The document contains a series of math problems and explanations in Indonesian. It provides step-by-step workings for problems involving factors, range, median, percentages, probability, exponents, coordinate geometry, gradients, tables of values, equations, angles, and multiplication. The document demonstrates how to solve various types of math questions and explains concepts like factors, percentages, exponents, and coordinate geometry.

1. SUKSES MENAKLUKKAN
CHECKPOINT 2014

2. 1. Write down all the factors of 18
• 18 = 1 x 18
• 18 = 2 x 9
• 18 = 3 x 6
So, the factors of 18 are 1, 2, 3, 6, 9, 18

3. 2. Work Out
1, 9, 3, 4, 7, 13, 10, 1, 7, 8, 7
a. The range (Jangkauan)
b. Median (Nilai tengah setelah data diurutkan)
a. Range = data terbesar – data terkecil
Range = 13 – 1 = 12
b. Median
1, 1, 3, 4, 7, 7, 7, 8, 9, 10, 13
= 7 Urutkan
Dulu Ya…
5 data 5 data

4. 3. Calculate 8 as a percentage of 40
So, 8 is 20% of 40

5. 4. Complete the number
You are told that
• The only number on the spinner are 1, 6, and 7
• The probability of the spinner landing on a section numbered with a 1 is ¼
• The spinner is equally likely to land on an odd number as it is to land on
an even number (ganjil genap kemungkinannya sama)
1
6
7
7
6
….
….
…1.
6
6

6. 5. Work out the product of -2, -8, and -5

7. 6. The map shows a School and a Hospital
North
●
School
North
●
Hospital
Scale: 1 cm to 40 m
a. Work out the actual distance from the
school to the Hospital
b. The bearing of a House from the hospital
is 250o
The bearing of a house from the school is
120o
Mark the position of the house on the map
8 cm = 8 x 40 m
= 320 m
KLIK
250o
120o
●
House
KLIK

8. 100000 = 105
ퟒퟔ. ퟕퟖퟒ
ퟏퟎퟎퟎ
= ퟎ. ퟎퟒퟔퟕퟖퟒ
Penulisan
decimal pake
titik lho ya...
0.046784 ≑ 4.6784 x 10-2
≑ 4.7 x 10-2
≑ 0.047
Correct to 2 significant figure tidak sama dengan pembulatan 2 decimal.
Maaf ya, yang tadi perlu diralat penjelasannya untuk nomor 16.c

9. a) 30 = ퟏ
b) 2-4 =
ퟏ
ퟐퟒ =
ퟏ
ퟏퟔ

10. 9. (a) Write down the gradient of the line y = -2x + 5
Gradient = -2
(b) Complete the table of value for y = -2x + 5
Mathsyairozi
x -1 2 4 6
y 7 1 -3 -7
x = -1 --- y = -2(-1) + 5 = 2 + 5 = 7

11. 100 – 2 x 33
= 100 – 2 x 27
= 100 – 54
= 46

12. a. 24 – 18b = 6.4 – 6.3.b
= 6(4 – 3b)
b. Expand and simply
5b – 3(2x + 3b) = 5b – 6x – 9b
= – 4b – 6x

13. cara 2
☻
A(1, 3)
M (4,12)
☻
4 – 1 = 3
12 – 3 = 9
Xb – 4 = 3
Xb = 7
Yb – 12 = 9
Yb = 21
B( Xb , Yb )

14. x = 3y
2x + y = 28
2x + y = 28
karena x = 3y
maka
2(3y) + y = 28
6y + y = 28
7y = 28
y = 4
x = 3y
x = 3 . 4
x = 12

15. 130o
E
A
B
C
D
G
a) Mark on the diagram an angle which is
ALTERNATE to angle CBE
b) Calculate the size of angle FEG
F
KLIK
50o
KLIK
(Bersebrangan)

16. 6 cm
6 cm

17. 32
6
= 52
6 = 5
1
3

18. Kata kunci:
• bilangan yang dikalikan dengan 1 pasti hasilnya adalah
bilangan itu sendiri.
• Sedangkan jika suatu BILANGAN POSITIF dikalikan
dengan BILANGAN KURANG DARI 1 pasti hasilnya adalah
LEBIH KECIL DARI BILANGAN ITU SENDIRI
• 0.67 itu lebih kecil dari 1, jadi 782 x 0.67 hasilnya pasti lebih
kecil dari 782
“THE MULTIPLICATION OF POSITIVE NUMBER BY A
NUMBER LESS THAN ONE WILL ALWAYS GET
SMALLER NUMBER”

19. Fania and Nana work in the same office.
The travel graph shows their journey home last Monday
10
20
19
15
Nana
Fania