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WorksheetsMATH REVISION F4
Total questions: 90
Worksheet time: 2hrs 39mins
What type of set is denoted as either { } or ∅?
Manakah jenis set yang berikut ditulis sebagai { } atau ∅?
Superset
Disjointed Set
Empty (or Null) Set
Set kosong atau null set
Subset
A = {x : x is a letter in the word SEAT}
B = {x : x is a letter in the word TASTE}
Determine if these two sets are equal or equivalent.
A = {x: x ialah huruf dalam perkataan SEAT}
B = {x: x ialah huruf dalam perkataan TASTE}
Tentukan sama ada dua set ini adalah sama.
Not equal because SEAT has 4 letters and TASTE has 5 letters.
Tidak sama kerana SEAT mempunyai 4 huruf dan TASTE mempunyai 5 huruf.
Equivalent because they have the same letters
Sama kerana mereka mempuntai huruf yang sama.
Equal because each set has the same cardinality and the same letters.
Sama kerana kedua-dua set ada bilangan unsur yang sama dan semua huruf yang sama.
Not equal because both set has not same cardinality.
Tidak sama kerana bilangan unsur dalam kedua-dua set tidak sama.
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?
Jika A = {1, 3, 5, 7, 9} dan B = {2, 3, 5, 7}, apakah A ∪ B?
{3, 5, 7}
{2, 3, 5, 7}
{2, 3, 5, 7, 9}
{1, 2, 3, 5, 7, 9}
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?
Jika A = {1, 3, 5, 7, 9} dan B = {2, 3, 5, 7}, apakah A ∩ B?
{3, 5, 7}
{2, 3, 5, 7}
{2, 3, 5, 7, 9}
{1, 2, 3, 5, 7, 9}
The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?
{-4, -3, -2, -1, 0, 1, 2, 3}
{-3, -2, -1, 1, 2, 3}
{-4, -3, -2, -1, 1, 2, 3, 4}
{-4, -3, -2, -1, 1, 2, 3}
If / Jika
P = {0, 1, 2, 3, 4}, Q = {4, 6, 8} dan R = {6, 12, 18} .
Then what is (P ∩ Q) ∪ (Q ∩ R)?
Apakah (P ∩ Q) ∪ (Q ∩ R)?
{4}
{4, 6}
{4, 6, 8}
{1, 2, 3, 4, 6, 8}
If / Jika
A = {1, 3, 5, 15},
B = {2, 3, 5, 7}
C = {2, 4, 6, 8}
then what is (A U B) ∩ C ?
apakah (A U B) ∩ C ?
{1,3,5}
{1,2,3}
{2,3,5}
{2}
From the above Venn diagram, what is the set S ∩ T?
Daripada rajah Venn di atas, apakah set S ∩ T?
{casey, drew, jade, glen}
{alex, casey, drew,hunter}
{casey, drew}
{drew, jade}
From the above Venn diagram, what is the set
(S ∪ T) ∩ V?
Daripada rajah Venn di atas, apakah (S ∪ T) ∩ V?
{casey, drew, jade, glen}
{alex, glen, hunter, jade}
{casey, drew, glen}
{drew, jade}
Which of the following represents the shaded region?
Manakah antara yang berikut mewakili rantau berlorek di atas?
A union B
A kesatuan B
A intersect B
A persilangan B
A ⊂ B
B ⊂ A
List the elements of A.
Senaraikan unsur bagi A.
{2,3}
{2,3,5,9}
{1,2,3,4,5}
{5,9}
For the given sets A and B, which statement is true?
Bagi set A dan B yang diberi, manakah pernyataan berikut benar?
A ⊂ B
B ⊂ A
A = B
A' = B
Use the Venn diagram to identify the statement that is true.
Tentukan pernyataan yang benar bagi rajah Venn yang diberi.
2 ∈ P ∩ Q
5 ∈ Q
{5,7} ⊆ P
P U Q = Q
List the elements of (A U B)'.
Senaraikan unsur bagi (A U B)'.
{1,4}
{2,3,5,6,7,8,9}
{2,3,6,7,8}
{5,9}
List the elements of A ∩ B'.
Senaraikan unsur bagi A ∩ B'.
{2,3}
{5,9}
{2,3,6,7,8}
{1,2,3,4,5,6,7,8}
If every element in set A is also in set B, then
Jika setiap unsur dalam set A juga dalam set B, maka
A is a subset of B
A ialah subset bagi B
B is a subset of A
B ialah subset bagi A
A = B
A and B are disjoint
A dan B ialah tak berhubung
Every set has _____ as one of its subsets.
(select all that apply.)
Setiap set mempunyai _______ sebagai salah satu subset.
(pilih semua yang berkaitan)
∅
0
itself
set itu sendiri
the real numbers
nombor nyata
Set Q contains the letters in the word SISTER .
Which of the following is set Q ?
Set Q mengandungi semua huruf dalam perkataan SISTER.
Manakah antara yang berikut ialah set Q?
Q = { S, T, R }
Q = { I, E }
Q = { S, I, S, T, E, R }
Q = { S, I, T, E, R }
Given that
R = { factors of 36 }. n(R) =
Diberi R = {faktor bagi 36}. n(R) =
6
9
12
15
Given S = { m, 4, 7, 9 } and T = { 4, 9, 3, n }.
If S = T, the value of m + n =
Diberi S = { m, 4, 7, 9 } dan T = { 4, 9, 3, n }.
Jika S = T, nilai bagi m + n =
14
12
10
8
Given that set V = { m, n, o, p },
find the number of subsets V.
Diberi set V = {m, n, o, p},
cari bilangan subset bagi V.
16
12
10
8
Venn diagram given shows the relation between set P, Q and R.
Which of the following represents the shaded area?
Rajah Venn yang diberi menunjukkan hubungan antara set P, Q and R.
Manakah antara yang berikut mewakili rantau berlorek?
P' ∪ R' ∪ Q
( P ∪ R )' ∩ Q
Q ∩ ( P ∩ R )'
R' ∩ Q' ∩ P'
The Venn diagram given shows the number of elements in set K, L and M.
If n(K∩M)=n(M′) , calculate the value of y.
Rajah Venn dalam rajah diberi menunjukkan bilangan unsur dalam set K, L dan M.
8
7
6
3
List all the subsets of G.
Senaraikan semua subset bagi G.
{ 3, 7 }
{ } , { 3 } , { 7 }
{ 3 } , { 7 } , { 3, 7 }
{ } , { 3 } , { 7 } , { 3, 7 }
Given that ξ=P∪Q∪R, R⊂P, Q∩R=ϕ, n(P∩Q)=0 Which of the following matches the information above?
Diberi ξ=P∪Q∪R, R⊂P, Q∩R=ϕ, n(P∩Q)=0 Manakah antara yang berikut memadankan informasi di atas?
E={x:x ialah nombor kuasa dua sempurna, 1≤x≤10}
E={x:x is perfect square, 1≤x≤10}
9 ϵ E
8 ϵ E
F={a,b}. Senaraikan semua subset bagi F
F={a,b}. List down all of the subsets of set F
{a},{b},{a,b}
{ },{a},{b},{a,b}
Faktorkan selengkapnya
3x² + 11x - 4
(3x + 2)(x - 2)
(3x - 2)(x +2)
(3x + 4)(x - 1)
(3x - 1)(x + 4)
Faktorkan selengkapnya
2 - 18y²
2(-18y²)
2(1 - 9y²)
2(1 + 3y)(1 - 3y)
2(p + 9y)(p - y)
Kembangkan
x(x + 3) + 4x(x - 1)
x(5x - 1)
5x(-1)
X(5x + 1)
x(x - 5)
1101012 - 101102 = 1m1n12
Cari nilai m dan n
m = 0, n = 0
m = 0, n = 1
m = 1, n = 0
m = 1, n = 1
a2 - b2 = (a-b)(a+b)
P∩Q ′
Varians bagi lima nombor positif ialah 8 dan hasil tambah kuasa dua nombor-nombor itu ialah 285. cari min lima nombor itu
7
6
5
4
Yang manakah antara berikut persamaan kuadratik dalam bentuk am?
x2−5x=12
−2+5x2−6x=0
3p2−7p+3=0
(x−2)(x+6)=0
Tentukan julat (range) bagi set data berikut :
13, 35, 33, 47, 38, 37, 42, 16, 14
29
34
33
25
Tentukan kuartil ketiga ( Q3 ) bagi set data berikut :
13, 35, 33, 47, 38, 37, 42, 16, 14
35
40
41
47
If x = 5, then 2x + 1 = 11.
What is the inverse of the above implication?
Jika x = 5, maka 2x + 1 = 11.
Apakah songsangan bagi implikasi di atas?
If 2x + 1 ≠ 11, then x = 5.
Jika 2x + 1 ≠ 11, maka x = 5.
If x ≠ 5, then 2x + 1 ≠ 11.
Jika x ≠ 5, maka 2x + 1 ≠ 11.
If 2x + 1 ≠ 11, then x ≠ 5.
Jika 2x + 1 ≠ 11, maka x ≠ 5.
If x = 5, then 2x + 1 ≠ 11.
Jika x = 5, maka 2x + 1 ≠ 11.
If x = 5, then 2x + 1 = 11.
What is the contrapositive of the above implication?
Jika x = 5, maka 2x + 1 = 11.
Apakah kontrapositif bagi implikasi di atas?
If 2x + 1 ≠ 11, then x = 5.
Jika 2x + 1 ≠ 11, maka x = 5.
If x ≠ 5, then 2x + 1 ≠ 11.
Jika x ≠ 5, maka 2x + 1 ≠ 11.
If 2x + 1 ≠ 11, then x ≠ 5.
Jika 2x + 1 ≠ 11, maka x ≠ 5.
If x = 5, then 2x + 1 ≠ 11.
Jika x = 5, maka 2x + 1 ≠ 11.
Determine the antecedent of the implication
"If k is an even number, then 3k is an even number."
Tentukan antejadian bagi implikasi
"Jika k ialah nombor genap, maka 3k ialah nombor genap."
k is an even number
k ialah nombor genap
3k is an even number
3k ialah nombor genap
If k is an even number
Jika k ialah nombor genap
then 3k is an even number
maka 3k ialah nombor genap
Determine the consequence of the implication
"If k is an even number, then 3k is an even number."
Tentukan akibat bagi implikasi
"Jika k ialah nombor genap, maka 3k ialah nombor genap."
k is an even number
k ialah nombor genap
3k is an even number
3k ialah nombor genap
If k is an even number
Jika k ialah nombor genap
then 3k is an even number
maka 3k ialah nombor genap
Write the converse of the following implication.
"If x = 3, then 2x –1 = 5."
Tulis akas bagi implikasi berikut.
"Jika x = 3, maka 2x –1 = 5."
If x < 3, then 2x –1 < 5.
Jika x < 3, maka 2x –1 < 5.
If x > 3, then 2x –1 > 5.
Jika x > 3, maka 2x –1 > 5.
If 2x –1 = 5, then x = 3.
Jika 2x –1 = 5, maka x = 3.
If 2x –1 > 5, then x < 3.
Jika 2x –1 > 5, maka x < 3.
Find the distance travel.
38
39
40
41
The diagram above shows the speed-time graph of a moving object for 15 seconds. State the length of time in s, the particle move with constant speed.
3
6
9
12
The diagram above shows the speed-time graph of a moving object for 15 seconds. Calculate the rate of change of speed, in ms^-2, in the first 3 seconds.
1
2
3
4
The diagram above shows the speed-time graph of a moving object for 15 seconds. Calculate the average speed of the object.
3.0
3.5
4.0
4.5
The diagram above shows the speed-time graph of a moving car for 5 seconds. Find the rate of speed change when the car travel from X to Y.
-15/4
15/4
-15/2
15/2
Find the total distance travel for the whole journey.
60
65
70
75
Calculate the value of v, if the total distance travelled for the period of 40 seconds is 500m
12
13
14
15
State the time when the object is stationary.
3
6
12
15
Pn. Hidayah wants to prepare fish and prawn dishes in conjuction with the Hari Raya celebration. The cost of a kilogram of mackeral is RM22 and a kilogram of prawns in RM40. Pn. Hidayah wants to spend RM200 to buy fish and prawns. Which linear inequalities best represent the situation?
22x + 40y > 200
11x + 20y ≤ 100
11x < 200
100 < 11x + 20y
Mr. Chong wants to rear chickens and ducks on a small scale to generate some extra income for managing his growing family expenses. A chick costs RM2 and a duckling costs RM1.50. Mr. Chong has a capital of RM500 to purchase the chicks and ducklings. Represent the situation in the form of linear inequality.
1.5y ≤ 500 + 2x
2x - 1.5y ≤ 500
2x > 1.5y + 500
2x + 1.5y ≤ 500
State the linear inequality that satisfy the shaded region as shown in the given diagram.
y < 32x + 2
y > 32x + 2
y > 32x − 2
y <3 2x − 2
State the linear inequality that satisfy the shaded region as shown in the diagram.
x > -3
x < -3
x > 3
x < 3
State the linear inequality that satisfy the shaded region as shown in the diagram.
y ≥ −2x − 2
y ≥ 2x − 2
y ≤ −2x − 2
y > −2x − 2
State the linear inequality that satisfy the shaded region in the diagram shown.
y ≤ −2
y < −2
y ≥ −2
y > −2
Semua dibawah adalah ungkapan kuadratik dengan satu pembolehubah KECUALI
2x2+8x+8
x2
3−2x2
8x+x
ax2−bx+y bukan ungkapan kuadratik dengan satu pembolehubah kerana
kuasa tertingginya bukan dua
mempunyai dua pembolehubah
kuasa tertingginya dua
mempunyai satu pembolehubah
bentuk am fungsi kuadratik ialah
f(x)=ax2+bx+c
ax2+bx+c
y=mx+c
a2b
nilai pintasan y bagi ungkapan kuadratik 3x2+15x+18 ialah
3
18
15
215
Wujudkah graf kuadratik tanpa paksi simetri?
Ya
Tidak
Cari nilai-nilai pintasan x bagi fungsi kuadratik x2−3x−25=3
x=−7 dan 4
x=−4 dan 7
x=5 dan −5
x=5
Sebuah kuboid yang mempunyai luas tapak 3x cm2 dan tinggi (x+30) cm . ungkapkan persamaan isipadu kuboid itu, V dalam sebutan x.
V=3x2+90x−3
V=3x2+90x
V=x2+3x+30
V=x2+30x
8 batang pen merah dan 12 batang pen biru dimasukkan kedalam sebuah beg. Sebatang pen dipilih secara rawak dari beg itu. Cari kebarangkalian bahawa sebatang pen biru dipilih.
8
12
1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9
Nyatakan kebarangkalian bahawa satu nombor ganjil diambil.
1 , 3 , 5 , 7 , 9
3 , 5 , 7 , 9
S P M 2 0 1 7
Rajah 1
Jika sekeping kad dikeluarkan secara rawak daripada beg itu, cari kebarangkalian bahawa satu nombor dikeluarkan.
23 33 42 27 31 Rajah 2
Kebarangkalian mengambil kad dengan nombor digit 3 ialah
K A L K U L A T O R
Sekeping kad dipilih secara rawak.
Cari kebarangkalian bahawa kad berlebel L dipilih.
