Everything Maths Grade 10

1.Mean: 52; Modal group: 50 < m 55 ; Median group: 50 <

m 55

2.Mean: 70,66; Modal group: 65 < t  75 ; Median group:

65 < t 75

3. a) 700 < x 800

b)33 600

c) 700

d) 750

e)R 588 000

Exercise 10 – 5:

1. 10 2. 9 3. 9 4.Q 1 = 6,5;Q 2 = 18;
   Q 3 = 29
   Exercise 10 – 6:

Exercise 10 – 7:

1.quantitative continuous

2.qualitative categorical

3. 10


4. 10


5. 44


6. 6
   7. 10


7. 15
   9.x= 19
   10.x=p+ 4


8. 1


9. 4


10. 3
    14.C
    15.E

16.data set C

17.data set B

18. 18


19. 14


20. a)Mean and mode


21. a)19,9


22. a)R 182 222,22
    b)R 100 000
    c)R 100 000


23. a)The mean and range are 89,2 and
    27 respectively.


24. a)x= 17
    b)xis any integer withx ̸=
    f1; 3; 4; 5; 9g
    c)x= 7

d)x= 10

e)x= 4

26.f2; 5; 7; 10; 10g

27. a)median = 6,5; mode = 8; mean
    = 5,45
    b)φ 21 = 4
    c)f3; 3; 5; 5; 8; 8; 8g or
    f3; 4; 4; 5; 8; 8; 8g


28. a) 22 ;36,5; 50 ; 55 ; 64
    b)no men can be retrenched
    c)x=42,643


29. a)B
    b)median
    c) 3
    d)brand C

11 Trigonometry

Exercise 11 – 1:

1. 5 2. 9 3.53,13° 4.35,30° 5.26 m 6.15 m
   Exercise 11 – 2:

1.19,47°

2. a) 18 °
   b) 23 °


3. 8
   4.44,99◦


4. 8 ◦

6.10 m

7. b)48,59°


8. b)54,69 m
   9.7,71 m
   10.the ship is not safe
   11.473,52 m


9. 106,62° and 67,38°


10. 11,47 cm and 8,03 cm
    14.4,24 cm


11. a) 5 cm


12. a) 36,53°
    b)34,82 m


13. b)379,73 m
    18.793,77 m


14. a)11,21 cm
    b)56,4°
    20.167 m

12 Euclidean geometry

Exercise 12 – 1:

1. a)AECFis a parm
   b)ABCDis a parm

2.AD=EF

6. b) 34 ◦

c) 105 ◦

7. b) 36 ◦

c) 42 ◦

Exercise 12 – 2:

6. b)24 cm^2
   7. a)(i) In△QRTand△RSTsideRT = RT, (ii) common
   side, (iii))QR=T SandQT=RSand (iv) opp. sides

are equal

b) 63 ◦

c) 79 ◦

13 Measurements

Exercise 13 – 1:

1. a)25 cm^2
   b)50 cm^2
   c)78,54 cm^2
   d)40 cm^2

e)60 cm^2

f)12 cm^2

g)43,30 cm^2

h)276 cm^2

2. a) 9 z^2 + 12z+ 4
   b) 2 hzh


3. a)x^2 + 8x+ 16
   b)hx+ 2h

512 Solutions