Foundation tier unit a check in test Non-calculator Q1. Three of these fractions are equivalent. Which is the odd one out? 6 8 18 2 2 2 28 6 Q2. Helen scored 6 out of 50 possible points in a quiz. Write Helen s score as a percentage. Q. Write 2 9 as an improper fraction Q. Work out 1 5 Q5. Work out 2 + 5 Give your answer as a mixed number Q6. Find 5 8 of 6 kg Q. Work out 5 9 9 Q8. Work out 6 8 Q9. Work out 5 6 Give your answer in its simplest form. Q10. Here are four numbers. Which is the smallest number? GCSE Mathematics (9 1) Foundation tier Unit a check in test
Topics listed in objectives Use diagrams to find equivalent fractions or compare fractions; Write fractions to describe shaded parts of diagrams; Express a given number as a fraction of another, using very simple numbers, some cancelling, and where the fraction is both < 1 and > 1; Write a fraction in its simplest form and find equivalent fractions; Order fractions, by using a common denominator; Compare fractions, use inequality signs, compare unit fractions; Convert between mixed numbers and improper fractions; Add and subtract fractions; Add fractions and write the answer as a mixed number; Multiply and divide an integer by a fraction; Multiply and divide a fraction by an integer, including finding fractions of quantities or measurements, and apply this by finding the size of each category from a pie chart using fractions; Understand and use unit fractions as multiplicative inverses; Multiply fractions: simplify calculations by cancelling first; Divide a fraction by a whole number and another fraction; Recall the fraction-to-decimal conversion and convert fractions to decimals; Convert a fraction to a decimal to make a calculation easier, e.g. 0.25 8 = 1 8, or 8 10 = 0.5 10; Recognise recurring decimals and convert fractions such as, 1 and 2 into recurring decimals; Compare and order fractions, decimals and integers, using inequality signs; Understand that a percentage is a fraction in hundredths; Express a given number as a percentage of another number; Convert between fractions, decimals and percentages; Order fractions, decimals and percentages, including use of inequality signs. Answers Q1. 28 6 Q2. 2% Q. 22 9 Q. 15 Q5. 1 15 Q6. kg Q. 5 Q8. 56 Q9. 9 10 Q10. GCSE Mathematics (9 1) Foundation tier Unit a check in test
Foundation tier unit b check in test Calculator Q1. Emma is buying a caravan. The cash price is 12 000. Emma pays on an instalment plan. The total cost of the instalment plan is 200 more than the cash price. What is 200 as a percentage of 12 000? Q2. A small field has an area of 5000 m². 90% of the field is going to be used to grow wheat. Work out the area of the field is going to be used to grow wheat. Q. A child s train ticket to London costs 12. Joe has a railcard that gives him 60% off. How much does he save on a train ticket to London? Q. A packet of biscuits weighs 00g. The biscuit company makes some special packs with 15% extra free. Work out the weight of the free biscuits. Q5. Carol budgets 000 for a new kitchen. In fact she spends 560. Write 560 as a percentage of 000 Q6. Petra booked a family holiday. The total cost of the holiday was 500 plus VAT at 20%. What was the total cost of the holiday including VAT? Q. Chloe buys a car for 800. A year later she sells it and makes a 12% loss. How much did Chloe lose on the car? Q8. A builder makes 15% profit on building a garage. It cost him 16 800 to build the garage. How much was his profit? GCSE Mathematics (9 1) Foundation tier Unit b check in test
Q9. Susan s salary is 2 000. Susan pays 10% tax on her earnings above 11 500. How much tax does Susan pay? Q10. Here are two schemes for investing 2500 for years. Scheme A gives 5.5 interest each month. Scheme B gives % simple interest each year. Which scheme gives the most total interest over the year period? By how much? GCSE Mathematics (9 1) Foundation tier Unit b check in test
Topics listed in objectives Express a given number as a percentage of another number; Find a percentage of a quantity without a calculator: 50%, 25% and multiples of 10% and 5%; Find a percentage of a quantity or measurement (use measurements they should know from Key Stage only); Calculate amount of increase/decrease; Use percentages to solve problems, including comparisons of two quantities using percentages; Percentages over 100%; Use percentages in real-life situations, including percentages greater than 100%: Price after VAT (not price before VAT); Value of profit or loss; Simple interest; Income tax calculations; Use decimals to find quantities; Find a percentage of a quantity, including using a multiplier; Use a multiplier to increase or decrease by a percentage in any scenario where percentages are used; Understand the multiplicative nature of percentages as operators. Answers Q1. 1% Q2. 500 m² Q..20 Q. 60g Q5. 11% Q6. 200 Q. 56 Q8. 2520 Q9. 1150 Q10. Scheme B gives 2.0 more interest than scheme A GCSE Mathematics (9 1) Foundation tier Unit b check in test