Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
It is maths grade 10 paper 2 for June exam
Typology: Study notes
1 / 10
This page cannot be seen from the preview
Don't miss anything!
QUESTION MAXIMUM MARKS
MARKS OBTAINED 1 9 2 6 3 14 4 22 5 7 6 11 7 6 8 17 9 20 10 8
This Question Paper consists of 10 Questions & DIAGRAM SHEETS & 10 pages
Percentage:
Read the following instructions carefully before answering the questions.
This question paper consists of 10 questions.
A DIAGRAM SHEET is provided at the end of the question paper. Detach the diagram sheet and hand it in with your answer book.
Clearly show ALL calculations, diagrams, graphs, etc. which you have used in determining your answers.
Answers only will NOT necessarily be awarded full marks.
If necessary, round off answers to TWO decimal places, unless stated otherwise.
Diagrams are NOT necessarily drawn to scale.
You may use an approved scientific calculator (non-programmable and non- graphical), unless otherwise stated.
Write neatly and legibly.
A publishing company spent the following amounts per month from August 20 22 to May 20 23 on printing textbooks:
Aug 20 22 Sep 20 22 Oct 20 22 Nov 20 22 Dec 20 22 R22 000 R65 000 R175 000 R350 000 R18 500 Jan 20 23 Feb 20 23 Mar 20 23 Apr 20 23 May 20 23 R130 000 R25 000 R50 000 R30 000 R16 500
1.1 Calculate the mean for this data. (2)
1.2 Draw a box and whisker plot for this data. Use the diagram provided on the DIAGRAM SHEET. (5)
1.3 How is the data distributed in the box-and-whisker plot? Explain. (2) [9]
3 .4 Show that AGBF is a trapezium. (2)
3 .5 Prove that AEBF is a kite. (7) [14]
4 .1 Given: y = sin (2 x + 20 )
4 .2 Calculate the value of^2
cos 100 tan 240 2
4 .3 Determine, without using a calculator, the value of the following:
4 .1 cos 30^2 − sin 60. tan 30 (4)
4 .2 sin 90^ tan 45 cos 0
4 .4 Without using a calculator, solve the following equation where x is acute:
2 cos3 x − 1 = 0 (3) [22]
By using a sketch and without using a calculator, determine value of the following:
sin θ tan θ
5 .2 9 tan 2 θ −5cosθ (3) [7]
6 .1 In ABC, AC =10 cm, Aˆ^ =^ 30 , Bˆ = 42 and CD ⊥AB.
6 .1.2 Calculate the length of BD. (3)
6 .2 In DEF, DE =7 cm, EF =6 cm, EG ⊥DFand GE =5 cm.
Calculate the size of DEFˆ. (5) [11]
8 .3 Show that (^) DH ⊥EF. (1)
8 .4 Calculate, with reasons, the size of DCFˆ. (4)
8 .5 If DH =5,5 cm and HF =2, 4 cm, calculate the length of GF. (3)
8 .6 Show that EG =7, 24 cm and hence calculate the area of rhombus DCFE.
You may assume that (^) GF =3 cmand F^ ˆ 1 = 67,5. (4)
Note: This question may be done without using the Grade 9 formula for the area of a rhombus. [17]
9 .1 Prove the theorem which states that the diagonals of a parallelogram bisect each other. Use the diagram provided below to assist you. (5)
9 .2 In the diagram below, ABCD is a parallelogram with diagonals intersecting at G. BECG is a kite with diagonals GE and BC intersecting at F. H is a point on DC
Prove that:
9 .2.1 BCHG is a trapezium. (4)
9 .2.2 GH bisects DC. (3)
9 .2.3 C^ ˆ^1 =Gˆ 2. (4)
In the diagram below, ABCD is a quadrilateral with AD produced its own length to F. The diagonals of ABCD intersect at E. BCFD is a parallelogram and A^ ˆ^1 = Cˆ^1 =Fˆ.
10 .1 Prove, with reasons, that ABCD is a parallelogram. (4)
10 .2 Prove, with reasons, that ABCD is a rectangle. (4) [ 8 ]
