User:Test314

user:work_clubs_1

user:a level clubs 1

Test : Numeracy
2 Hours allowed time

(1) Round off the numbers 16546 to the nearest number of tens, hundreds and thousands

(2) Find the sum, difference , product and quotient of numbers 8 and 2

(3) Work out the value of : 3 - 6 + 4 - 5 + 4 - 3 - 2 + 8

(4) Work out the value of : (4-1) ÷ 3 × 4 + 2 - 1

(5) Work out the value of : - 10 - 2×(-2) 

(6) Work out the value of : 15 ÷ (2+3) - 9 × 3 + 7(5 ÷ 5) - 1 

(7) Write down the next two terms of the following sequence

(a) 4, 8 , 12 , ___ , ____

(b) 1, 4 , 9 , ___ , ____

(c) 1, 8 , 27 , ___ , ____

(d) 1, 2 , 4 , 8 , ___ , ____

(8) Find the nth of the following sequence

(a) ''1, 3 , 5 , ... nth = ______________''

(b) ''3, 7 , 11 , ... nth = ______________''

(8) Find the value of the following :

(a) 3³

(b) (-3)³

(c) √9

(d) √(9×16×25)

(c) (-2)² + (-3)³

(9) Write down the factor of the following numbers :

(a) 56

(b) 24

(10) Write down 5 prime numbers greater than 7

Find the prime factors of the following numbers :

(a) 54

(b) 63

(11) Find the LCM of 4, 10 and 12

(12) Find the HCF of 42, 98 and 112.

(13) Give an example of mixed, proper and improper fractions 

(14) Find the equivalent fraction of 4/5

(15) Reduce 21/35 to its lowest terms

(16) Arrange the fractions 5/6, 8/9 , 7/8 and 11/12 in order of size beginning with the smallest.

(17) Add, subtract , mulitply and divide this fraction 3/5 and 4/7 :

(18) Change fraction 9/5 into a mixed fraction

(19) Find the value of 2/3 of 27

(20) ''A girl spends 3/4 of her pocket money and has 90p left. How much did she have to start with?''

(21) Find the value of √(9/16)

(22) Change 12/1000 into decimal number

(23) Add, subtract, multiply and divide the numbers 1.2 and 0.06

(24) 65.564 × 10³

(25) 65.564 × 10^(-3)

(26) Round off the number 1.0546 (4 s.f) and (4 d.p)

(27)' 'Find the upper boundary and lower boundary of number 4.5''

(28) Estimate the following :

(a) 33 × 19

(b) 41 ÷ 19

(29) Change the following decimal numbers into its fraction form :

(a) 0.25

(b) 0.2

(c) 0.75

(d) 0.6

(30) Change the following recurring decimal numbers into its fraction form :

(a) 0.3333....

(b) 0.6666...

(c) 0.636363...

(d) 0.77777....

(31) ...., - 4 , -3 , - 2 , - 1 , 0 , 1 , 2 , 3 , 4 , ....

Choose from the above number line and state the following type of numbers

(a) Counting numbers are the numbers ____________ 

(b) Whole numbers are the numbers ____________ 

(c) Integer numbers are the numbers ____________ 

(32) True or False

(a) ''A rational number can not be represent as a fraction. _____''

(b) ''An irrational number can be represent as a fraction. ______ ''

(33)Convert the following:

(a) Convert 28.54 m into mm

(b) Convert 468 inches into feet

(c) Convert 1548 inches into yard

(d) Convert 900g into kilogram

(34) Add, subtract , multiply and divde the numbers 4cm and 4m

(35) Simplify the ratio 72 : 84 to its simplest form

(36) Simplify the ratio 12cm : 60m to its simplest form

(37) Divide £600 in the ratio 2 : 3

(38) ''A sum of money is divided into two parts in the ratio 5 : 7. If the smaller amount is £200, find the larger amount.''

(39) ''Five men building a wall take 20 days to complete it. How long it take 4 men to complete it?''

(40) If 7 pens cost 56p, find the cost of 6 pens.

(41) ''A car has a fuel consumption of 30mile/gallon. How much will be needed for a journey of 150 miles? ''

(42) Change 6% into fraction and decimal number

(43) Change 2/5 into percentage

(44) Change 0.34 into percentage

(45) What is 2.5% of £12.5

(46) ''If 2.5% = £4. What is the original value?''

(47) What percentage is 35 marks out of 55 marks?

(48) ''A ball weight 12grams and fall into water. It weight now has increased by 12%. What is the new weight of the ball?''

(49) ''A man works for a basic week of 35 hours and his weekly wage is £360. Wprk out his hourly rate of pay.''

''A girl is paid a basic rate of £4 per hour. Calculate her hourly overtime rate of pay when this is paid at :''

(a) time - and - a - quarter, 

(b) time - and - a - half, 

(c) double time, 

(50) ''A saleman is paid a weekly wage of £120. In addition he is paid a commission of 3% on the goods which he sells. During a certain week he sold goods to the value of £3000. What are his earning for the week?''

(51) ''A secretary is paid £10,000.00 per annum. What is her monthly salary?''

(52) £1500 is invested at 12% per annum

(a) Work out the interest at the end of 1 year

(b) How much interest will be earned at the end of 5 years.

(53) £960 is invested for 7 years at 5% p.a. compound interest.

(a) Calculate the amount earned after 7 years.

(b) How much interest is earned during the 7 years.

(54) ''A car depreciation in value at an annual rate of 10%. If it cost £7000 when new, calculate its value after 7 years.''

(55) ''A shopkeeper buys goods for £30 and sells them for £36. Calculate his percentage profit.''

(56) ''A lady buys a car for £4000 and sells them for £2500. Calculate her percentage loss.''

(57)''A television is offered for sale at £360. A customer is offered 5% discount for cash. How much does the customer actually pay?''

(58) ''A woman buys a wardrobe which is priced at £200 plus VAT at 17.5%. How much does she actually pay for the wardrobe?''

(59) Find the lenght of time between 2.15 a.m. and 8.30 p.m.

(60) How many minutes and second are there in 4.5 hours?

(61)''A car travels a total distance of 200 km in 4 hours. What is its average speed?''

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