Mathematics Grade 7 Paper 2 November 2019 Question Paper

Downloaded from hlayiso.com WCED EXTERNAL EXAMINATION Name: ___________________________ Grade: 7 ____ Mathematics Paper 2 Time: 2 hours 20 November 2019 Total: ______/80 Examiner: P. Swanepoel, et al Moderator: R. Alves Instructions: 1. Strictly NO calculators may be used. 2. Read through your questions carefully. 3. Write clearly and neatly with a sharp pencil. 4. Once done, go through your paper to check all your answers again. Section A: 2D shapes, Triangles and Angles [39] 1) Study the shapes below and answer the questions that follow: i) ii) 1.1) Identify the two quadrilaterals. i) _____________________________ ii) ________________________ (1) 1.2) Give one similarity between the two quadrilaterals. __________________________________________________________ (1) 1.3) Give one difference between the two quadrilaterals. __________________________________________________________ __________________________________________________________ (1) 2) Study the triangles and answer the questions that follow: b i ii iii a 42° c 65° 2.1) Identify the following triangles and give a reason for your answer: i: _________________ Reason: _________________________________________ ii: _________________ Reason: _________________________________________ iii: _________________ Reason: _________________________________________ (3 × 2 = 6) 2.2) Calculate the size of angle a-d: A= _________________ C= _________________ B= _________________ D= _________________ Page 1 of 8

Downloaded from hlayiso.com (4 × 1 = 4) 2.3) Calculate the missing angles in the following diagrams: 100° c a)_________________ b) _________________ b 35° c) _________________ (3) a 80° 70° 2.4) Measure the following angles using a protractor and identify what KIND of angle each are: a) Size: _______________________ Kind of angle: ________________ b) Size: _______________________ Kind of angle: ________________ b a c) Size: _______________________ c K Kind of angle: ________________ (3 × 2 = 6) 3.1) Complete the table below: (8 x 1 = 8) Number of Number of Number of 3-D Object Name edges faces vertices ___________________ _____ _____ _____ ___________________ ___________________ _____ _____ _____ ___________________ 3.2) Which transformation took place in each of the following diagrams? a) b) c) (3) Page 2 of 8

Downloaded from hlayiso.com _____________ ________________ _______________ 3.3) Draw the reflection of shape WSPI on the diagram below. (1) (1) 1 4) These triangles are similar. Triangle DEF is a of triangle ABC. 3 4.1) Give the length of EF: ___________ (1) 4.2) Give the length of side AC: ___________ (1) 4.3) Give the size of angle B: ___________ (1) 4.4) Name the triangle according to the lengths of its sides: ______________ (1) 4.5) Name the triangle according to the size of its angles. _____________________ (1) Section B : Perimeter, Area, Surface Area and Volume/capacity [25] 1) The shape below shows the border of a farmer’s property. Answer the questions that follow: (Show all calculations.) 100m 72˚ 72m 𝑥 𝜒 77m Page 3 of 8

Downloaded from hlayiso.com 1.1) If the perimeter of this property is 325 m, Find the length of the side “x” _____________________________________________________________________ _____________________________________________________________________ (2) 1.2) The owner of this property wants to put a fence around it. What would the owner pay if the cost of the fencing is R345/m? _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ (3) 2) Calculate the total area of the following shape. (Show the formula for each calculation): 6cm 8cm 16cm __________________________________________________________ __________________________________________________________ _______________________________________________________________ __________________________________________________________ __________________________________________________________ _______________________________________________________________ _______________________________________________________________ Page 4 of 8

Downloaded from hlayiso.com _____________________________________________________ _____________________________________________________ (5) 3) Calculate the total surface area of the following object: (Show all calculations.) _____ ______________________________________________________________________ ______________________________________________________________________ ______________________________________________________________________ ______________________________________________________________________ ______________________________________________________________________ ______________________________________________________________________ ________________________________________________________________ (4) 4) Study the cube given below and answer the questions that follow: Side measurements = 40mm 4.1) Calculate the volume of this cube : ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ (3) 4.2) How many litres of water can this object hold? __________ litres. (1) 4.3) In your own words, explain the difference between volume and capacity. Volume is _______________________________________________________________ _______________________________________________________________ Page 5 of 8

Downloaded from hlayiso.com Capacity is _______________________________________________________________ ________________________________________________________________ (2) 5) Below is a diagram of Peter’s garden with a swimming pool in the middle that that measures 8m × 5m. The shaded part is where he wants to plant grass around the pool. 18m 5 11 1 10m 10m 5.1) Calculate the area of the shaded part. _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ (3) 5.2) If grass costs R30/m², how much will Peter have to pay for it? _________________________________________________________________ _________________________________________________________________ (2) Section C - Data Handling [16] 1.1) Underline the correct terms to describe the graph below. (2 × 1 = 2) A) Linear / non-linear B) Increasing / decreasing / constant Page 6 of 8

Downloaded from hlayiso.com 1.2) Draw a line graph of the rainfall in Cape Town over a certain year. Use the rubric to assist assist assist you. _____________________________________ Element Marks Marks available awarded Graph title (1) Correct independent variable and units (1) Correct dependent variable and units (1) Correct use of line graph style (1) Correct data points plotted (1) Total: 5 Page 7 of 8

Downloaded from hlayiso.com 2) Study the graph below and answer the questions that follow: DAILY TUCKSHOP SALES Foundation Phase Senior Phase 70 60 50 40 30 20 10 0 Nik Naks Spookies Pizza Lollypops 2.1) Which item is more popular with the Foundation Phase than with the Senior Phase? _____________________________________________________________________ (1) 2.2) How many more lollypops do the learners in the Senior Phase buy, compared to the Foundat Foundati foundation Phase? _____________________________________________________________________ (1) 2.3) How many items did the Foundation Phase buy altogether? _____________________________________________________________________ (1) 3.1) Arrange the following marks in ascending order: 7 ; 15 ; 16 ; 6 ; 12 ; 19 ; 11 ; 3 ; 19 7 ____________________________________________________________________________ (1) 3.2) What is the median mark? _______________________________________________ (1) 3.3) What is the range of these marks? _____________________________________________________________________ (1) 3.4) Calculate the mean mark.________________________________________________ (2) 4) A coin is tossed ten times. It landed on heads four times. Calculate the relative frequency of it landing on heads. _________________________ (1) TOTAL: 80 Marks Page 8 of 8