many boys are there in year 10? 2.How many girls in year 10 study both ITC and Business?

4. In year 10 there are 225 students. 52% of these students are boys. A third of the girls in year 10 study ITC and 25% of these girls also study Business. How many boys are there in year 10? If you had a calculator: 225 x 0.52 = 117 If you didn’t: it’s not easy to find 50% of 225 and then add on 2%!

5. In year 10 there are 225 students. 52% of these students are boys. A third of the girls in year 10 study ITC and 25% of these girls also study Business. How many girls in year 10 study both ITC and Business? the calculation we need to do is: The number of girls x third x 25% How many girls are there in year 10?225 – 117 = 108 The number of girls in Y10 studying ITC: 108 x ⅓ = 36 Number of Y10 girls studying both ITC and Business: 36 x 25% = 9

6. 60% of students studying Art at KS4 are girls. 30% of these girls also study design and technology. 40% of the boys taking Art also study design and technology. What fraction of KS4 Art students also study Design and Technology? The number of KS4 Art students is more than 100 students but less than 200 students. How many KS4 students study Art? Explain your working.

7. 60% of students studying Art at KS4 are girls. 30% of these girls also study design and technology. 40% of the boys taking Art also study design and technology. What fraction of KS4 Art students also study Design and Technology? Girls: Boys: Total:

8. 60% of students studying Art at KS4 are girls. 30% of these girls also study design and technology. 40% of the boys taking Art also study design and technology. The number of KS4 Art students is more than 100 students but less than 200 students. How many KS4 students study Art? Explain your working. From our previous answer we know that: is the fraction studying KS4 Art and DT. What does this fraction tell us about the total number of students studying Art? Clue: look at the denominator The total number of students studying art must be a MULTIPLE of 50. 50, 100, 150, 200, 250, etc. Answer: 150 students study art at KS4.