Free Printable Mathematics Formulas (Rumus Matematik)

1.

Fill in the blank: The formula for multiplying powers with the same base is a^m × a^n = $a^{m+n}$

a)

$a^{m+n}$

b)

$a^{m-n}$

c)

$a^{mn}$

d)

$a^{m/n}$

2.

Fill in the blank: The formula for dividing powers with the same base is $a^m ÷ a^n =$ .

a)

$a^{m-n}$

b)

$a^{m+n}$

c)

$a^{mn}$

d)

$a^{n-m}$

3.

Fill in the blank: The formula for raising a power to another power is (a^m)^n = $(a^m)^n$ .

a)

$a^{mn}$

b)

$a^{m+n}$

c)

$a^{m-n}$

d)

$a^{n/m}$

4.

Fill in the blank: The formula for distance (Jarak) between two points is = ?

a)

$\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

b)

(x2 + x1) + (y2 + y1)

c)

(x2 - x1) * (y2 - y1)

d)

(x2 - x1) + (y2 - y1)

5.

The formula for midpoint (Titik tengah) is (x, y) = ?

a)

( (x1 + x2)/2 , (y1 + y2)/2 )

b)

( (x1 - x2)/2 , (y1 - y2)/2 )

c)

( (x1 + x2) , (y1 + y2) )

d)

( (x1 * x2)/2 , (y1 * y2)/2 )

6.

The formula for average speed (Laju purata) is = ?

a)

distance travelled / time taken

b)

time taken / distance travelled

c)

distance travelled x time taken

d)

distance travelled + time taken

7.

The formula for mean (Min) is = ___ .

a)

sum of data values / number of data values

b)

sum of data values × number of data values

c)

sum of data values - number of data values

d)

sum of data values + number of data values

8.

The formula for mean (Min) in a frequency table is = ?

a)

sum of (midpoint × frequency) / total frequency

b)

sum of frequencies / number of classes

c)

highest value - lowest value

d)

sum of all data values / number of intervals

9.

Fill in the blank: The Pythagorean Theorem is $c^2 = a^2 + b^2$

a)

$a^2 + b^2$

b)

$a^2 - b^2$

c)

2ab

d)

$a^2 / b^2$

10.

The formula for gradient (Kecerunan) is m = __.

a)

(y2 - y1) / (x2 - x1)

b)

(x2 - x1) / (y2 - y1)

c)

(y1 + y2) / (x1 + x2)

d)

(x1 - x2) / (y1 - y2)

11.

The formula for gradient (Kecerunan) is m = ?

a)

(y-intercept) / (x-intercept)

b)

(x-intercept) / (y-intercept)

c)

(y-intercept) / (x-intercept)

d)

(x-intercept) - (y-intercept)

12.

The formula for probability of an event (Kebarangkalian suatu peristiwa) is P(A) = ?

a)

n(A) / n(S)

b)

n(S) / n(A)

c)

n(A) × n(S)

d)

n(S) - n(A)

13.

The formula for the probability of the complement event is P(A') = _____

a)

1 - P(A)

b)

P(A) + 1

c)

P(A) - 1

d)

1 + P(A)

14.

The formula for simple interest (Faedah mudah) is ___ .

a)

I = Prt

b)

I = P + r + t

c)

I = Pr/t

d)

I = P - rt

15.

Fill in the blank: The formula for maturity value (Nilai matang) is MV = ?

a)

$P(1 + r/n)^{nt}$

b)

$P(1 - r/n)^{nt}$

c)

$P(1 + r*n)^{t}$

d)

$P(1 + r/n)^{t}$

16.

The formula for total repayment (Jumlah bayaran balik) is ___ .

a)

A = P + Prt

b)

A = P - Prt

c)

A = Prt

d)

A = P / Prt

17.

What is the formula for the area of a parallelogram?

a)

Area = base × height

b)

Area = 2 × (base + height)

c)

Area = base × base

d)

Area = 1/2 × base × height

18.

What is the formula for the area of a trapezium?

a)

Area = 1/2 × (sum of parallel sides) × height

b)

Area = base × height

c)

Area = 1/2 × base × height

d)

Area = length × breadth

19.

What is the formula for the area of a kite?

a)

Area = 1/2 × (product of diagonals)

b)

Area = length × width

c)

Area = base × height

d)

Area = 2 × (sum of diagonals)

20.

What is the formula for the circumference of a circle?

a)

Circumference = πd = 2πr

b)

Circumference = $\pi r^2$

c)

Circumference = 2πd

d)

Circumference = $\pi/2 r^2$

21.

What is the formula for the area of a circle?

a)

Area = πr²

b)

Area = 2πr

c)

Area = πd

d)

Area = r²

22.

What is the formula for the length of an arc?

a)

Arc length = (central angle / 360°) × circumference

b)

Arc length = (central angle × 360°) / circumference

c)

Arc length = (central angle / circumference) × 360°

d)

Arc length = (circumference / 360°) × central angle

23.

What is the formula for the area of a sector?

a)

Area of sector = (central angle / 360°) × area of circle

b)

Area of sector = (radius × central angle) / 2

c)

Area of sector = π × radius × central angle

d)

Area of sector = (central angle × area of circle) / 180

24.

What is the formula for the curved surface area of a cylinder?

a)

Curved surface area = 2πrh

b)

Curved surface area = πr²h

c)

Curved surface area = 2πr²

d)

Curved surface area = πrh²

25.

What is the formula for the curved surface area of a cone?

a)

Curved surface area = πrs

b)

Curved surface area = πr²

c)

Curved surface area = 2πrh

d)

Curved surface area = πrl²

26.

What is the formula for the surface area of a sphere?

a)

Surface area = 4πr²

b)

Surface area = 2πr²

c)

Surface area = πr²

d)

Surface area = 4πr³

27.

What is the formula for the volume of a right prism?

a)

Volume = area of cross-section × length

b)

Volume = length × width × height

c)

Volume = 2 × area of base × height

d)

Volume = area of base ÷ height

28.

What is the formula for the volume of a cylinder?

a)

Volume = πr²h

b)

Volume = 2πrh

c)

Volume = πr²/2

d)

Volume = 2πr²h

29.

What is the formula for the volume of a cone?

a)

Volume = 1/3 πr²h

b)

Volume = πr²h

c)

Volume = 2πr²h

d)

Volume = 1/2 πr²h

30.

What is the formula for the volume of a sphere?

a)

Volume = 4/3 πr³

b)

Volume = πr²h

c)

Volume = 2πr

d)

Volume = 1/3 πr²h

31.

What is the formula for the volume of a right pyramid?

a)

Volume = 1/3 × base area × height

b)

Volume = base area × height

c)

Volume = 1/2 × base area × height

d)

Volume = 2 × base area × height

32.

What is the formula for the sum of interior angles of a polygon?

a)

Sum = (n - 2) × 180°

b)

Sum = n × 180°

c)

Sum = (n + 2) × 180°

d)

Sum = (n - 1) × 180°

33.

Simplify: $p^3 \times q^4 \times p^7 \times q$

a)

$p^4q^3$

b)

$p^{10}q^4$

c)

$p^{10}q^5$

d)

$p^{21}q^4$

34.

$(w^4)_7^{1}$ is not equal to

a)

$\frac{1}{(w^7)^4}$

b)

$\sqrt[4]{w^7}$

c)

$\frac{4}{w^7}$

d)

$(\sqrt{w})^4$

35.

Round 0.009896 correctly to three significant figures

a)

0.00980

b)

0.00989

c)

0.00900

d)

0.00990

36.

$5.11 \times 10^{-7} - 2.95 \times 10^{-8} =$

a)

$2.16 \times 10^{-8}$

b)

$4.815 \times 10^{-8}$

c)

$2.16 \times 10^{-7}$

d)

$4.815 \times 10^{-7}$

37.

Jumlah penduduk Malaysia dalam tahun 2021 ialah 32.66 juta. Diberi bahawa bilangan perempuan adalah 48.62% daripada jumlah penduduk. Hitung bilangan penduduk lelaki di Malaysia pada tahun tersebut. (1 juta = $10^6$ )

a)

A 1.59 × 10^6

b)

B 1.59 × 10^7

c)

C 1.678 × 10^6

d)

D 1.678 × 10^7

38.

Suhana menyimpan RM9 000 di dalam suatu akaun simpanan selama 18 bulan. Kadar faedah yang ditawarkan ialah 3.5% setahun. Hitung faedah yang diterima oleh Suhana selepas 18 bulan.

a)

RM 157.50

b)

RM 315.00

c)

RM 472.50

d)

RM 630.00

39.

Antara berikut, yang manakah tidak mempunyai tahap kecairan tinggi?

a)

Hartanah

b)

Unit amanah

c)

Simpanan

d)

Simpanan tetap

40.

Encik Adha membuat pinjaman peribadi sebanyak RM30 000 dari Bank Kaya dengan kadar faedah 4.7% setahun dan tempoh pinjaman ialah 4 tahun. Hitung ansuran bulanan yang perlu dibayar oleh Encik Adha.

a)

RM 352.50

b)

RM 470.00

c)

RM 654.38

d)

RM 742.50

41.

Rajah 1 di bawah menunjukkan dua buah segi tiga, G dan H yang dilukis pada grid segi empat sama. Diberi H ialah lukisan berskala bagi G. Tentukan skala yang digunakan.

a)

1 : 3

b)

1 : 2

c)

1 : 1/2

d)

1 : 1/3

42.

Syarikat Megah Holding bercadang untuk membina sebuah jambatan dengan panjang sebenar 10.5 km. Cari panjang dalam cm, bagi model jambatan itu jika skala 1 : 5000 digunakan.

a)

200

b)

210

c)

250

d)

280

43.

Rajah 2 di bawah menunjukkan sebuah segi tiga bersudut tegak PQR. Tentukan kos ∠QRP.

a)

24/25

b)

7/25

c)

7/24

d)

24/7

44.

Rajah 3 di bawah menunjukkan sebuah segi tiga bersudut tegak. Antara berikut, yang manakah merupakan nisbah bagi tan p?

a)

z/y

b)

x/y

c)

x/z

d)

x/y

45.

Rajah 4 di bawah menunjukkan titik J, K dan L berada pada lilitan bulatan dengan keadaan JL ialah diameter bulatan itu. Hitung nilai x.

a)

54°

b)

48°

c)

32°

d)

26°

46.

Rajah 4 di bawah menunjukkan sisi empat kitaran PQRS bagi sebuah bulatan yang berpusat di O. Hitung nilai x.

a)

73°

b)

84°

c)

203°

d)

253°

47.

Rajah 5 di bawah menunjukkan sebuah bulatan berpusat O. Dua tangen yang melalui titik P dan R bertemu pada titik Q. Pernyataan berikut adalah benar kecuali

a)

Segitiga PQO adalah kongruen dengan segi tiga RQO

b)

PQRO ialah sebuah layang-layang.

c)

∠QRO = ∠OQR

d)

PQ = QR

48.

Rajah 6 di bawah menunjukkan pelan dan dongakan sisi sebuah bentuk. Namakan bentuk itu.

a)

Piramid

b)

Prisma

c)

Kuboid

d)

Kon

49.

Shafy sedang memandu kereta di atas jalan raya yang lurus. Antara berikut, yang manakah lokus yang betul bagi situasi tersebut?

a)

Garis lurus

b)

Lengkung

c)

Bulatan

d)

Titik

50.

Rajah 7 di bawah terdiri daripada dua segi empat sama dan mempunyai panjang sisi 5 cm. QVS ialah semibulatan berpusat di R. X ialah lokus bagi satu titik yang bergerak dengan keadaan jaraknya sentiasa sama dari garis PQ dan TS. Y ialah lokus bagi satu titik yang bergerak dengan keadaan jaraknya dari titik R adalah sentiasa 5 cm. Antara titik berikut, yang manakah titik persilangan lokus X dan Y?

a)

V

b)

S

c)

R

d)

Q

51.

Persamaan bagi suatu garis lurus ialah 3y−7x=6. Tentukan kecerunan dan pintasan-y bagi garis lurus itu.

a)

Kecerunan: -7/3, Pintasan-y: 6

b)

Kecerunan: 7/3, Pintasan-y: 2

c)

Kecerunan: 7/3, Pintasan-y: 6

d)

Kecerunan: -7/3, Pintasan-y: 2

52.

Rajah 8 di bawah menunjukkan dua garis lurus yang selari. Cari persamaan garis lurus FG.

a)

y + 5x = 2

b)

y + 5x = -2

c)

y - 5x = 2

d)

y - 5x = -2

53.

State whether the following statements are TRUE or FALSE. $x^5 \times x^2 = x^7$

a)

True

b)

False

54.

State whether the following statements are TRUE or FALSE. ii. $4\sqrt{m^3}$ = $\frac{m^3}{4}$

a)

True

b)

False

55.

State whether the following statements are TRUE or FALSE. ii. $h^6 ÷ h^3 = h^2$

a)

True

b)

False

56.

State whether the following statements are TRUE or FALSE. iv. $18p^3 ÷ 6p^2 = 3p$

a)

True

b)

False

57.

2(b). State a type of risk-free investment.

a)

Government bonds

b)

Corporate stocks

c)

Real estate

d)

Cryptocurrencies

58.

For the triangle with dimensions 4 cm (height) and 2 cm (base), what is the scale (1:n) used?

a)

1:2

b)

1:3

c)

1:4

d)

1:5

59.

For the triangle with dimensions 8 cm (height) and 4 cm (base), what is the scale (1:n) used?

a)

1:1

b)

1:2

c)

1:4

d)

1:8

60.

For the triangle with dimensions 16 cm (height) and 8 cm (base), what is the scale (1:n) used?

a)

1:0.5

b)

1:2

c)

1:4

d)

1:8

61.

Determine whether the isosceles triangle S is a scaled drawing of the isosceles triangle R. Triangle R has sides 6 cm and 12 cm. Triangle S has sides 3 cm and 8 cm.

a)

No, triangle S is not a scaled drawing of triangle R because the scale factor for the base (6 cm to 3 cm) is 0.5, but the scale factor for the height (12 cm to 8 cm) is 0.67. The scale factors are not equal.

b)

Yes, triangle S is a scaled drawing of triangle R because both triangles are isosceles and have two equal sides.

c)

Yes, triangle S is a scaled drawing of triangle R because the ratio of the sides is the same for both triangles.

d)

No, triangle S is not a scaled drawing of triangle R because the triangles have different perimeters.

62.

Mark (√) the point that lies on the following straight line: (a) y - 10 = 6x. Which of the following points lies on the line?

a)

(-2, -2)

b)

(1, 4)

c)

(2, 22)

63.

Mark (√) the point that lies on the following straight line: (b) 2x - 3y = 11. Which of the following points lies on the line?

a)

(1, -3)

b)

(4, 1)

c)

(4, -1)

64.

(i) $3^6$ = ______

a)

729

b)

243

c)

6561

d)

81

65.

(a) Fill in the blank with the correct answer. (ii) ______ = -343

a)

$-7^3$

b)

$7^3$

c)

-343^1

d)

$49^2$

66.

(b) Simplify $(q^3)^2 \times q^{-8}$ .

a)

$q^{-2}$ or $1/q^{2}$

b)

$q^4$

c)

$q^6$

d)

$q^2$

67.

State the number of significant figures for the number 0.0300980.

a)

5

b)

4

c)

6

d)

3

68.

State the number of significant figures for the number 78091.

a)

5

b)

3

c)

4

d)

2

69.

(d) Hitung setiap yang berikut dan nyatakan jawapan dalam bentuk piawai. (i) $2.4 \times 10^4 + 3.57 \times 10^4$ Nyatakan jawapan dalam bentuk piawai.

a)

$5.97 \times 10^4$

b)

$6.01 \times 10^4$

c)

$5.81 \times 10^4$

d)

$5.17 \times 10^4$

70.

Hitung setiap yang berikut dan nyatakan jawapan dalam bentuk piawai. (ii) $5.3 \times 10^{-3} \times 4 \times 10^{5}$ Nyatakan jawapan dalam bentuk piawai.

a)

$2.12 \times 10^3$

b)

$2.12 \times 10^2$

c)

$2.12 \times 10^4$

d)

$2.12 \times 10^1$

71.

Nyatakan jenis simpanan atau pelaburan bagi situasi yang berikut. (i) Muthu membeli sebuah rumah teres dan bercadang untuk menjual rumah itu pada masa hadapan.

a)

Pelaburan hartanah (Property investment)

b)

Simpanan tetap (Fixed deposit)

c)

Pelaburan saham (Stock investment)

d)

Simpanan tabung haji (Tabung Haji savings)

72.

Nyatakan jenis simpanan atau pelaburan bagi situasi yang berikut. Encik Azzim merupakan pemilik kilang beras yang sering membuat pembayaran kepada pembekalnya dengan menggunakan cek.

a)

Simpanan semasa (Current account savings)

b)

Simpanan tetap (Fixed deposit)

c)

Simpanan tabungan (Savings account)

d)

Pelaburan saham (Stock investment)

73.

Nyatakan jenis simpanan atau pelaburan bagi situasi yang berikut. Cik Sherry membeli 5 000 unit syer sebuah syarikat telekomunikasi yang bernilai RM 2.35 seunit syer di Bursa Saham Mekar.

a)

Pelaburan saham (Stock investment)

b)

Simpanan tetap (Fixed deposit)

c)

Akaun simpanan (Savings account)

d)

Pelaburan emas (Gold investment)

74.

Select the correct advantages of using a credit card.

a)

Convenient payment and builds credit history

b)

High interest rates and late fees

c)

Limited acceptance and no rewards

d)

Requires immediate cash payment and no credit limit

75.

Jumlah faedah yang diterima oleh Puan Aleeya selepas menyimpan RM12,000 di Bank Cahaya pada kadar faedah 2.8% setahun selama 4 tahun ialah:

a)

RM1,344

b)

RM1,200

c)

RM1,500

d)

RM1,000

76.

Nadhirah collects sand in a plastic bag weighing 25 kg. If the mass of a grain of sand is less than 0.035 g, what is the number of grains of sand collected by Nadhirah in standard form?

a)

More than $7.1 \times 10^5$

b)

Less than $7.1 \times 10^5$

c)

Exactly 7.1 × 10^5

d)

$7.1 \times 10^4$

77.

The diagram below (Rajah 10) shows a circle with center O. Tangents AB and BC meet at point O. Calculate the value of ∠ABC.

a)

32°

b)

45°

c)

60°

d)

90°

78.

The diagram below (Rajah 11) shows a circle with center O. HJK is a tangent to the circle at point J. OPK and OJ are straight lines. Calculate the value of y.

a)

75°

b)

60°

c)

90°

d)

45°

79.

Rajah 12 below shows a parallelogram ABCD and O is the origin. Given AB = 17 units. Find the coordinates of point D.

a)

(14, -2)

b)

(10, 5)

c)

(17, 0)

d)

(12, -4)

80.

Rajah 12 below shows a parallelogram ABCD and O is the origin. Given AB = 17 units. Next, find the equation of the straight line CD.

a)

y = 17x/14 - 2

b)

y = 14x/17 + 2

c)

y = -17x/14 + 2

d)

y = 17x/14 + 2

Mathematics Formulas (Rumus Matematik)

Total questions: 80

Worksheet time: 40mins

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