Maths test

Seite 1

Question 1:

Q: In a year group of 96 students, 60 owned a bike. Express 60 as a percentage of 96.

A: 60 /90 x 100 = 62.5%

Question 2:

Q: Work out 12.5% of £600

A: 10%=60 1%=12 0.5%=3

60=12=3= 75

Question 3:

Q: A choir has 56 members. 35 of the members are female. 40% of the male members wear glasses. How many male members do not wear glasses?

A: 21 Male members. 40%=8 members wear glasses. 21-8=13 male members don't wear glasses.

Question 4:

Q: A theater increases the prices of its tickets by 4.8% each year. In 2010, a top price ticket cost £150. Calculate the price of this ticket in 2011.

A: 1%=6 0.5%=0.75 0.1%=0.45 6+0.75+0.45=£7.20 £150 + £7.20=£157.20

Question 5:

Q: The population of a village in 2006 was 2400. In 2010, the population had decreased by 12%. What was the population of the village in 2010?

A: 10%=240 1%=48 240+48=288 2400-288=2112

Question 6:

Q: A supermarket reduced the price of their cheesecake from £1.60 to £1.12. Find the percentage decrease in the price of the cheesecake.

A: 1.60-1.12=0.48 0.48/1.60 x 100= 30%

Question 7:

Q: A man bought a car in an auction for £6350 and, after repairing it, he sold it for £7295. Calculate the percentage profit.

A: 7295-6350=945 945/6350 x 100=14.9%

Question 8:

Q: After an increase of 4% the price of a railway season ticket is £998.40. What was the price before the increase?

A: 104%=998.40 1%=9.6 100%= £960

Question 9:

Q: A washing machine costs £504 including 20% VAT. Calculate the cost of the washing machine before VAT is added.

A: 100+20=120 120%=£504 1%=£4.20 100%= £420

Question 10:

Q: Due to the release of the iPhone 5, a mobile phone store reduces the prices the price of the iPhone 4s by 25% to £280. What was the price of the iPhone 4s before the reduction?

A: 100-25=75 75%=£280 1%=£3.733 100%=£373.30

Question 11:

Q: Raj invested £4500 for 3 years in a savings account. He was paid 4% compound interest per year. How much did Raj have in his savings account after 3 years?

A: 1.04^3 x 4500=5061.888 answer= £5061.89

Question 12:

Q: A new car is valued at £20,000. At the end of each year its value is reduced by 15% of its value at the start of the year. What will it be worth after 3 years?

A: 1.0-0.15=0.85 0.85 x 20,000=£12,282.50

Question 13:

Q: Jaspir invested £2400 for n years in a savings account. He was paid 7.5% per annum compound interest. At the end of n years he had £3445.51 in the savings account. Work out the value of n.

A: 1.0+0.75=1.075 3445.51/1.0756^n=3205.13

3205.13/1.075=2981.51

2981.51/1.075=2773.50

2773.50/1.075=2579.00

Question 14:

Q: A shop increases all its prices by 10%. One month later, it advertises 10% off all marked prices. Are the goods cheaper, the same or more expensive than before the price increase? Show how you work out your answer.

A: EXAMPLE- Before: 10% 250 25+250=275 After: 10% 275 275-27.5=247.5. Therefore, the goods aren't more expensive- they are cheaper.

Question 15:

Q: A 750ml bottle of shampoo costs £2.45. In a special offer, the bottle size is increased by 15% and the price is reduced by 15%. Find the original and the new cost per litre of the shampoo.

A: 10% of 740=74 5%=37 37+74=111+740=851ml bottle.

15%= 245p= 36.75p 245-36.75= £2.08 Original price= 245p/740ml=0.331p x 1000= £3.31 New price= 208p/851= 0.244 x 1000=244p=£2.44

Question 16:

Q: A cuboid has dimensions xcm, xcm and ycm. x is increased by 10%= 110%=1.1

y is decreased by 20%=80%=0.8

Work out and describe the percentage change in the volume of the cuboid.

A: Original volume: l-100% x w-100% x h-100%= 1,000,000%

New volume: w-110% x h-110% x l-80%=968,000% 1,000,000-968,000= 32,000/1,000,000 x 100 = 32/10 = 3.2% decrease

Question 17:

Q: Sophie sells birthday cards. She adds 30% profit to the cost price and sells the cards for £2.34 each. She wants to increase her profit to 40% of the cost price. How much should she sell each card for?

A: 100+30=130% 130%=234p 1%=1.8p 140%=252p= £2.52

Question 18:

Q: In a school 60% of the students are girls. 50% of the girls walk to school. 20% of the boys walk to school. What percentage of the school walk to school?

A: 60%= girls

40%= boys

30% girls walk to school 8% of boys walk to school

30+8= 38%

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