Complete the task in your Maths Homework jotter for Monday 19th June.  Remember to write the date, an appropriate title and show all your working. Use the Mental Maths link and Maths Revision link to help you. For some of the questions, you may want to draw examples.

1. Write a definition for each of the terms below:

• Parallel lines
• Perpendicular lines
• Right angle
• Acute angle
• Edge
• Vertices (vertex)

2. For each of the shapes below, write at least 3 properties:

• Isosceles triangle
• Equilateral triangle
• Triangular prism
• Square-based pyramid

1. Use the grid method to solve the following questions:

a) 234 x 56

b) 572 x 83

1. Use the ‘up-and-down’ written method to solve the following questions:

a) 789 x 4

b) 823 x 7

1. Use short division to solve the following questions:

a) 678 ÷ 6

b) 284 ÷ 7

1.  Answer the following questions thinking carefully about the remainder:

a) Louis has £28. How many frogs can he buy if they are £6 each?

b) There are 230 children at Crickelpit Primary School and 18 members of staff. They are all going on a trip and coaches seat 48 people. How many coaches do the school need to book?

1. Order the following fractions from smallest to largest:

²/₅         ¹/₆         ³/₈         ½         ³/₄

1. Write decimal equivalent to these fractions:

a)  ¹/₅       b)  ¼       c)   ³/₅      d)      ¾        e)    ⁷/₁₀

1. Write the following percentages as fractions:

a) 25%           b) 80%           c) 10%          d)  75%         e)  23%

1. Work out the following fractions of amounts:

a)    ²/₅ of 40

b)    ¾ of 180

c)   ³/₈ of 96

1. Work out the following percentage of amounts:

a)  20% of 50

b)  70% of 60

c)  36% of 150

1. Convert the following lengths to metres:

a)  43cm       b)  2.4km     c)  99cm    d)   5mm      e)  13.5km

1. Convert the following weights to kilograms:

a)  200g       b)  6500g       c)   90g     d)  120g       e)12800g

1. Convert the following capacities to litres:

a)  330ml     b)  500ml     c)  2500ml    d)  10ml      e)  90cl

1. Calculate the following time intervals:

a) Pippa gets on a bus at 15:45. Her journey takes 50 minutes. What time does she arrive at her destination?

b) John’s train should arrive at 10:05. It is delayed by 14 minutes and his journey should take 2.5 hours. What time will he arrive at his destination?

c) Noel finishes his triathlon event at 13:32. It took him 18 minutes to complete his cycling, 16 minutes to complete his swimming, and 21 minutes to complete his running. What time did he start his race?

Please complete this in your Maths Homework jotter for Monday 5th June. Write the date, title and show all of your working. Write the answer in a sentence to show you have understood the question. You may use a calculator but show all of your working. Use the formula and example question below to help you achieve marks.

Example question: Andrew drove a distance 70 km in 2 hours. What is was his average speed?

speed = distance ÷ time so,  70km ÷ 2 = 35 km per hour

Andrew’s average speed was 35 kilometres per hour.

1. Jason rides his bicycle for 3 hours at a speed to 40 km/h. What distance does he travel?
2. The red bus takes 6 hours to cover a distance of 540 km. What is its speed of travel?
3. Sue’s dog needs 4 hours to reach her house which is 20 km away. At what speed does it travel?
4. The amusement park is 576 km away from Mel’s house. The speed limit is 90 km/h. His dad manages to drive there in 6 hours. Did Mel’s dad break the speed limit?
5. Joey ran at a speed of 18 km/h for a total of 2 hours. How much distance did he cover?
6. The Lockheed SR-71 was the fastest aircraft in the world and could fly at a maximum speed of 193 mph. Assuming it maintained this as its constant speed, how far could it travel in 5 hours?
7. The Chinese CRH38OA is top dog in the world of fast trains with a top speed of 302 mph. What is its speed if it travels 750 miles in 2.5 hours?
8. The British-made car Thrust SSC can do 380 miles in 0.5 hours. What is its speed
9. The world’s fastest bus, designed by the American Paul Slender, has a top speed of 367 mph. How much distance can it cover in 3 hours?
10. The fastest pushbike, a Varna Tempest ridden by Canadian Sam Whittington, can manage a top speed of 82 mph. How much distance can this cyclist cover in 10 hours?

Please read each question carefully so you understand fully what is being asked of you and the type of operation which should be used.

Each answer should show all workings and include a sentence answer. This task should be completed and returned to school by Friday.

Work It Out!

1. The Titanic had 4 funnels. Each funnel was 19m tall. If the tunnels were stacked on top of each other, how high would they be?

2. There were 2,223 people on board the Titanic. If 1300 of them were passengers, how many were crew?

3. There were 319 1^st class passengers and 272 2^nd class passengers. How many 3^rd class passengers were there?

4. Of the 2,223 people on board the Titanic, the Carpathia only managed to rescue 705 of them. How many people died in the sinking of the Titanic?

5. Challenge Question: The Titanic left Southampton at midday on 10^th April 1912.  She stopped at Cherbourg to collect passengers before travelling to Queenstown. She arrived at Queenstown at 11.30 am on 11^th April 1912. How long did it take the Titanic to travel to Queenstown after leaving Southampton?

Please read each question carefully so you understand fully what is being asked of you and the type of operation which should be used.

Each answer should show all workings and include a sentence answer. This task should be completed and returned to school by Friday.

Work It Out!

1. The Titanic had 4 funnels. Each funnel was 19m tall. If the tunnels were stacked on top of each other, how high would they be?

2. There were 2,223 people on board the Titanic. If 1300 of them were passengers, how many were crew?

3. The Titanic had 1300 passengers on board. There were 319 1^st class passengers and 272 2^nd class passengers. How many 3^rd class passengers were there?

4. Of the 2,223 people on board the Titanic, the Carpathia only managed to rescue 705 of them. How many people died in the sinking of the Titanic?

5. Challenge Question: The Titanic left Southampton at midday on 10^th April 1912.  She stopped at Cherbourg to collect passengers before travelling to Queenstown. She arrived at Queenstown at 11.30 am on 11^th April 1912. How long did it take the Titanic to travel to Queenstown after leaving Southampton?

Please read each question carefully so you understand fully what is being asked of you and the type of operation which should be used.

Each answer should show all workings and include a sentence answer. This task should be completed and returned to school by Thursday.

Have a Go – Word Problems

1. The Titanic had 4 funnels each 19m tall.  If the funnels were stacked on top of each other, how high would they be?
2. There were 2,223 people on board the Titanic. If 1300 of them were passengers how many were crew?
3. There were 319 1st class passengers and 272 2nd class passengers, how many 3rd class passengers were there?
4. Of the 2,223 people on board the Titanic the Carpathia only managed to rescue 705 of them.  How many people died in the sinking of the Titanic?
5. Challenge Question: The Titanic left Southampton on her Maiden voyage at midday on the 10th April 1912. She arrives at Cherbourg to pick up passengers at 6.30pm.                                        a) How long did it take her to sail to Cherbourg.                                       b) She leaves Cherbourg at 8.10pm to sail to Queenstown and arrives at 11.30am on 11th April 1912.  How long did it take her to sail from Cherbourg to Queenstown?

Please read each question carefully so you understand fully what is being asked of you and the type of operation which should be used.

Each answer should show all workings and include a sentence answer. This task should be completed and returned to school by Thursday.

Have a Go – Word Problems

1. The Titanic had 4 funnels each 19m tall.  If the funnels were stacked on top of each other, how high would they be?
2. There were 2,223 people on board the Titanic. If 1300 of them were passengers how many were crew?
3. There were 319 1st class passengers and 272 2nd class passengers, how many 3rd class passengers were there?
4. Of the 2,223 people on board the Titanic the Carpathia only managed to rescue 705 of them.  How many people died in the sinking of the Titanic?
5. Challenge Question: The Titanic left Southampton on her Maiden voyage at midday on the 10th April 1912. She arrives at Cherbourg to pick up passengers at 6.30pm.  She leaves Cherbourg at 8.10pm to sail to Queenstown. She arrives at Queenstown at 11.30am on 11th April 1912.  How long did it take her to arrive at Queenstown after leaving Southampton?