User:Mathsfolk

Numberacy : Section 1
1. A bag contains counters which are red or yellow or blue.

The table shows each of the probabilities that a counter taken at random from the bag will be red or green or blue

A counter is to be taken at random from the bag.

(a) Work out the probability that the counter will be yellow.

The bag contains 500 counters.

(b) Work out the number of red counters in the bag.

2. Bob buys 2 cups and 6 plates for £10.00 

Peter buys 4 cups and 10 plates for £18.00

Work out the cost of one cup.

5. Work out the coordinates of the midpoint of the line joining the points (4,6) and (6,8).

'''Use ruler and compasses to construct the bisector of angle PQR. You must show all your construction lines.'''

6. (a) Write 145 as a product of its prime factors.

(b) Find the HCF of 65 and 56.

'''7. Work out the total surface area of the shape drawn below. State the units with your answer.'''

Section 2
1. In one month the number of magazines sold and the number of books sold were in the ratio of 11:7

The total number of magazines and books sold in the month was 414

Calculate the number of books sold in the month.

2. Below are the first 5 terms of an arithmetic sequence.

3, 8 , 13 , 18 , 23 , ...

In terms of n, find an expression for the nth term of the sequence.

'''3. Doris inherited £5000. She invested this sum for four years in a special saving account that paid 6% per annual compound interest.'''

Calculate the total interest Doris earned after four years.

4. Ron, Vishna and Hendry shared 44 marbles in the ratio 2:4:5

Calculate the amount of marbles each of them will get.

Ron gets   Vishna gets'''

Henry gets

5. A teacher says to his class, 'For any whole number, n, the value of 6n-1 always comes to a prime number' 

The teacher is wrong

Find one example which shows that the teacher is wrong.

6. Here is part of an article that appeared ina newspaper.

Hip hop chick lays Heavier Eggs

A local farmer has a chicken which, he says lays eggs that are 2% heavier when it listen to Hip Hop music

This increase of 2% represents 0.92g of egg.

Work out the weight of an egg laid by the chicken when it listens to Hip Hop music.

'''7. A gold coin has a volume of 2cm³. The density of gold is 19.3 grams per cm³ '''

Calculate the mass of the gold coin.

Section 3
1. Three students shared out £48 in the ratio 8:3:1

Lucy received the smallest amount

(a) How much did Lucy receives?

On her birthday Lucy received £52.50

She spend 7½% of this

(b) Work out how much of Lucy's birthday money is left.

Give your answer to appropriate degree of accuracy.

2. In a sale, the normal prices were reduced by 30%

Linda bought a mountain bike

The sale price of the bike was £190.

Work out the normal cost of the bike.

3. Kishan invests £600 at the beginning of 2005 ata compound interest rate of r% per annum

The value of £T, of his investment after n years, can be found using the formula

$$T=600\times(1.055)^n$$

(a) What is the value of the compound interest rate r%?

'''(b) Find the value of Kishan's investment aftr 25 years. Use your calculator.'''

'''4. Mr Carl bought a new car for £14,000. Each year the car's value depreciated by 15%'''

(a) What will be the value of the car at the end of the three year?

5. Jason wins 3360 with a lottery sratchcard.

He decides to share this money between his friend Mary and himself in the ratio of 5:7

(a) How much Mary does each receive?

Mary £

Jason £

Jason spends 20% of his share

(b) What percentage of the money does Jason now have?

6. Jack has 30 marbles in a bag

18 of the marbles are blue, 8 are Green and 4 are Red.

If she choose two marbles at random from the bag, find the probability that both will be of the same colour.

7. A factory selling washing machines increase the price of a washing machine by 21% to £632.

'''(a) Find the price of a washing machine before the increase. Give your answer correct to the nearest penny.'''

A washing machine losses 9% of its value after each year of use

If at the start of the first year a washing machine costs £632, find its value at the end of the third year.

Section 4
1. Paul buys a pair of trainers in a sale

The sale is offering 20% off all trainers.

What is the usual price of the price trainers?