Mathematics Grade 7 Paper 1 November 2019 Question Paper

Downloaded from hlayiso.com WCED EXTERNAL EXAMINATION Name: ___________________________ Grade: 7 ____ Mathematics Paper 1 Time: 2 hours 19 November 2019 Total: ______/75 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. Question 1: Multiple choice [8] Circle the letter of the correct answer for each of the following questions: 1.1) The product of the first three prime numbers is: a) 6 b) 25 c) 30 d) 5 1.2) The current temperature is -10°C. If increased by 12°C, it would be: a) - 22°C b) -2°C c) -12°C d) 2°C 1.3) ( 7² - √81 ) ÷ ³√125 a) 5 b) 8 c) 10 d) 4 1.4) The highest common factor of 40 and 60 is: a) 10 b) 5 c) 20 d) 12 1.5) The simplified form of the ratio 28 : 14 : 49 is: a) 2 : 7 : 6 b) 4 : 2 : 7 c) 4 : 2 : 7 d) 7 : 2 : 7 1.6) A vehicle travels at a constant speed of 110 km/h. How long will it take it to travel 660km? 660km a) 4 hours b) 7 hours c) 8 hours d) 6 hours 1.7) Use BODMAS to solve: 35 – 5 × 12 ÷ 4 a) 20 b) 90 c) 9 d) 15 1.8) Solve 6𝑥 − 4 if 𝑥 = 3 a) -14 b) -24 c) 14 d) 59 Page 1 of 6

Downloaded from hlayiso.com Question 2: Whole Numbers [20] 2.1) Calculate the following: a) x = 259 098 + 9 578 456 b) x = 109 324 – 82 369 = ___________________________ __________________________ ___________________________ ___________________________ ___________________________ (1) ___________________________ (1) c) x = 2 892 × 895 ___________________________ ____________________________ ____________________________ ____________________________ _____________________________ _____________________________ (2) 2.2 ) Exponents - Simplify the following: 3 a) √121 × 3 + 52 = b) √216 + (9 – 2)2 = ___________________________ ____________________________ ___________________________ ____________________________ ___________________________ (2) ____________________________ (2) 2.3 ) Integers - Calculate: a) – 3 + 6 = ____________ (1) b) 9 – (–8) = ___________ (1) c) 5 × (–3) = ____________ (1) d) –7 + ( –4) × (–2) = ______________________________________ ______________________________________ (2) 2.4) If Jack, Mpho and Shakir each take three tablets per day when they are sick. How many pills will they take altogether if they are sick for four days? _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ (2) Page 2 of 6

Downloaded from hlayiso.com 2.5) 26 People want to build a greenhouse for their community that costs R91 234. They all share the costs equally. How much would each pay? _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ (3) 2.6) Mount Everest is 8 848 m high and the lowest point in Africa is Lake Assal, in Dijibouti, which is 157 m below sea level. What is the total distance between the top of Mount Everest and the lowest point at Lake Assal? 8 848 m 0m ‒ 157 m _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ (2) Question 3: Fractions; Decimals and Percentages [24] 5 3.1 Change 78 to an improper fraction. _____________________________________ (1) 3.2 Convert 0,68 to a common fraction in its simplest form. _________________________ (1) 5 2 3 7 3.3 Which one of the fractions 2 6 ; 3 3 ; 2 4 𝑜𝑟 3 12 is closest to 3? _____________________________________________________________________ (1) 42 3.4 Simplify 5 16 __________________________________________________________ (1) 5 3.5 What is of 64kg? 8 ______________________________________________________________________ (1) Page 3 of 6

3.6 Calculate: Downloaded from hlayiso.com a) x = 356,9 + 27,283 – 5,999 _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ (2) b) x = 94,61 × 32,4 _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ (2) c) x = 578,7 ÷ 9 _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ (1) d) x = 1 78 + 4 34 _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ (2) e) x = 3 35 − 1 46 30 48 30 _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ (2) f) x = 1 78 × 2 128 _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ (2) g) x = 45% of R240 Page 4 of 6

Downloaded from hlayiso.com _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ (2) 3.7) H&M is having a winter sale. All items are sold at a 25% discount. Calculate what you will pay for a pair of jeans that originally cost R460? _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ (2) 3.8) Peter paid R120 for a soccer ball that originally cost R150. a) What percentage of the original price did he pay? _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ (2) b) With what percentage did the price of the soccer ball decrease? _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ (2) Question 4: Number Patterns/ Functions and Relationships [10] 4.1) Complete the flow-diagram by filling in the missing values : (2) 𝒙 (input) 𝒚 (output) 7 (4.1.1) ______ y = 3𝑥 + 2 (4.1.2) _______ 47 4.2) Extend the following number sequences to the next two terms and describe the pattern. 4.2.1) 8 ; 14 ; 20 ; 26 ; ______ ; ______ 4.2.2) 1 ; 2 ; 4 ; 8 ; ______ ; ______ (2) Page 5 of 6

Downloaded from hlayiso.com 4.3) Study the following pattern and answer the questions that follow : 4.3.1) How many squares will the 5th pattern have? __________________________________ (1) 4.3.2) Determine the general rule for this pattern. ____________________________________ (1) 4.3.3) How many squares will the 10th pattern have? Show how you got to your answer. _ _______________________________________________________________________ (2) 4.3.4) Which pattern will have 144 squares? ________________________________________ (2) Question 5: Algebra [13] 5.1) Write these algebraic expressions in their shortest form: a) 2×𝑏–4 = __________ b) (3 + 𝑚) ÷ 𝑛 = __________ c) 𝑎×3×4×𝑏 = _______________ (3 × 1 = 3) 5.2) Write the following as algebraic expressions: a) The sum of 𝑝 and double 𝑞. ____________________ b) Subtract 𝑦 from 2 and multiply by 6. ____________________ c) Divide 9 by 𝑞 and add 14. ____________________ (3 × 1 = 3) 5.3) Solve these algebraic expressions by substitution. Let 𝑥 = 4 and 𝑦 = 3. a) 𝑥𝑦 = __________ = __________ 𝑥 b) = __________ = __________ 3𝑦 c) 5𝑦 – 𝑥 = __________ = __________ (3 × 1 = 3) 5.4) Solve the following equations by inspection: a) 𝑝 + 8 = 17 𝑝 = _________________ b) 22 - 𝑝 = 9 𝑝 = _________________ p c) =3 𝑝 = _________________ 12 d) 5𝑝 + 13 = 38 𝑝 = _________________ (4 × 1 = 4) TOTAL: 75 Marks Page 6 of 6