MATHEMATICS 1-5 53 CHAPTERS

Question 1

Beza dua nombor bulat

Answer 1

Beza = Nombor Lebih Besar - Nombor Lebih Kecil

Question 2

Peratus

Answer 2

Peratus = (Bahagian ÷ Jumlah Keseluruhan) × 100%

Question 3

Penukaran Perpuluhan ke Peratus

Answer 3

Peratus = Perpuluhan × 100%

Question 4

Kadar

Answer 4

Kadar = Kuantiti ÷ Masa

Question 5

Jumlah sudut dalam poligon

Answer 5

Jumlah Sudut = (Bilangan Sisi - 2) × 180°

Question 6

Perimeter segi empat tepat

Answer 6

Perimeter = 2 × (Panjang + Lebar)

Question 7

Luas segi tiga

Answer 7

Luas = ½ × Asas × Tinggi

Question 8

Isipadu kubus

Answer 8

Isipadu = Sisi × Sisi × Sisi

Question 9

Isipadu kuboid

Answer 9

Isipadu = Panjang × Lebar × Tinggi

Question 10

Hukum Indeks

Answer 10

a^m × a^n = a^(m+n); a^m ÷ a^n = a^(m−n); (a^m)^n = a^(mn)

Question 11

Punca Kuasa

Answer 11

a^(1/n) = √[n]{a}; a^(m/n) = √[n]{a^m}

Question 12

Barisan Aritmetik

Answer 12

a_n = a_1 + (n - 1)d; S_n = n/2 × [2a_1 + (n - 1)d]

Question 13

Barisan Geometrik

Answer 13

a_n = a_1 × r^(n-1); S_n = a_1 × (1 - r^n) / (1 - r)

Question 14

Purata (Min)

Answer 14

Purata = Jumlah nilai / Bilangan nilai

Question 15

Median

Answer 15

Median = Nilai tengah data teratur

Question 16

Kebarangkalian

Answer 16

P(A) = Bilangan Keputusan A / Jumlah Keputusan

Question 17

Ungkapan Algebra

Answer 17

(a + b)^2 = a^2 + 2ab + b^2; (a - b)^2 = a^2 - 2ab + b^2; (a + b)(a - b) = a^2 - b^2

Question 18

Persamaan Linear

Answer 18

ax + b = 0 → x = -b/a

Question 19

Graf Linear

Answer 19

y = mx + c; m = (y2 - y1) / (x2 - x1)

Question 20

Kesebangunan

Answer 20

AB/DE = BC/EF = faktor skala

Question 21

Jumlah Sudut Segitiga

Answer 21

Jumlah Sudut = 180°

Question 22

Keliling Bulatan

Answer 22

K = 2πr

Question 23

Luas Bulatan

Answer 23

L = πr²

Question 24

Teorem Pythagoras

Answer 24

c² = a² + b²

Question 25

Luas Permukaan Prisma

Answer 25

Luas Permukaan = 2 × Luas Tapak + Luas Sisi Tegak

Question 26

Isipadu Prisma

Answer 26

Isipadu = Luas Tapak × Tinggi

Question 27

Luas Permukaan Silinder

Answer 27

Luas Permukaan = 2πr² + 2πrh

Question 28

Isipadu Silinder

Answer 28

Isipadu = πr²h

Question 29

Graf Fungsi Linear

Answer 29

y = mx + c; m = (y2 − y1) ÷ (x2 − x1)

Question 30

Persamaan Linear Serentak

Answer 30

Selesaikan guna kaedah penggantian atau penghapusan

Question 31

Ungkapan Kuadratik

Answer 31

(x + a)(x + b) = x² + (a + b)x + ab

Question 32

Persamaan Kuadratik

Answer 32

ax² + bx + c = 0

Question 33

Rumus Kuadratik

Answer 33

x = (-b ± √(b² - 4ac)) / 2a

Question 34

Statistik

Answer 34

Min = Jumlah nilai ÷ bilangan nilai

Question 35

Julat

Answer 35

Julat = Nilai Maksimum − Nilai Minimum

Question 36

Min Tertimbang

Answer 36

Min = (∑wx) / ∑w

Question 37

Kebarangkalian Bergabung

Answer 37

P(A dan B) = P(A) × P(B|A)

Question 38

Kebarangkalian Bebas

Answer 38

P(A dan B) = P(A) × P(B)

Question 39

Jarak antara dua titik

Answer 39

Jarak = √[(x2 - x1)² + (y2 - y1)²]

Question 40

Titik tengah

Answer 40

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

Question 41

Kecerunan Garis

Answer 41

m = (y2 - y1)/(x2 - x1)

Question 42

Persamaan Garis Lurus

Answer 42

y = mx + c

Question 43

Fungsi Linear

Answer 43

f(x) = ax + b

Question 44

Fungsi Kuadratik

Answer 44

f(x) = ax² + bx + c

Question 45

Paksi Simetri

Answer 45

x = -b / 2a

Question 46

Puncak Fungsi

Answer 46

x = -b / 2a, y = f(-b / 2a)

Question 47

Logaritma

Answer 47

logₐ(mn) = logₐm + logₐn; logₐ(m/n) = logₐm - logₐn

Question 48

Ketaksamaan

Answer 48

Contoh: 3x - 4 < 2x + 5 → x < 9

Question 49

Transformasi

Answer 49

Translasi: [x y]; Penskalaan: skala imej ÷ objek

Question 50

Matriks (2×2)

Answer 50

|A| = ad - bc; A⁻¹ = (1/det) × [d -b; -c a]

Question 51

Trigonometri

Answer 51

sin θ = bertentangan / hipotenus; cos θ = hampiran / hipotenus; tan θ = bertentangan / hampiran

Question 52

Hukum Sini

Answer 52

a/sin A = b/sin B = c/sin C

Question 53

Hukum Kosinus

Answer 53

c² = a² + b² - 2ab cos C

Question 54

Luas Segitiga

Answer 54

Luas = ½ab sin C

Question 55

Gerakan Melingkar

Answer 55

v = rω; s = rθ

Question 56

Radian ke Darjah

Answer 56

1 rad = 180° / π

Question 57

Min Kumpulan

Answer 57

Min = ∑fx / ∑f

Question 58

Graf Fungsi Trigonometri

Answer 58

y = a sin(bx); amplitud = |a|; tempoh = 360°/b

Question 59

Skor Piawai

Answer 59

z = (x - μ) / σ

Question 60

Pembezaan

Answer 60

Jika y = axⁿ, maka dy/dx = anxⁿ⁻¹

Question 61

Kadar Perubahan

Answer 61

dy/dt = (dy/dx)(dx/dt)

Question 62

Nilai Maksimum/Minimum

Answer 62

dy/dx = 0