Maths home based learning

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Maths home based learning Name: Maths Group: Date Given: HAND IN DATE: No excuses as a copy is available on the school s website http://ripleyacademy.org/index.

1 Maths home based learning Name: Maths Group: Date Given: HAND IN DATE: No excuses as a copy is available on the school s website Mark: % Hey guess what! Expected starting salary for a job that requires a maths based qualification is above 23000! Page 1

2 Q1. (a) (i) Work out the size of the angle marked p.... (ii) Give a reason for your answer.... (2) (b) Work out the size of the angle marked q.... (Total 3 marks) Page 2

3 Q2. (a) Here is a right-angled triangle. Mark the right angle with a letter R. (b) Here is a trapezium. Mark an acute angle with a letter A. (c) On the grid, draw a kite. (Total 3 marks) Page 3

4 Q3. Work out the size of the angle a.... (Total 2 marks) Q4. AB is a straight line. (a) This diagram is wrong. Explain why.... Page 4

5 (b) Work out the size of the angle marked x. Q5.... (2) (Total 3 marks) (a) (i) Write down the value of x. x =... (ii) Give a reason for your answer (2) Page 5

6 This diagram is wrong. (b) Explain why.... Q6.... (Total 3 marks) In the diagram, AB = AC, Angle ABC = 52. (a) Work out the size of the angle marked x.... (2) (b) Give a reason for your answer.... (Total 3 marks) Page 6

7 Q7. (i) What type of angle is this?... (ii) Measure the size of the angle.... (Total 2 marks) Q8. (a) Write down the size of the angle marked x.... (b) Give a reason for your answer.... (Total 2 marks) Page 7

8 Q9. In the diagram, ABC is a triangle. ACD is a straight line. Angle CAB = 50. Angle ABC = 60. Work out the size of the angle marked x. Q10. The interior angle of a regular polygon is (Total 2 marks) (i) Write down the size of an exterior angle of the polygon.... (ii) Work out the number of sides of the polygon.... (Total 3 marks) Page 8

Q11. Here is a coordinate grid. (a) Write down the coordinates of the point P. (...,...) R is the midpoint of PQ. (b) Write down the coordinates of the point R. (...,...) (2) The point B is on the x-axis.

9 Q11. Here is a coordinate grid. (a) Write down the coordinates of the point P. (...,...) R is the midpoint of PQ. (b) Write down the coordinates of the point R. (...,...) (2) The point B is on the x-axis. The line BP is parallel to the y-axis. (c) Write down the coordinates of the point B. (...,...) (2) (Total 5 marks) Page 9

10 Q12. (a) (i) Write down the coordinates of the point A. (...,...) (ii) Write down the coordinates of the point B. (...,...) (2) (b) (i) On the grid, plot the point (3, 2). Label this point P. (ii) On the grid, plot the point ( 4, 3). Label this point Q. (2) (Total 4 marks) Page 10

11 Q13. A is the point (2, 0). B is the point (8, 12). Work out the coordinates of the midpoint of AB. (...,... ) (Total 2 marks) Page 11

12 M1. Answer Mark Additional Guidance (a) 56 Reason 2 B1 56 cao B1 sum of angles on a straight line is 180 (b) 22 1 B1 cao Total for Question: 3 marks M2. Answer Mark Additional Guidance (a) right angle marked 1 B1 for the right angle marked with square or R (b) acute angle marked 1 B1 for either (or both) of the acute angles marked (c) kite drawn 1 B1 for a kite drawn (accept square or rhombus or arrowhead) Total for Question: 3 marks M3. Working Answer Mark Additional Guidance Page 12

13 360 ( ) 42 2 M1 360 ( ) or equivalent) or for (a = 360) oe seen A1 cao [Note: The subtraction MUST be from 360] Total for Question: 2 marks M4. Working Answer Mark Additional Guidance (a) angles on a line sum to B1 for angles on a line sum to 180, 180, = 170 etc (b) 360 ( ) 60 2 M1 for 360 ( ) A1 cao Total for Question: 3 marks M5. Answer Mark Additional Guidance (a)(i) 30 2 B1 cao (ii) B1 (dep) opposite (angles), or demonstrates angles sum to 360 ( ); states angles on a straight line twice. (b)(i) Reason 1 B1 reason Eg don t sum to 360, adds to give 385 (ie not 360 ) Page 13

14 Total for Question: 3 marks M6. Working Answer Mark Additional Guidance (a) = 76 2 M1 for A1 for 76 cao (b) reason 1 B1 for isosceles or angles in a triangle sum to 180 Total for Question: 3 marks M7. Answer Mark Additional Guidance (i) Acute 1 B1 cao (ii) 53 1 B1 for an angle Total for Question: 2 marks Page 14

15 M8. Answer Mark Additional Guidance (a) 50 1 B1 for 50 cao (b) Alternate (angles) 1 B1 for alternate (angles) or co-interior (angles) or allied (angles) or any complete reason. (accept Z angles) Total for Question: 3 marks M9. Working Answer Mark Additional Guidance = M1 for or for 180 k, where k = 180 (60+50) A1 for 110 cao Total for Question: 2 marks M10. Working Answer Mark Additional Guidance (i) B1 cao (ii) Exterior angles sum to 360 So = 18 2 M1 for A1 cao Page 15

16 Total for Question: 3 marks M11. Working Answer Mark Additional Guidance (a) (6, 7) 1 B1 cao (b) (3, 5.5) 2 M1 Clear attempt to find the mean of either x or y coordinates of P and Q A1 cao OR M1 identifies the midpoint of PQ on the diagram A1 cao SC B1 for exactly one coordinate correct (c) (6, 0) 2 M1 for B correctly placed on the x axis A1 for (6, 0) Total for Question: 5 marks M12. Answer Mark Additional Guidance (a)(i) (1, 4) 2 B1 for (1, 4) cao Page 16

17 (ii) (4, 0) B1 for (4, 0) cao (b)(i) P marked at (3, 2) 2 B1 for P marked at (3, 2) (ii) Q marked at ( 4, 3) B1 for Q marked at ( 4,3) Total for Question: 4 marks M13. Answer Mark Additional Guidance (5, 6) 2 B2 for (5, 6) oe B1 for either (a, 6) or (5, b) Total for Question: 2 marks Page 17

lists at least 2 factors from 1, 2, 4, 5, 8, 10, 20, 40 factors/multiples P1 Continues process eg. gives a set of numbers whose sum is greater

1 6.66 B1 cao 2 0.4375 B1 cao 3 27 or 64 B1 cao 4 7.3225 M1 for 5.5225 or 1.8 5 ⅔ B1 oe 6 eg. 1, 2, 18 P1 Starts process eg. Lists at least 2 multiples from 9,18,27,36,45 or lists at least 2 factors from