THOMAS WHITHAM SIXTH FORM

Size: px

Start display at page:

Download "THOMAS WHITHAM SIXTH FORM"

Mervin Gibson
6 years ago
Views:

1 THOMAS WHITHAM SIXTH FORM Number Levels - 8 Year 9 T H O M A S W H I T H A M. P B W O R K S. C O M

2 Number() Basic Number work. List the first multiples of a) b) 9 c) d). Find the lowest common multiple of a) and b) and 8 c), and 9 d), and e), and. List the factors of a) b) 8 c) d) e). Write down the fist twelve prime numbers. List all the prime numbers between 0 and 0. Express the following numbers as products of their prime factors. a) b) c) 0 d) 0 e) 0 f) g) 80 h). a) Express as a product of its prime factors b) Hence find the highest common factor of 0 and 0 8. a) Express 00 as a product of its prime factors b) Hence find the highest common factor of 00 and 0 9. Find the highest common factor of a) 0 and b) 0 and 8 c) 8, and d), and 9 e), and.

$Alison spent 0 on Saturday, of which 0 went on food, 0 on a CD and the rest on clothes. What fraction of her money did she spend on (a) food (b) clothes?$

3 Number () Ratios & Fractions. Express the following in their simplest form: a f 8 b g c h 0 d i 8 e j 0 0. Express each of the following ratios in their simplest form: a) 8 : 0 b) 8 : c) : 0 d) : e) : f) : 8 g) : h) 9 : i) : 0 j) 0 : 80. Alison spent 0 on Saturday, of which 0 went on food, 0 on a CD and the rest on clothes. What fraction of her money did she spend on (a) food (b) clothes?. On a plane to Spain there are 80 men, 0 women and 0 children. What is the ratio of men to women to children?. On a journey to Alton Towers, a distance of 0 miles, miles is by motorway and the rest is by ordinary roads. What ratio of motorways to ordinary roads?. In a recent mathematics test out of questions, Ben obtained correct answers (a) What fraction of the marks did Ben score correctly? (b) Express as a ratio the number of correct answers to number of incorrect answers. The time Asif spent on his homework for SATS last week was as follows: h on science h on English h on Maths What is the ratio of the time spent on his homework for SATS? 8. The length of a model car is cm compared to the actual length of the car which is.m. What is the ratio of the model to the actual object in its simplest form? 9. On a recent holiday Colleen and Ume had their bags weighed at the airport and found that whilst Colleen s weighed kg Ume s weighed only 9.kg. Express these weights as a ratio in its simplest form.

4 Number () Addition & subtraction of fractions. Workout each of the following a) 8 e) i) m) q) b) 8 f) 9 j) 8 n) 8 r) c) 8 g) k) 9 o) s) 8 d) h) l) 8 p) 9 t). Work out the perimeters for each of the following shapes. (a) (b). On a recent shopping trip Mrs Durkin bought cabbage. What is the total weight of these items? kg of potatoes, kg of carrots and kg of. Alan worked out that on any given school day of the day was in class, 8 of the day was dinner or breaks and of the day was taken up by leisure time. What fraction of that was taken up by sleeping?

5 . Workout each of the following a) e) 9 i) m) q) b) 8 f) 8 j) n) r) c) 8 g) k) 9 o) s) 8 d) h) l) 8 p) 9 t). A piece of rope has an initial length of out the length of rope remaining. 8 m long. Sharon cuts a length of m away. Work. A piece of ribbon has a length of length of ribbon left over? metre. If two lengths of metres is cut off, what is the 8. A garden has an area of plants, what area is left for a lawn? square metres. If square metres is to be used for border

6 Number (). Work out each of the following: a) b) c) d) e) f) g) h) i) j) Multiplication & Division k) l) m) n) o) 8 p) q) r) s) t) Simplify each of the following: a) 8 f) k) p) 9 b) 9 g) l) 8 q) c) 8 h) m) r) d) i) 9 n) 9 8 e) 9 j) 8 o). Joan needs lengths of wood each with length have left from a roll of length m? m long. How much ribbon will she 8. Alison has a length of ribbon of length has she taken from removed? metres. If she cuts metres off what fraction

7 Number () Fraction of a quantity Answer questions to without the use of a calculator. Work out each of the following a) of 80 f) of b) of cm g) 9 of 8 square metres c) of 80 h) of 00 mm d) of $ i) of 800 e) of 0 miles j) of m. Harriet spends 8 of the day practicing on the piano. How many hours does Harriet practice on the piano?. In a recent Science test Graham Obtain of the marks. If the test paper was out of 9, how many marks did Graham obtain?. In the past days it has rained on no less than 8 of the days. How many days of rain have we seen in the past days?. In the construction of schools for the future of the workforce are skilled engineers. If the workforce consist of people, how many are skilled engineers.

8 . Work out each of the following a) of. d) of one billion ( billion = ) b) of.8 cm e) of 90 students c) of kg f) 9 of 80. James earns 0 each. If he is given a pay rise of 8. What is his new weekly wage packet? 8. Of some 00 Post Offices left in this country it is estimated that some could close over the next ten years. How many post office are likely to be open in ten years time? 9. In Burnley last year some 800 babies were born of which were girls. How many babies born in Burnley were boys?. Of all the mobile phones sold in the UK some are 0 sold for Children. If million mobile phones were sold last year how many were for children?

9 Number (). Work out each of the following: a) b) c) d) Decimals e). 9.8 f). 8. g).. h) What is the difference between. and 8.?. Subtract 98. from.9. What is the sum of the numbers.,.8 and.9?. Work out each of the following: a b c d e.. 0. f g.. 0. h.. 0. i j Using long multiplication work out each of the following: a... b c. 0.. d.. 0. e f Work out each of the following: a b c d e.. 0. f g h i. 0.8 j Work out

10 Number () Conversions. Express each of the following fractions as decimals: a) 0 b) 9 c) d) e) f) 0 g) 0 h) i) j) 9. Express the following decimals as fraction in their simplest form: a) 0. b) 0.08 c) 0. d) 0.8 e) 0.. Express the following decimals as percentages: a) 0. b) 0. c) 0.0 d) 0. e) 0.. Express each of the following fractions as percentages: a) b) 0 c) 0 d) e) f) 8. Express each of the following percentages as (a) fractions (b) decimals a) 0% b) % c) % d) % e) 8% f) ½%. Express each of the following recurring decimals as fractions a) 0. b) 0. c) 0. d) 0.. Which of the following is closest to a) b) c) 0% d) % e) 0.9 f) 0.?

% of 0 h) % of 0 i) % of 0 j) ½% of 0. In a school of 00 students 0% attend the sixth from.

If the cost per minute for a particular operator was 0 pence what will be the new cost?

If the price of a house on Harvey Street is 000 this year, what will it be worth in three years time?

11 Number (8) Percentages. Work out each of the following percentages: a) 0% of 80 b) 0% of c) % of 90 d) % of e) 0% of f) 0% of 0 g) % of 0 h) % of 0 i) % of 0 j) ½% of 0. In a school of 00 students 0% attend the sixth from. How many members of the sixth form are there?. The price of a telephone call is to reduce by 0%. If the cost per minute for a particular operator was 0 pence what will be the new cost?. The prices of houses are said to rise by % over the next three years. If the price of a house on Harvey Street is 000 this year, what will it be worth in three years time?. H&M are having a sale with % of everything. If a coat usually costs what will be its cost in the sale?. Comet is having a sale on its Laptops with % off Whilst Currys sale has of all laptops. Which Laptop is cheaper if the laptop usually costs in comet and in Currys?

Number (9) Dividing a quantity into a given ratio. Divide 0 in the ratio :8. Divide 00 kg in the ratio :. Divide 80 in the ratio :. Divide $0 in the ratio :. Divide 000 metres in the ratio :.

12 Number (9) Dividing a quantity into a given ratio. Divide 0 in the ratio :8. Divide 00 kg in the ratio :. Divide 80 in the ratio :. Divide $0 in the ratio :. Divide 000 metres in the ratio :. In a class of students the ratio of boys to girls is :. How many boys are there in this class?. A box contains screws of length '' '' and in the ratio of :. If the bag contains at total of screws how many are '' in length? 8. A line is divided in the ratio :. If the shortest length is cm what is the length of the longest length? 9. The price of a DVD is divided between the manufacturer and the shop keeper in the ratio :. How much does the supplier receive on a DVD costing.0?. The winning horse at Newmarket this Thursday took home a price of However this price had to be divided between the owner and the stables in the ratio :. How much did the owner receive?. A farmer uses his land for crops and cattle in the ratio :. If.8 hectares is used for cattle to graze on, how much land has the farmer in total?. Alfred and Becky share a Bingo win of 0 between them in the ratio :. How much does each receive?

Number () Percentage of a quantity. A bank account earns interest at.% per annum. What interest is earned if there is 0 in the account?

b) If a pair of jeans has a price tag of 0, what is the sale price for the jeans?. The sale price for a prosche as from summer is 0.

. Because of a recent outbreak of foot and mouth you could expect to pay and additional % for your Christmas dinner this year.

. Due to downloading, the average price of a CD is said to fall by % this year. If the price in January was on average.

13 Number () Percentage of a quantity. A bank account earns interest at.% per annum. What interest is earned if there is 0 in the account?. Next have launched their sale with % off all items in store. a) If a Dress was priced at 0, what is the new price for the dress? b) If a pair of jeans has a price tag of 0, what is the sale price for the jeans?. The sale price for a prosche as from summer is 0. However in America you can expect to pay an extra %. What is the cost of a porsche in America?. Because of a recent outbreak of foot and mouth you could expect to pay and additional % for your Christmas dinner this year. Given that the average family spent 0 on their Christmas meal last year, what is the cost likely to be this Christmas?. Due to downloading, the average price of a CD is said to fall by % this year. If the price in January was on average.9, what is the price likely to be at the end of the year?. The Interest rates at a local building society have been static at % in recent years. If John has 00 invested in this building society at the beginning of the year, how much is he likely to have in the account a) at the end of the year b) at the end of three years?. The number of students studying mathematics at A level is said to rise by.% each year. If there are 00 students currently studying mathematics at A level how many are their likely to be in years time?

14 Number() Compound Measures. A house is bought for and appreciates at % each year what will it be worth after years?. Mr Smith invests 800 into his building society which pays interest at a rate of % per annum. If he leaves his 800 in this account for years how much will he have in the account at the end of five years?. A motor car bought new for 000 depreciates in value by % each year. Find its value after two years.. Share prices are said to be on the increase at a rate of % a week. If Alison invests 00 in shares, what is its likely value after a) weeks b) weeks. Mr Ahmed borrows 000 from a bank for years at % p.a. How much will he have to repay at the end of the years?. Mrs Worthless invested 0 in an ISA which is said to increase in value at a rate of % per annum. What is the total value of this ISA at the end of three years?. At a recession house prices are on the decrease at % per year. A house is valued at 000. If this rate of decrease continues, what will be the value of the house in years time? 8. The population of a small town is decreasing at a rate of 8% each year. At the beginning of the year 000 there were occupants. How many occupants are there likely to be by the end of 0? 9. When a ball is dropped, the height of each bounce is 0% less than the height of the previous bounce. a) If the first bounce was at a height of 00cm, how high did the ball bounce on the second bounce? b) Find the height of the fifth bounce. (Be careful)

15 Number () Standard Form. Express each of the following numbers in standard form a) 000 k) b) l) c) m) d) n) e) o) 0.0 f) p) g) q) 90 h) r) 0.0 i) s) j) t) Express each of the following numbers in standard form correct to significant figures a) 00 f) b) g) 80 c) 90 h) 8000 d) i) e) j) The solar system was formed over years ago. Express this number in standard form.. The ice age pattern began over 0 million years ago. Express this number in standard from. {be careful}. The mass of the earth is given as kg. Express this quantity in standard from.. Write each of the following as a single value a). f). b).8 g) c). 9 h) d). i). e) 8. j).0

16 Number () Standard Form. Arrange these numbers in order of size with the smallest first. a) 0.000,, ,.,. b), 90000, ,.,.9 9. Work out each of the following, leaving your answer in standard form a) x f) b) 000 x g) c) x h) d) 0.00 x i) e) x j) Work out each of the following a) b) c) d) e) f) g)

Homework 1 Number Work (1)

Homework 1 Number Work (1) Homework 1 Numer Work (1) 1. Order each list of numers, smallest first :- d 5.3, 5.46, 5.03, 5.1, 5.31, 5.18 e 9.4, 10.32, 10.06, 9.78, 9.14, 10.1, 10.77 2. Complete the following and find the answers