“Epsilon” Maths Homework Term 0

Full name:…………………...…………………..

Class: ………………

Please complete each section by due date and submit to your class teacher.

Presentation:

1)You are going to answer questions neatly on A4 size paper or in the back of your books.

2)Write the title of the homework at the top.

3)Draw a margin on each page.

4)Write out the questions and remember to show any working out.

Schedule:

Topic / Due in
Week 1 / a)Convert Mixed Numbers and Top-heavy fractions
b)+ & - Mixed Numbers and Top-heavy fractions
Week 2 / c)Recurring decimals
d)Factorise linear expressions
Week 3 / e)Expand linear and quadratic expressions
f)Upper and lower bounds
Week 4 / g)Upper and lower bounds applied to the real world
h)Speed
Week 5 / i)Speed in the real world

1) / 3 / 1 / + / 2 / 1 / = / 13 / + / 13 / =
4 / 6 / 4 / 6
2) / 2 / 3 / + / 1 / 3 / = / + / =
10 / 5
3) / 7 / 1 / + / 1 / 1 / = / + / =
6 / 12
4) / 2 / 5 / + / 3 / 7 / = / + / =
6 / 8
5) / 3 / 3 / + / 4 / 2 / = / + / =
4 / 3


Factorise the following expressions by taking out the highest common factor

2x + 4
2( ) / 2y2 – 8y / y2 – 2y / 7c2 – 21c / 12p2y + 9py – 6py2
p2 + 7p / 2y + 10 / 5p2 + 10p
5p( ) / 3x2y2 + 9xy / 5x – 15
2x2 – 4xy / x2 + 4x
x( ) / 6x2 - 8xy / 3x – 6
3( ) / x2 + x
2x2 + 6x / 2t2 + 10tu / 3x + 12 / p2 - 5p / 6x2 + 9x
3x( )
Expand 4(2x+3) / Expand (x+1)(x+9)
Expand 7(3x-1) / Expand (x+6)(x-4)
Expand 5(4x+6) / Expand (x+4)(x-6)
Expand x(x+3) / Expand (x-4)(x-6)
Expand x(2x+9) / Expand (2x+1)(x+3)
Expand x2(x-4) / Expand (x-4)(x+4)
Expand 3x(x-5) / Expand (2x-1)(2x+1)
Expand 4x(2+5x) / Expand (x2+3)(x+4)
  1. Write down the UPPER bound of the following numbers:
  1. 42
  2. 350
  3. 92.4
  4. 39.88
  5. 382.226
  1. Write down the LOWER bound of the following numbers:
  1. 42
  2. 350
  3. 92.4
  4. 39.88
  5. 382.226
  1. If x = 6.4 correct to 1 decimal place and y = 8.3 correct to 1 decimal place:

Work out the lower bound of:

  1. x + y
  2. y – x
  3. xy
  4. y ÷ x

Work out the upper bound of:

  1. x + y
  2. y – x
  3. xy
  4. y ÷ x
  1. Scott cycles at a steady speed of 10 metres per second correct to the nearest metre per second.

1.The reading on this petrol pump shows the amount of petrol bought to the nearest 0.01 litre.

This pump shows that Mr Carr was supplied with 19.82 litres of petrol.

What is

(a)the minimum amount he could have obtained?

......

......

(1)

(b)the maximum amount he could have obtained?

......

......

(1)

2.(a)There are 14 700 (to the nearest hundred) spectators at a football match.

(i)What is the least possible number of spectators?

......

Answer ......

(1)

(ii)What is the maximum number of spectators?

......

Answer ......

(1)

(b)The ratio of adults to children visiting a park is 3:5
One day 1740 adults go to the park.

How many children go to the park on that day? ......

......

Answer ......

(2)

3.Mount Everest is 8848 m high to the nearest metre. What is its smallest possible height in kilometres?

......

......

Answer ...... km

(Total 2 marks)

speed = distance/time.

  1. Henry flies his plane at 240 mph for 3 hours. How far does he travel?
/
  1. A car travels 65 miles in 2 hours. What is its speed?
/
  1. Alvin's speedboat travels at 20 mph. How long does it take to travel 80 miles?

  1. A slug crawls across a path at a speed of 0.5cm per second. How far does it move in 1 minute?
/
  1. A ship takes 5 hours to sail 75km. What is its speed?
/
  1. Jim drives at a steady speed of 20 mph. How long does it take him to travel 150 miles?

  1. A coach leaves London at 4:00pm, and travels at 55 mph. How far has it travelled by 7:00pm?
/
  1. A plane that flies 210 km in ½ hour. What is its speed?
/
  1. How long does it take to walk 5 miles at a steady speed of 2 mph?

  1. A ferry which travels at 12 mph leaves at 12:30 and arrives at 14:00. How far does it travel in this time?
/
  1. A horse that runs 300m in 20 seconds. What is its speed?
/
  1. A boat is 6 miles from the coast and drifting at 1½ mph towards it. How long will it take to reach the coast?

  1. A plane flies at 250 mph. How far does it travel in 2.5 hours?
/
  1. A ferry crosses an estuary which is 18 miles wide in 1.5 hours. What is its speed?
/
  1. How long does it take to travel 100 miles at a steady speed of 40 mph?

speed = distance/time.

You may sometimes have to change units (for example, if you want a speed in kilometers per hour you may have to change 30 minutes into half an hour (0.5). Use this formula to answer the following questions. (don’t forget to include units)

Easy questions

  1. Mr Porter’s Ferrari goes a distance of 350 km in a time of 2 hours. What was his average speed in km/h?
  2. Mr Porter and Kirsten Dunst are walking down the road. They walk a distance of 250 metres in 30 seconds. What was their average speed in m/s?

Medium questions

  1. Ragna and Max have robbed a bank. Their getaway car drives a distance of 45 kilometres at a speed of 15 km/h. How long did their journey take?
  2. Basil and Tammie are going to a party together. They walk at a speed of 3.4 m/s for 63 seconds. How far away is the party? (in metres)

Hard questions

  1. George and frederique have got married. On their honeymoon they drive 30 km in 15 minutes. What was their average speed in km/h?
  2. Sean and Kelsey are walking to Kroger to buy some chocolate. They walk 3000 metres in 900 seconds. What was their average speed in km/h?

Very difficult questions

  1. A space ship travels 234500000 kilometres in 15 hours. What was the average speed of the space ship in m/s? What can you say about this speed?