Section A Angle Facts Grade F D
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1 Name: Teacher ssessment Section ngle Facts Grade F IN THIS SETION NONE OF THE IGRMS RE RWN URTELY. 1. (a) The diagram shows 3 angles on a straight line. Not drawn accu Work out the value of. 60º 70º º.. nswer... degrees (b) The diagram shows 3 angles meeting at point. 110º Not dra 130º º Work out the value of... nswer... degrees (c) 66º Work out the value of z. 72º zº.. nswer... degrees (Total 3 marks) St Paul s atholic School 1
2 2. Work out the size of each missing angle in the diagrams below. (a) p nswer p = degrees (b) q nswer q = degrees (c) r 36 nswer r = degrees (Total 5 marks) St Paul s atholic School 2
3 3. This triangle has two equal sides. b 70 a (a) What name is given to this tpe of triangle? nswer... (b) Find the values of a and b is a quadrilateral. nswer a =... degrees, b =... degrees (3) (Total 4 marks) a Work out the value of a nswer... degrees (Total 2 marks) St Paul s atholic School 3
4 5. The diagram shows a kite. 76 (a) (i) Write down the value of. nswer... degrees (ii) Give a reason for our answer (b) Work out the value of. nswer... degrees (c) line segment is now drawn as shown. z 76 z Work out the value of z. nswer... degrees (Total 6 marks) St Paul s atholic School 4
5 6. ngle = 100 ngle = (a) What tpe of angle is? 13 nswer... (b) What tpe of angle is? nswer... (c) Work out the size of angle... nswer... degrees (Total 3 marks) 7. is a quadrilateral a Work out the size of the eterior angle a nswer... degrees (Total 3 marks) St Paul s atholic School 5
6 8. The angles of a quadrilateral are 73, 2, 3 and (a) Write down an equation in. 3 2 (b) Use our equation to find the largest angle in the quadrilateral. nswer... degrees (3)(Total 5 marks) 9. The diagram shows an isosceles triangle. ngle = 112º 112 z (a) alculate the size of angle. nswer =...degrees (b) Write down the size of angle z. nswer z =...degrees (Total 3 marks) St Paul s atholic School 6
7 10. The triangle has angles, 2 and 84 as shown. Find the value of. 84 Not drawn accuratel 2 nswer... degrees (Total 3 marks) 11. (a) Simplif nswer... (b) The diagram shows a triangle inside a rectangle (i) Work out the value of nswer...degrees (ii) Work out the value of nswer...degrees (3) (Total 6 marks) St Paul s atholic School 7
8 12. (a) is an isosceles triangle with = not drawn accuratel 124 alculate the size of the angle marked. nswer... degrees (3) (b) PQR is an triangle. Q a P b R Eplain wh = a + b (Total 5 marks) St Paul s atholic School 8
9 13. PQ and RS are straight lines. R Q P S Work out the value of nswer =... degrees (Total 3 marks) 14. The diagram shows a triangle. is a point on such that = = ngle = Work out the size of angle.you must show our working nswer... degrees (Total 3 marks) St Paul s atholic School 9
10 15. is a triangle. is a point on such that = (a) Work out the value of nswer... degrees (b) Work out the value of nswer... degrees (c) oes =? Give a reason for our answer (Total 5 marks) St Paul s atholic School 10
11 16. Three triangles, P,Q and R are cut out of paper. The angles are measured. Not drawn accuratel P Q R The corners are torn off each triangle and mied up as shown Identif the three sets of angles that go with each triangle. Triangle P has angles... and... and... Triangle Q has angles... and... and... Triangle R has angles... and... and... (Total 3 marks) Success: Target: St Paul s atholic School 11
12 Teacher ssessment Section ngles and Parallel Lines Grade 1. The words in this list are used to describe angles. alternate corresponding eterior interior opposite c e d hoose a word from the list to describe each of these pairs of angles. (i) (ii) c and d are... angles d and e are... angles (Total 2 marks) 2. The lines and are parallel. 20 (a) State the value of.give a reason for our answer. nswer =...degrees Reason... (b) Write down the value of. nswer =...degrees (Total 3 marks) St Paul s atholic School 12
13 3. Work out the size of angles a and b. a 20 b 40 nswer a =...degrees, b =...degrees (Total 3 marks) 4. The lines and are parallel Work out the value of. Give a reason for our answer nswer... degrees Reason... (Total 2 marks) St Paul s atholic School 13
14 5. In the diagram, is parallel to (a) State the value of.give a reason for our answer. nswer... degrees Reason.... (b) Find the value of... nswer... degrees (Total 4 marks) 6. In the diagram is parallel to. Work out the value of. 25º 30º nswer =...degrees (Total 3 marks) St Paul s atholic School 14
15 7. is a rhombus. ngle = (a) Find the size of angle. nswer... degrees (b) Find the size of angle. nswer... degrees (Total 3 marks) 8. The diagram shows a heagon. The heagon has two lines of smmetr as shown. 50 Not drawn accuratel (i) Work out the value of.... nswer... degrees (ii) Work out the value of.... nswer... degrees (Total 3 marks) St Paul s atholic School 15
16 The diagram shows a trapezium. alculate the value of nswer... degrees (Total 2 marks) 10. The lines and are parallel. r p 40 q 50 (a) Write down the value of p. Give a reason for our answer. nswer p =... degrees Reason... (b) Write down the value of q. Give a reason for our answer. nswer q=... degrees Reason... (c) Work ou the value of r... nswer r =... degrees (Total 6 marks) St Paul s atholic School 16
17 11. a b c 70º 60º Work out the values of a, b and c nswer a =... degrees b =... degrees c =... degrees (Total 3 marks) 12. Write down the values of a and b. bº Not drawn ac 50º 110º aº nswer a =... degrees, b =... degrees (Total 2 marks) 13. Write down the values of a and b b a Success: nswer a =... degrees, b =... degrees (Total 2 marks) Target: St Paul s atholic School 17
18 Teacher ssessment Section ngles in Polgons Grade 1. The diagram shows a regular octagon. alculate the size of the eterior angle of the regular octagon, marked on the diagram nswer... (Total 2 marks) 2. (a) is a quadrilateral. The side is etended to E E Work out the value of nswer... degrees (3) St Paul s atholic School 18
19 (b) alculate the size of the eterior angle of a regular heagon (a) E is a regular pentagon. nswer... degrees (Total 5 marks) Work out the value of the interior angle. E nswer =...degrees (b) E is a regular pentagon. E Work out the value of. nswer =...degrees (Total 4 marks) St Paul s atholic School 19
20 4. The diagram shows a regular decagon. (a) Work out the angle at the centre of the decagon, marked on the diagram... nswer... degrees (b) Work out the size of the interior angle, marked on the diagram (a) regular polgon has 9 sides. alculate the size of an interior angle. nswer... degrees (Total 4 marks) nswer...degrees (b) Eplain wh there is no regular polgon which has an interior angle of 155. (3) (Total 5 marks) St Paul s atholic School 20
21 6. The diagram shows part of a regular polgon. Each interior angle is alculate the number of sides of the polgon nswer... (Total 3 marks) 7. The diagram shows part of a regular polgon. Each interior angle is (i) alculate the size of the eterior angle of the polgon nswer... degrees (ii) alculate the number of sides of the polgon Success: nswer... (Total 4 marks) Target: St Paul s atholic School 21
22 Teacher ssessment Section Geometric Proofs Grade / 1. Show that + + z = 180 z E (Total 2 marks) 2. is a triangle. z Prove that the eterior angle at,, is equal to the sum of the opposite interior angles, z and (Total 2 marks) St Paul s atholic School 22
23 3. The diagram shows a parallelogram. ngle = 20 ngle = (a) Show that angle is a right angle. (b) The area of the triangle is 8.4 cm 2. Work out the area of the parallelogram. nswer... cm 2 (Total 4 marks) Success: Target: St Paul s atholic School 23
Section A Types of Angles Grade G / F
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