Mathematics Grade 7 November 2015 Question Paper

Downloaded from hlayiso.com ANNUAL NATIONAL ASSESSMENT 2015 GRADE 7 MATHEMATICS TEST MARKS: 100 MARKS TIME: 2 hours PROVINCE _________________________________________________________ DISTRICT __________________________________________________________ CIRCUIT ___________________________________________________________ SCHOOL ___________________________________________________________ EMIS NUMBER (9 digits) CLASS (e.g. 7A) __________________ SURNAME _________________________________________________________ NAME _____________________________________________________________ GENDER (✓) BOY GIRL DATE OF BIRTH C C Y Y M M D D This test consists of 14 pages, excluding the cover page.

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Downloaded from hlayiso.com Instructions to the learner 1. Read all the instructions carefully. 2. Question 1 consists of 10 multiple-choice questions. You must circle the letter of the correct answer. 3. Answer questions 2 to 8 in the spaces provided. 4. All working must be shown. 5. The diagrams are not drawn to scale. 6. The test is out of 100 marks. 7. The test duration is 2 hours. 8. The teacher will lead you through the practice question before you start the test. 9. You may use a calculator unless otherwise stated. Practice question. Circle the letter of the correct answer. 1. The next number in the number sequence 1 ; 3 ; 5 ; 7 ; … is … A 8 B 12 C 16 D 9 Your answer is correct if you circled D. The test starts on the next page. Grade 7 Mathematics Test 1

Downloaded from hlayiso.com QUESTION 1 1.1 The lowest common multiple of 5 and 7, is … A 5 B 35 C 12 D 7 (1) 1.2 In 6𝑥𝑥 + 2, the variable is … A 6𝑥𝑥 B 6𝑥𝑥 + 2 C 𝑥𝑥 D 6 (1) 1.3 32 written as a product of its prime factors is … A 1 × 32 B 2 × 16 C 2 × 2 × 2 × 2 × 2 D 2 × 4 × 4 (1) 1.4 What percentage is 1 200 of 5 000? A 24% B 50% C 38% D 12% (1) Grade 7 Mathematics Test 2

Downloaded from hlayiso.com 𝑘𝑘 1.5 What is the value of 3 − if 𝑘𝑘 = 4? 2 A 4 B 1 C 2 D −2 (1) 1.6 A quadrilateral in which all 4 sides are equal, is called a … A rectangle. B parallelogram. C rhombus. D kite. (1) 1.7 A set of points with a definite starting-point and no definite end-point is called a … A line segment. B ray. C straight line. D perpendicular line. (1) 1.8 X Y W Z In the above figure, WX and ZY are… A perpendicular line segments. B parallel line segments. C intersecting line segments. D vertical line segments. (1) Grade 7 Mathematics Test 3

Downloaded from hlayiso.com 1.9 The perimeter of a regular pentagon with one side equal to 5 cm is … A 25 cm B 5 cm C 35 cm D 30 cm (1) 1.10 𝑥𝑥 1 2 3 4 𝑦𝑦 4 5 6 7 The relationship between 𝑥𝑥 and y is … A 𝑦𝑦 = 5 × 𝑥𝑥 B 𝑦𝑦 = 3 × 𝑥𝑥 C 𝑦𝑦 = 𝑥𝑥 + 4 D 𝑦𝑦 = 𝑥𝑥 + 3 (1) [10] QUESTION 2 2.1 Calculate without using a calculator. Show the calculation steps where needed. 2.1.1 1 643 884 + 262 206 ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ (2) Grade 7 Mathematics Test 4

Downloaded from hlayiso.com 2.1.2 6 517 ÷ 31 ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ (4) 2.1.3 315 × 236 ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ (4) 2.1.4 23 × 14 ________________________________________________ ________________________________________________ (3) 2.1.5 √144 + 62 ________________________________________________ ________________________________________________ ________________________________________________ (3) Grade 7 Mathematics Test 5

Downloaded from hlayiso.com 2.1.6 3 7 × 5 6 ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ (3) 2.1.7 0,012 ÷ 4 ________________________________________________ ________________________________________________ (1) 2.1.8 100 − 12 ÷ (8 + 4) ________________________________________________ ________________________________________________ ________________________________________________ (3) 2.2 Write 1,6 as an improper fraction in the simplest form. _________________________________________________________ _________________________________________________________ (2) 2.3 A group of 25 Grade 7 learners watched a soccer match. The ratio of the number of boys to the number of girls was 2 ∶ 3. How many boys were there? _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ (3) Grade 7 Mathematics Test 6

Downloaded from hlayiso.com 2.4 Calculate 10% of R15,00. _________________________________________________________ _________________________________________________________ _________________________________________________________ (3) 2.5 John travelled by car at an average speed of 80 kilometres per hour for 1 4 hours. Calculate how far he travelled. 2 _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ (3) [34] QUESTION 3 3.1 3.1.1 Fill in the missing numbers in the following number sequence: 1 ; 4 ; 9 ; _______ ; 25 ; _______. (2) 3.1.2 Are the numbers in the above number sequence prime numbers, square numbers or cubic numbers? ________________________________________________ (1) Grade 7 Mathematics Test 7

Downloaded from hlayiso.com 3.2 Study the following diagram pattern of regular octagons and then complete the table. Number of polygons 1 2 3 4 𝑛𝑛 Number of sides 8 15 22 (3) 3.3 Use the given rule to fill in the missing values in the flow diagram below. 𝑝𝑝 𝑡𝑡 7 11 11 ______(3.3.1) 𝑡𝑡 = 2 × 𝑝𝑝 − 3 (3.3.2)______ 21 20 ______(3.3.3) (3) 3.4 Calculate the value of 𝑐𝑐 3 + 12 if 𝑐𝑐 = 3. ________________________________________________________ ________________________________________________________ ________________________________________________________ ________________________________________________________ (3) 3.5 Solve the following equations by inspection: 3.5.1 𝑘𝑘 =9 3 ________________________________________________ (1) Grade 7 Mathematics Test 8

Downloaded from hlayiso.com 3.5.2 𝑦𝑦 − 17 = 13 ________________________________________________ (1) 3.6 3.6.1 Write an algebraic expression for the following: 𝑥𝑥 increased by five ________________________________________________ (1) 3.6.2 Write a number sentence for the following: Two times a certain number 𝑝𝑝 decreased by eight is equal to twelve. ________________________________________________ (3) 3.7 The given graph illustrates the number of hot dogs sold on different school days during one week. Hot dog sales during one week 60 Number of hot dogs sold 50 40 30 20 10 0 Mon Tue Wed Thu Fri Days of the school week 3.7.1 How many hot dogs were sold on Thursday? _________________________________________________ (1) 3.7.2 On which days did the sales remain constant? _________________________________________________ (1) 3.7.3 Calculate the difference between the number of hot dogs sold on Monday and on Thursday. _________________________________________________ (2) [22] Grade 7 Mathematics Test 9

Downloaded from hlayiso.com QUESTION 4 4.1 Study the triangles marked A, B, C and D. A C D B Complete the table below by filling in A, B, C or D. Equilateral triangle Right-angled triangle Obtuse-angled triangle (3) 4.2 Study the diagram below and answer the questions that follow. A D B C 4.2.1 �? What kind of angle is C _______________________________________________ (1) 4.2.2 � C? What kind of angle is AB _______________________________________________ (1) 4.2.3 � C? What kind of angle is BD _______________________________________________ (1) 4.2.4 Name a pair of perpendicular line segments. _______________________________________________ (1) Grade 7 Mathematics Test 10

Downloaded from hlayiso.com 4.3 T is the centre of the circle. Name the parts of the circle that are listed. P 4.3.1 PQ is called ______________. M S 4.3.2 TM is called ______________. T 4.3.3 PS is called ______________. Q (3) 4.4 . Identify each of the figures below: Fig A 4.4.1 Figure A is a ___________________ Fig B 4.4.2 Figure B is a ___________________ 4.4.3 Figure C is a ___________________ Fig C Fig DD Fig 4.4.4 Figure D is a ___________________ (4) [14] QUESTION 5 5.1 In an equilateral triangle PQR, PQ = 23 mm Complete: 5.1.1 QR = PR = ______ mm (1) 5.1.2 � �=� P=Q R = _______° (1) Grade 7 Mathematics Test 11

Downloaded from hlayiso.com 5.2 Study the diagram below and then, answer the questions that follow. D 4 cm 40° 40° E F 5.2.1 What is the length of DF? ________________________________________________ (1) 5.2.2 If � E = 40°, what is the size of �F? ________________________________________________ (1) [4] QUESTION 6 6.1 Study the pairs of diagrams below and complete the statements by filling in A or B or C or D in the spaces provided. A B C D 6.1.1 The 2 shapes in __________________ are congruent. (1) 6.1.2 The 2 shapes in __________________ are similar. (1) Grade 7 Mathematics Test 12

Downloaded from hlayiso.com 6.2 Write down whether each pair of triangles given below is congruent, similar or neither. 3 2 6 1 4 2 Pair 1 Pair 2 6.2.1 Triangles in pair 1 are ________________________. (1) 6.2.2 Triangles in pair 2 are ________________________. (1) [4] QUESTION 7 7.1 Calculate the perimeter of the rectangle if the length is 11 cm and the breadth is 5 cm. _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ (3) 7.2 Write down the formula for the surface area of a cube. _________________________________________________________ (1) Grade 7 Mathematics Test 13

Downloaded from hlayiso.com 7.3 In the rectangular prism below, the length = 5 cm, the breadth = 3 cm and the height = 10cm. Calculate the volume of the rectangular prism. ________________________________________________________ ________________________________________________________ ________________________________________________________ ________________________________________________________ (3) [7] QUESTION 8 8.1 A mother is twice as old as her daughter. How old is the daughter if the mother is 64 years old? ___________________________________________________________ ___________________________________________________________ (2) 8.2 The product of two prime numbers is 10. What is the difference between the two prime numbers? ___________________________________________________________ ___________________________________________________________ (3) [5] TOTAL: 100 Grade 7 Mathematics Test 14

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