GRADE 7 - Mathematics Senior Phase JC D14-Home€¦ · Web viewFINAL EXAMINATION TIME: 2 HOURS DATE : MARKS: 120 EXAMINER: MODERATOR: This assessment task consists of 5 pages INSTRUCTIONS

Mathematics Examination Grade 7 November 2017 Page 1 of 15

GRADE 7

NOVEMBER EXAMINATION 2017

MEMORANDUM

SUBJECT : MATHEMATICS

TASK : FINAL EXAMINATION

TIME : 2 HOURS

DATE :

MARKS : 120

EXAMINER :

MODERATOR :

This assessment task consists of 5 pages

INSTRUCTIONS AND INFORMATION

1. This question paper consists of SECTION A and SECTION B based on the prescribed content framework in the CAPS document.

SECTION A: MULTIPLE CHOICE

QUESTION 1: TEN MULTIPLE CHOICE QUESTIONS BASED ON ALL FIVE CONTENT AREAS

SECTION B: SEVEN QUESTIONS BASED ON FIVE CONTENT AREAS

QUESTION 1: NUMBERS, OPERATIONS AND RELATIONS

QUESTION 2 ALGEBRAIC EXPRESSION AND EDQUATIONS

QUESTION 3: PATTERNS, FUNCTIONS AND ALGEBRA

QUESTION 4: SPACE AND SHAPES

QUESTION 5: MEASUREMENT

QUESTION 6: DATA HANDLING

2. Answer ALL questions in both SECTIONS.

3. A non-programmable calculator may be used unless otherwise stated.

4. In SECTION A circle the letter of the correct answer; and if you change your decision cross out the circled letter and circle your new choice

5. In SECTION B show all necessary steps in your working unless otherwise stated.

6. When answering questions, candidates must apply their knowledge, skills and insight.

7. Number the answers correctly according to the numbering system used in this question paper.

8. Write neatly and legibly.


SECTION A1. 3√125 + √81 =

A. 11 B. 12 C. 13 D. 14(2)

2. 13 568 rounded off to the nearest 1000 =

A. 13 500 B. 13 000 C 14 000 D .14 500

(2)

3. 7 x 15 =A. 105 B. 110 C. 150 D. 115

(2)

4. 5+12×3=¿A. 41 B. 51 C. 61 D. 71

(2)

5. A small tank holds 2000 litres of water. How long will this last if 250 litres is used every day A. 25 days B. 15 days C. 10 days D. 8 days

(2)

6. What would we call the type of an angle at which an aeroplane takes off from the runaway?

A. Reflex B. Obtuse C. Acute D. Straight angle

(2)

7. ABCD is a parallelogram below, which one of the following statements is true

A. AB // CD B. AC // CD C. CD // BD D. AB // BD

(2)

8. The perimeter of a rectangle with dimensions 5 and 10 will be

A. 15 units B. 20 units C. 25 units D. 30 units

(2)

9. The following data set for the winning lotto numbers. What is the median?

5; 9; 23; 29; 35; 36; 36; 12; 17; 23; 36; 38

A. 23 B. 29 C. 26 D. 36

(2)

10. Using the data set for lotto winning numbers .What is the mode?

5; 9; 23; 29; 35; 36; 36; 12; 17; 23; 36; 38

A. 23 B. 29 C. 26 D. 36

(2)

Total [20]


Section B

Question 1

1.1 Fill in the missing operations signs to make the number sentence true:

[6∗(5∗4 ) ]∗3=40

[6× (5×4 ) ]÷3=40

(3)

1.2 Peter, Andy and Sarah have 350 marbles altogether. How many marbles will each child have if they share the marbles in the ratio of 2 : 3 : 5 respectivily.

2+3+5=10

Peter Andy Sarah

210×350=70 3

10×350=105 5

10×350=175

(7)

1.3 Sandi bought CD marked R120 .There was a sale on the music store, which offered a 15% discount .How much discount did Sandi receive?

R120×15%=R18

(2)

1.4 Mrs Simon invest R10 000 with a bank. How interest would she earn after

5 years, if she receive 10% interest per annum(year)?

SI=Prn100

=10000×10×15100

=R5000

(3)


1.5

Tabulate the next 2 patterns of dots

(2)

1.6 A typist types 2400 words in an hour. Write her typing speed in the rate: Words/Minutes

2400words60minutes

=40words /minutes

(3)

1.7 Complete the table

Fractions Decimal Fractions Percentage

1025

a=0,4 b=40%

d=1720

c=0,85 85%

(4)

[24]Question 2

2.1 Write an algebraic expression or equation of the following :

2.1.1 The product of seven and nine is added to the sum of 3 and 4.

(7×9 )+(3+4 )

63+7

70

(3)

2.2 Look at the cards below and answer the questions that follow.


2.2.1 Which of the numbers in the third card are whole numbers?

10(1)

2.2.2

Write down some more whole numbers that can be found in the third card.

10 ;29and 4763

(1)

2.2.3

Write down some more numbers from the cards that are not whole numbers in the third card.

23 ;58 and 3.75

(1)

2.3 Determine the values of the following expressions if:

a=5 ; b=−2 and c=2

2.3.1 3a−b+2c

3 (5 )− (−2 )+2 (2 )

15+2+4

21

(2)

2.3.2 abc

+a2 (2)


5(−2)2

+(5)2=20

[10]

Question 3

3.1 Solve for x: Show all your working

3.1.1 2 x=14

x=142

=7 (2)

3.1.2 4 x−6=2x+28

−6−28=2x−4 x

−34−2

=−2 x−2

17=x

(4)


3.1.3

6 x+42x

=5

6 x+4=5×2 x

4=10−6 x4=4 x÷4 ¿1=x

(4)

3.2 Determine the value of a and b using substitution.

x 1 2 3 100y=2x−4 -2 a=0 2 b=196

(2)

3.3 Find the value of c, d and e. (Show all your working) (4)

3.4

Study the following graph, showing the average minimum temperatures in CapeTown, and then answer the questions that follow:

3.4.1 Describe the trend in the minimum temperatures from July to December.Increasing (1)


y=2+x2

c=11

d=18

38f=6or -6

4

3

3.4.2 Which month has the lowest minimum temperature, and what is the average minimum temperature in this month?July; 6,8 °C ≈ 7 °C

(2)

3.4.3 Write down the names of the month(s) with the highest minimumtemperatures, and their average minimum temperatures.?

January and February; 16 °C(2)

[21]

Question 44.1 Calculate the size of angle x

x+900+500=1800 sum of angles in a triangle

x=1800−1400

x=400

(3)

4.2 Calculate the area of the following triangle

Areaof ∆ ABC=12base ×height¿ 1

2×5×8 ¿20cm2

(3)


500

x

8 cm

5 cm

A

BC

4.3 In each diagram, the dotted line is the axis of symmetry. Complete each figure.

(2)

4.5 What kind of transformation is illustrated below?

Translation

(1)

4.6 Describe the translation which transformed (changed) the position of triangle A to that of triangle B.

Translation 6 units down and 8 units left orTranslation 8 units left and 6 units down

(2)


4.7 Use the sketch, with the Centre B, to answer the following questions

4.7.1 Name the chordDH

(1)

4.7.2 Name a radiusBD and BE

(1)

4.7.3 Name the diameterFD

(2)

4.7.4 Which two lines are parallelEC//DH

(1)

4.7.5 What kind of triangle is ∆CDH ?Scalene

(1)

4.7.6 What kind of angle is E C FObtuse

(1)

[18]Question 55.1

Convert the following

5.1.1 450m to km0,45km

(1)

5.1.2 3,04 kg to grams3040grams

(1)

5.1.3 3,5cm2 to mm2

350mm2(2)


5.2

Calculate the area of ∆ ABC and perimeter of the diagram DEFGHI.

Areaof ∆ ABC=12×base×height

¿ 12×16×12=96cm2

Perimeter of DEFGHI=DE+EF+FG+GH+HI+DI¿5 cm+5cm+8cm+5 cm+13cm+10cm=46cm

(8)

5.3

What is the volume of the 3-D. below.

V=l ×b×hV=50mm×50mm×50mmV=125000mm2

(3)

[15]

Question 66.1

This is the scores of J. Kallis a South African cricket player:


A

BC

D E

F G

HI

17; 61; 25; 37; 35; 45; 59; 19; 22; 38; 44; 32; 26; 55; 43

1 7 92 2 5 63 2 5 7 84 3 4 55 5 96 1

Answer the following questions:

6.1.1 Name the display of data?

Stem and Leaf(1)

6.1.2 Write down the lowest score?

17

(1)

6.1.3 Find the median

37(1)

6.1.4 Calculate the mean?

mean=55815

=37,2

(3)

6.2

The graph below shows the percentage of male and female learners at schools in Grades 3 to 8 in 2009.

Percentage of male and female learners in Grades 3 to 8


6.2.1 Which grade has the highest percentage of females?

Grade 8 (51,1%)(1)

6.2.2 Which grade has the lowest percentage of females?Grade 4 (47,9%)

(1)

6.2.3 Which grade has the highest percentage of males?Grade 4 (52,1%)

(1)

6.2.4 Which grade has the lowest percentage of males?Grade 8 (48,9%)

(1)

6.2.5 If 150 000 Grade 6 learners took part in the survey, how many girls and how many boys were there in Grade 6? You may use your calculator.

Girls∈grade6=49,7100

×150000=74500

Boys∈grade 6=50,3100

×150000=75450

(2)

[12]Total : 120

FORMULA SHEET


Simple Interest:

I=Prn100

A=P(1+¿)

A=P(1+ rn100

)

Compound Interest:

A=P(1+i)n

A=P(1+ r100

)n

CI = A - P

Area: 1. A = l×b

2. A =

12 bh

3. A = πr2

Volume: 1. V = l×b×h

2. V =

12 bh×H

3. V = πr2h


Documents

GRADE 7 - Mathematics Senior Phase JC D14-Home€¦ · Web viewFINAL EXAMINATION TIME: 2 HOURS DATE : MARKS: 120 EXAMINER: MODERATOR: This assessment task consists of 5 pages INSTRUCTIONS