Prime Numbers & Factors 1) Which of these numbers are prime ? 21 23 25 27 29 2) What are the next two prime numbers after 3O ? 3) Express the following numbers as prime factors: 1. 48 4. 60 7. 70 10. 100 2. 99 5. 180 8. 96 3. 52 6. 24 9. 64 4) From the numbers 8, 12, 16, 19, 20 a) Which number is a prime number? b) Which number is a square number? c) Which is a multiple of 5? d) Which is a factor of 84? 5) Which of these numbers are prime ? 18, 19, 20, 23,25, 27 Which are square numbers? 6) Express 1728 in prime factors. Fractions : Addition & Subtraction SECTION 1) 1] 1/4 + 1/2 6] 1/2 - 1/4 11] 2/3 + 2/5 2] 1/5 + 1/3 7] 1/3 - 1/5 12] 2/3 - 2/5 3] 1/7 + 1/4 8] 1/4 - 1/7 13] 3/7 - 2/9 4] 1/9 + 1/6 9] 1/6 - 1/9 14] 5/8 + 1/7 5] 1/8 + 1/3 10] 1/3 - 1/8 15] 3/4 - 5/9 SECTION 2) 1] 1/2 + 1/3 + 1/4 6] 3/5 + 1/4 - 5/16 2] 1/2 + 1/3 - 1/4 7] 3/4 - 7/8 + 1/2 3] 2/3 - 1/2 + 1/5 8] 5/6 + 1/3 - 5/12 4] 5/8 - 1/4 + 1/7 9] 1/8 - 1/2 + 2/3 5] 3/5 - 2/3 + 3/7 10] 8/9 - 1/3 - 1/5 FRACTIONS : Addition and Subtraction 1) 3/4 + 1/5 5) 5/7 - 3/14 2) 3/7 + 2/5 6) 3/4 - 9/16 3) 5/12 + 1/6 7) 19/2O - 3/4 4) 3/4 + 1/8 8) 2/5 - 4/7 9) 1 3 5 - + - - - = 2 5 9 1O) 3 4 5 2 - - - + - - - = 5 9 7 9 FRACTIONS (General) Section 1 1) Sketch a square and divide it in two. Divide each of the new rectangles in two equal parts. Continue doing this as many times as possible, note after each division how many parts there are in the square. Complete the table: Division No. No of lines drawn No of parts 1 1 2 2 1 4 3 2 8 4 2 16 5 4 6 4 7 8 9 1O 2) what fraction is 1° of a full circle? 3) Draw a triangle with all sides equal (all angles = 3O°) Draw in the three lines of symmetry. What fraction of the large triangle is each small triangle? 4) Write the following fractions in order of size: 1/4 3/5 2/7 5/12 15/17 3/8 1/9 (Hint - it is easier to use your calculator and convert to decimals first!) 5) Bill has £25.5O to divide among his four friends and himself. What fraction of the money does Bill get? More Questions: 1) Write down a 3-figure number whose digits are all different and do not include O. Reverse it (ie write it down backwards) Take the smaller number of the two from the larger. Reverse this answer and write it down. What is your answer? 2) What is this number? It is a 3-figure number, less than 3OO. It is divisible by 11. It is one less than a perfect square. 3) i) In a knockout competition there are 32 teams. How many matches must be played altogether to decide the winning team ? ii) In a football competition there are 6 teams. Each team plays each other team twice, once at home and once away. How many matches are played altogether? 4) i) How many 5p coins are worth £5 ? ii) What is the change after buying 3 loaves at 28p each ? iii) If 4 apples cost as much as 5 pears which is the dearer fruit ? iv) Find the cost of 2OO articles at 15p each v) What is the cost of 4 articles at 99p each ? 5) Equal numbers of 13p and 15p stamps are bought for £5.6O. How many of each kind were there ? CALENDER: 1) Two days ago I was 13, next year I shall be 16. What is the date today and when is my birthday? 2) Which of these years was a leap year: a) 1974 b) 182O c) 1O66 d) 1991 3) Use your calculator to find out how many hours there were in the years 16OO and 16O1. MEASUREMENT QUESTIONS 1) Conversion: Complete the table below: Quantity New Units 1.25 m = cm 52 kg = g 0.75 km = m 47 mg = g 6yds 2ft = ft 8st 10lb = lb 3258 g = kg 2.5 tonne = kg 2) 1kg = 2.21lb, 300kg = ? 3) The exchange rate in France is 10.8 francs = £1.00 Convert the following: £10 = francs £5.50 = francs £ = 200 francs £ = 1250 francs 4) 1lb = 0.45kg, A 2kg bag of sugar must weigh lb ? 5) Total the following shopping list: 5lb of potatoes @ 12p per lb = 2lb of carrots @ 15p per lb = 1lb of steak @ £1.95 per lb = 4kg of sugar @ 65p per kg = 2 l of wine @ £3.25 per l = TOTAL = Change from a £20.00 note = 6) 5 miles is approximately 8km. How far, in km, is it from Plymouth to Newcastle if it is measured as 412 miles on the map? 7) Complete the following table: COUNTRY EXCHANGE RATE / £ £p $ America 2.10 £210.00 Australia 2.50 $5000.00 America 2.45 $ 125.50 Australia 2.00 £432.55 8) To convert pints to litres you multiply by 0.56 To convert litres to pints you divide by 0.56 1 pint = litres 1 litre = pints 5 pints = litres 10 litres = pints 9) If I saved £3.25 each week for two years (not leap years) would I have enough to buy an Amiga computer costing £350.00 ? If your answer is YES how much change would I get? If your answer is NO how much more would I have to save ? Measurement (Set 2) 1) The temperature outside is 25°C. If it drops by 13°C overnight what would the lowest reading on the thermometer be? 2) Jim sleeps late one morning and gets out of bed at 8.30am. If it takes him 1/2 hour to get dressed and leave the house, 15 minutes to get to the bus station, and 24 minutes to get to school on the bus - what time does he arrive ? 3) Fill in the missing times on the table below: 12hr clock 24hr clock 8.15 am ............... 12.30 pm ............... ............... 9.45 hrs ............... 16.00 hrs 8.20 pm ............... 11.15 pm ............... 4mins past midnight .... 2 o' clock in the morning 4) If the temperature outside is 5°C and it drops by 12°C due to a severe frost - what would the lowest temperature be ? 5) What is the boiling point of pure water ? MULTIPLICATION OF FRACTIONS (1) What is 3/4 of 128 (remember "of" in maths means multiply) (2) 1/5 x 1/7 (3) 2/3 x 3/5 (4) 6/7 x 2/9 x 14/21 (5) 5/8 x 4/5 (6) 1/7 x 3/9 x 3/4 (7) 14/15 x 5/7 (8) 7/8 x 4/5 x 10/21 (9) 1/2 x 1/4 x 1/5 (10) 2/4 x 4/5 x 5/6 (11) 3/4 of 120 is the same as 1/5 of 450 (True or False) ? (12) If you have £75 to divide among 4 people what fraction would each person get and how much would they each have ? (13) What is 25 minutes as a fraction of one hour (14) It is ½ past ten now, what time will it be in 1/3 of an hours time ? (15) What is 1/4 of a week (answer in hours) (16) 1/4 of a pound of tea costs £1.15 what does a full pound cost ? (17) what is 1/3 of £5.13 ? (18) What is left if you spend 1/4 of £5 today and 2/5 of the remainder tomorrow?