Year 9 Assignment 10 Levels 6 – 8 Name ___________________________________ Teacher____________________________________ Question Topic Level 6 1 Perimeter 2 Solve 3 Solve 4 Missing lengths 5 Angles 6 Tables Level 7 1 Simultaneous equ 2 Solve 3 Sequences 4 Area 5 Mean Level 8 1 Probability 2 Probability 3 Angles 4 Lengths 5 Arcs Total Max score Score achieved 3 2 2 2 3 4 4 3 4 3 3 3 3 3 4 3 49 Feedback Page 1 of 6 Level 6 The diagram shows a kite. The side lengths are in centimetres. Not drawn accurately (When n = 9, what is the perimeter of the kite? a ) ......................... cm (b) When the perimeter of the kite is 100cm, what is the value of n? n = ......................... 2 marks Page 2 of 6 Q2. Equation Solve this equation. 2(2n + 5) = 12 n = ................ 2 marks Q3. Finding y Solve this equation. 3y + 14 = 5y + 1 y = ......................... 2 marks Page 3 of 6 Q4. Missing lengths Look at the rectangle. Not drawn accurately The total area of the rectangle is 40cm2 Work out lengths x and y x = ....................... cm y = ....................... cm 2 marks Q5. Angles again The diagram shows a rectangle. Page 4 of 6 Work out the size of angle a You must show your working. a = .......................° 3 marks Q6. Reading On World Book Day, each pupil in Year 7 chose one book to read. Some pupils chose a fiction book. Some chose a non-fiction book (a) The two way table shows that: Altogether, there were 142 pupils. 68 were boys. 77 pupils chose a fiction book. 36 boys chose a non-fiction book. Complete the two-way table. 2 marks Page 5 of 6 (b) What percentage of boys chose a non-fiction book? Show your working. ........................... % 2 marks Page 1 of 4 Level 7 Q1. Solve the simultaneous equations. 2x + 3y = 53 3x − y = 19 Do not use trial and improvement. You must show your working. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. x = .................................. , y = .................................. (Total 4 marks) Q2. Solve 5x − 2 = x + 16 .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. x = ............................................................................. (Total 3 marks) Q3. (a) The nth term of a sequence is Which term in the sequence is the first to have a value greater than 50? ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... Answer ...................................................................... (2) Page 2 of 4 (b) Here is a different sequence. 7 10 13 16 … Work out the nth term for this sequence. ......................................................................................................................... ......................................................................................................................... Answer ...................................................................... (2) (Total 4 marks) Q4. A circle fits inside a semicircle of diameter 10 cm as shown. Not drawn accurately Calculate the shaded area. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. Answer ................................................. cm2 (Total 3 marks) Page 3 of 4 Q5. Here is some information about 50 houses. Number of bedrooms Number of houses 1 6 2 10 3 22 4 9 5 3 Total = 50 Show that the mean number of bedrooms is less than 3. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .............................................................................................................................. .... (Total 3 marks) Page 4 of 4 Level 8 Q1. The probability of a biased coin landing on heads is The coin is tossed twice. Complete the tree diagram. (Total 3 marks) Q2. A bag contains 8 balls. 5 are black and 3 are white. Page 1 of 5 A ball is taken out of the bag at random and not replaced. Another ball is taken out of the bag at random. What is the probability that both of the balls are the same colour? .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. Answer ............................................ (Total 3 marks) Q3. Work out the size of angle P. ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. Answer ........................................................ degrees (Total 3 marks) Page 2 of 5 Q4. Triangle ABC has a right angle at B Angle BAC = 38° AB = 7.21 cm Not drawn accurately Calculate the length of BC Give your answer to an appropriate degree of accuracy. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. Answer ................................................................. cm (Total 4 marks) Page 3 of 5 Q5. The diagram shows an arc AB of a circle, centre O. Triangle OAB is equilateral. Work out the length of arc AB. ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. Answer ................................................................ cm (Total 3 marks) Page 4 of 5
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