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Autumn Term Spring Term Summer Term

Autumn Term Spring Term Summer Term. Autumn Term. Spring Term. Summer Term. Simplify Solve the simultaneous equations Calculate the area of the circle. Give your answer in terms of. 8 cm. Write as a number in standard form.

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Autumn Term Spring Term Summer Term

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  1. Autumn Term Spring Term Summer Term

  2. Autumn Term

  3. Spring Term

  4. Summer Term

  5. Simplify Solve the simultaneous equations Calculate the area of the circle. Give your answer in terms of . 8 cm

  6. Write as a number in standard form. Describe fully the single transformation which maps the blue shape onto the red shape. Copy the Venn diagram and shade the region that represents .

  7. Draw an 8 cm line in your exercise book. Use compasses and a ruler to construct a perpendicular bisector. Factorise . Calculate the length of the side labelled . Give your answer correct to 2 decimal places. cm 5 cm 8 cm

  8. a. Sketch the graphs of and on the same pair of axes. b. Use your graphs to solve the simultaneous equations and . The probability that a biased dice will land on a five is 0.3. Megan is going to roll the dice 400 times. Work out an estimate for the number of times the dice will land on a five. Work out the volume of the triangular prism.

  9. Find the equation of the line with a gradient 2 that passes through the coordinate (3, 4). A bag of potatoes weighs 7 kg, correct to the nearest kilogram. What is the least possible weight of the bag of apples? In a sale, normal prices are reduced by 20%. Andrew bought a saddle for his horse in the sale. The sale price of the saddle was £220. Calculate the normal price of the saddle.

  10. Are the graphs and parallel? You must explain your answer. Calculate the size of the side labelled . Give your answer correct to 3 significant figures. Toby invested £4500 for 2 years in a savings account. He was paid 4% per annum compound interest. How much did Toby have in his savings account after 2 years? cm 36 4 cm

  11. Calculate the mode from this frequency table. BE is parallel to CD. ABC and AED are straight lines. AB = 4 cm, BC = 6 cm, BE = 5 cm, AE = 4.8 cm. Calculate the length of CD. Solve the inequality .

  12. What are the next two terms in the sequence: 1, 3, 6, 10, 15, …, … Write the exact value of cos . There are 5 red pens, 3 blue pens and 2 green pens in a box. Gary takes at random a pen from the box and gives the pen to his friend. Gary then takes at random another pen from the box. Work out the probability that both pens are the same colour.

  13. Calculate the angle labelled in the diagram. Solve . Stuart drives 180 km in 2 hours 15 minutes. Work out Stuart’s average speed.

  14. Name the part of the circle shown in red on the diagram. The weight of a piece of wire ( grams) is directly proportional to its length ( cm). is given by the formula: . Find the length of a wire weighing 75 grams. Jack sows 300 wildflower seeds. The probability of a seed flowering is 0.7. Work out an estimate for the number of these seeds that will flower.

  15. Calculate the value of , giving your answer in standard form. Factorise and solve . The two triangles ABC and PQR are mathematically similar. Calculate the length of PR.

  16. What type of correlation does the scatter graph show? What could the two variables be? Factorise . and Write as a column vector .

  17. Accurately construct the triangle below in your exercise book. Make u the subject of the formula . Jacob answered 80% of the questions in a test correctly. He answered 32 of the questions correctly. Work out the total number of questions in the test. 6 cm

  18. a. Sketch the graphs of and on the same pair of axes. b. Use your graphs to solve the simultaneous equations and . Calculate the circumference of the circle. Give your answer correct to 3 significant figures. There are now 29 girls in a class that originally had 25 girls in it. What is the percentage increase in the number of girls in the class? 3 cm

  19. Describe fully the single transformation which maps the blue shape onto the red shape. Jamie goes on holiday to Florida. The exchange rate is £1 = 1.70 dollars. He changes £900 into dollars. How many dollars should he get? Solve the simultaneous equations

  20. Expand and simplify . Calculate the length of the side labelled x. Give your answer correct to 3 significant figures. Calculate the term of the sequence: 5, 8, 11, 14, … 11 cm cm 8 cm

  21. What are the next two terms in the sequence: 1, 4, 9, 16, …, … The diagram shows a patio in the shape of a rectangle. The patio is 3.6 m long and 3 m wide. Matthew is going to cover the patio with paving slabs. Each paving slab is a square of side 60 cm. Matthew buys 32 of the paving slabs. Does Matthew buy enough paving slabs to cover the patio? 3.6 m Solve the inequality 3 m

  22. Given that , without using a calculator, work out the value of . Describe fully the single transformation which maps the blue shape onto the red shape. Factorise .

  23. Simplify: Calculate the distance between the points (4, 5) and (3, -2). Give your answer correct to 2 decimal places. Copy the Venn diagram and shade the region that represents .

  24. Which of the shapes below are congruent to the red shape? The value of a car depreciates by 35% each year. At the end of 2007 the value of the car was £5460. Work out the value of the car at the end of 2006. A car travels for 3 hours. Its average speed is 75 km/h. Work out the total distance the car travels. B D A C

  25. Find the equation of the line which passes through the points (3, 5) and (9, 9). Make the subject of the formula . The diagram shows a triangular prism. The cross-section of the prism is a trapezium. The lengths of the parallel sides of the trapezium are 8 cm and 6 cm. The distance between the parallel sides of the trapezium is 5 cm. The length of the prism is 20 cm. Work out the volume of the prism.

  26. Calculate the value of , giving your answer in standard form. Calculate the highest common factor of 72 and 54. Solve .

  27. Name the part of the circle shown in red on the diagram. Wendy goes to a fun fair. She has one go at Hoopla. She has one go on the Coconut shy. The probability that she wins at Hoopla is 0.4. The probability that she wins on the Coconut shy is 0.3. Draw a probability tree diagram. Calculate the sum of all the angles in a pentagon.

  28. Draw an angle of in your exercise book. Use compasses and a ruler to bisect it. Factorise and solve . Jane bought a coat in a 15% off sale. The original price of the coat was £80. What did Jane pay for it?

  29. Calculate the size of an exterior angle of a regular pentagon. Solve . Owen walked to his Grandma’s house from his own at a speed of 3 mph. It took him 40 minutes. How far away does his Grandma live?

  30. Calculate the median from this frequency table. Describe fully the single transformation which maps the blue shape onto the red shape. is inversely proportional to . is given by the formula: . Find the value of when = 50

  31. Are the graphs and perpendicular? You must explain your answer. Roy visited his aunt and then returned home. The distance-time graph shows information about Royʼs journey. Work out the total distance travelled by Roy. Solve .

  32. What type of correlation does the scatter graph show? What could the two variables be? In the diagram, AB: AC = 1: 3. Calculate the length of CD. • Expand and simplify:

  33. Factorise . Calculate the length of the line segment where is the point (3, -2) and is the point (-7, 4). Give your answer correct to 3 significant figures. Calculate the first five terms of the sequence .

  34. Accurately construct the triangle below in your exercise book. Factorise and solve . The price of Joe’s train ticket increased by 6%. It originally cost £45. What is the new price? 4 cm 7 cm

  35. A circle has an area of 120cm² to the nearest 10cm². Write down the limits of accuracy, in terms of , using inequality notation. • Calculate the size of the angle labelled . Give your answer correct to 1 decimal place. • Calculate the term of the sequence: • 9, 4, -1, -6, … 2.5 cm 4 cm

  36. Copy and complete the table of values, then sketch the graph of . Tania went to Italy. She changed £325 into euros (€). The exchange rate was £1 = €1.68. Change £325 into euros (€). Clean Ltd manufacture components for washing machines. The probability that a component. will be made within a tolerance of one tenth of a millimetre is 0.995. Clean Ltd manufacture 10 000 components each day. Work out an estimate for the number of components that will not be within the tolerance of one tenth of a millimetre each day.

  37. Describe fully the single transformation which maps the blue shape onto the red shape. is an integer such that . List all the possible values of . Calculate the lowest common multiple of 18 and 24.

  38. Write as an ordinary number. Write the exact value of tan . The diagram shows a cuboid of dimensions 10cm × 8cm × 5cm. Work out the total surface area of the cuboid. State the units with your answer.

  39. Calculate the length of the side labelled . Give your answer correct to 3 significant figures. Solve . 223 m 126 m A shop sells CDs and DVDs. In one week the number of CDs sold and the number of DVDs sold were in the ratio 3:5. The total number of CDs and DVDs sold in the week was 728. Work out the number of CDs sold. m

  40. Calculate the sum of all the angles of an octagon. • and . Work out the value of . • Show that .

  41. What does it mean for two shapes to be mathematically similar? and Write as a column vector . Work out .

  42. Given that , without using a calculator, work out the value of . Factorise . Calculate the size of an interior angle of a regular heptagon.

  43. Expand and simplify . A piece of elastic 48 cm long is stretched to 60 cm. What percentage of the original length is the increase? Use a ruler and pair of compasses to accurately construct an equilateral triangle of side 7 cm.

  44. Calculate the distance between the coordinates (0, 6) and (4, -5). Give your answer correct to 2 decimal places. Make the subject of the formula . Calculate the area of the circle with a radius of 4.5 cm. Give your answer correct to 3 significant figures.

  45. Name the part of the circle shown in red on the diagram. Factorise and solve . Amy, Beth and Colin share 36 sweets in the ratio 2 : 3 : 4. Work out the number of sweets that each of them receives.

  46. Describe fully the single transformation which maps the blue shape onto the red shape. • Calculate . • Rearrange the formula to make the subject:

  47. What are the next two terms in the sequence: 1, 8, 27, 64, …, … Copy the Venn diagram and shade the region that represents . Using a table of values, or otherwise, sketch the graph of in your exercise book.

  48. Calculate the range from this frequency table. A cylinder has a height of 24 cm and a radius of 4 cm. Work out the volume of the cylinder. Give your answer correct to 3 significant figures. Solve the inequality .

  49. Simplify: Solve the simultaneous equations The mass of 5 m3 of copper is 44 800 kg. Work out the density of copper.

  50. Calculate the length of the size labelled . Give your answer correct to 2 decimal places. Mario invests £2000 for 3 years at 5% per annum compound interest. Calculate the value of the investment at the end of 3 years. Solve . cm 4 cm 36

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