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WorksheetsMATHEMATICS Quiz
Total questions: 161
Worksheet time: 7hrs 4mins
What is the formula to solve a quadratic equation?
10 / 5
(-b ± √(b² - 4ac)) / (2a)
2 + 3
√(16)
Solve the quadratic equation: 2x^2 + 5x - 3 = 0
x = 0.5 or x = -3
x = 2 or x = -2
x = 1 or x = -3
x = 3 or x = -4
What is the difference between probability and statistics?
Probability is used for qualitative data, while statistics is used for quantitative data
Probability and statistics are the same thing
Probability deals with the likelihood of events, while statistics deals with the analysis and interpretation of data.
Probability is used for predicting future events, while statistics is used for analyzing past events
If the probability of an event A is 0.4, what is the probability of its complement?
0.4
1.0
0.6
0.2
What is the mean of the following data set: 5, 7, 9, 11, 13?
15
7
13
9
What is the median of the following data set: 3, 5, 7, 9, 11?
9
7
5
3
What is the mode of the following data set: 2, 3, 4, 4, 5, 6, 6, 6, 7?
5
4
7
6
What is the range of the following data set: 10, 15, 20, 25, 30?
20
15
25
5
What is the probability of rolling a 5 on a fair six-sided die?
1/6
2/5
1/2
1/3
If two events are independent, what is the probability of both events occurring?
The average of the probabilities of the two events
The sum of the probabilities of the two events
The maximum of the probabilities of the two events
The product of the probabilities of the two events
What is the discriminant of a quadratic equation and how is it used to determine the nature of the roots?
It is the sum of the roots of the quadratic equation
It is used to determine the color of the roots
It is used to determine the nature of the roots by analyzing its value.
It is the coefficient of the x-term in the quadratic equation
What is the difference between a theoretical probability and an experimental probability?
Theoretical probability is used in real-life situations, while experimental probability is only used in theoretical scenarios.
Theoretical probability is always accurate, while experimental probability is always inaccurate.
Theoretical probability is based on mathematical calculations and predictions, while experimental probability is based on actual outcomes from experiments or observations.
Theoretical probability is based on guessing, while experimental probability is based on luck.
What is the standard deviation of the following data set: 4, 6, 8, 10, 12?
7
2
3
5
What is the variance of the following data set: 1, 3, 5, 7, 9?
8
10
3
15
What is the probability of drawing a red card from a standard deck of 52 playing cards?
1/3
3/4
1/2
1/4
Simplify.
A
B
C
D
Simplify.
A
B
C
D
Simplify.
A
B
C
D
If A = {1,2,3}, B = {3,4,5}, C = {5,6,7}, find A U B U C.
{1,2,3,4,5,6,7}
{1,2,3,4,5,6,7,8}
{1,2,3,3,4,5,5,6,7}
{3,4,5}
If A= {10,20,30,40},B={20,40,60} and C = {10,20,40,60,80}, find A Ո B Ո C
{20,40}
{20,40,60}
{10,20,30,40,50,60,80}
{10,20,30,...}
List the elements of A
{2,3}
{2,3,5,9}
{1,2,3,4,5}
{5,9}
List the elements of A Ո B
{5,9}
{2,3,7,6,8}
{2,3,5,9,7,6,8}
{1,4}
For the given sets A and B, which statement is true?
A ⊂ B
B ⊂ A
A = B
A' = B
Use the Venn diagram to identify the statement that is true.
2 ∈ P ∩ Q
5 ∈ Q
{5,7} ⊆ P
P U Q = Q
List the elements of (A U B)'
{1,4}
{2,3,5,6,7,8,9}
{2,3,6,7,8}
{5,9}
List the elements of B
{4,5,6,7,8,9,10,11}
{4,6,7,8}
{9,5,10,11}
{4,5,6,7,8,9,10}
List the elements of A ∩ B'
{2,3}
{5,9}
{2,3,6,7,8}
{1,2,3,4,5,6,7,8}
If U = {2,3,5,7,11,13} and C = {2,3,5}, find C'
{7,11,13}
{7,9,11,13}
{2,3,5}
U
Rajah di sebelah menunjukkan gambar rajah Venn dengan set semesta, ξ=P∪Q∪R.
Senaraikan semua element set P'.
{3, 4}
{3, 4, 7}
{3, 4, 5, 7}
{3, 4, 5, 6, 7}
Rajah di sebelah ialah gambar rajah Venn dengan keadaan set universal , ξ=P∪Q∪R.
Set manakah yang mewakili kawasan berlorek
(P∩Q)∪R
P∩(Q∪R)
(P∪Q)∩R
P∪(Q∩R)
Rajah di sebelah ialah gambar rajah Venn yang menunjukkan bilangan unsur dalam set M, set S dan set P. Set semesta ξ=M∪S∪P.
Diberi n(M∪S)=n(P), cari nilai x.
8
9
16
18
Diberi bahawa
Senaraikan semua unsur bagi set R'.
{1, 2, 3}
{5, 6, 7}
{1, 2, 3, 4}
{4, 5, 6, 7}
Rajah di sebelah menunjukkan gambar rajah Venn dengan set semesta, ξ=K∪L∪M.
Senaraikan semua unsur bagi set K′∩L.
{1, 2}
{6, 7}
{3, 4, 5}
{5, 6, 7}
Rajah di sebelah ialah gambar rajah Venn yang menunjukkan unsur-unsur bagi set semesta, ξ, set P dan set Q.
Senaraikan semua unsur bagi set Q'.
{r, s}
{t, u, v}
{r, s, t, u}
{r, s, t, u, v}
Rajah di sebelah ialah gambar rajah Venn yang menunjukkan bilangan unsur dalam set semesta ξ, set K, set L dan set M.
Diberi n(L)=n(K∪M)′, cari nilai n(ξ).
37
40
49
54
Gambar rajah Venn manakah yang mewakili set P⋃Q⋂R ?
Rajah di sebelah ialah gambar rajah Venn dengan set semesta ξ=P∪Q∪R.
Operasi bergabung ke atas set P, Q dan R yang manakah set kosong?
(P∩Q)′∩R
(P∩Q)′∩R′
(P∪Q)′∩R
(P∪Q)′∩R′
Dalam sebuah bandar terdapat 15 000 keluarga. Satu kajian mengenai pilihan keluarga terhadap kesukaan mereka membeli surat khabar P, Q dan R telah dijalankan. Dalam satu kajian itu, didapati 40% keluarga membeli surat khabar jenis P, 20% membeli surat khabar Q dan 10% membeli surat khabar R. Daripada jumlah itu, 5% membeli surat khabar P dan Q, 3% membeli surat khabar Q dan R, 4% membeli surat khabar P dan R manakala 2% membeli ketiga-tiga surat khabar itu.
Cari bilangan keluarga yang membeli surat khabar P sahaja.
7650
6000
4950
4350
Rajah di sebelah ialah gambar rajah Venn yang menunjukkan set P, set Q dan set R dengan keadaan set semesta, ξ=P∪Q∪R.
Antara yang berikut, yang manakah mewakili kawasan berlorek?
(P∩Q)′∩R
(P∩Q)′∪R
P′∩(Q∩R)
P′∩(Q∪R)
Rajah di sebelah ialah satu gambar rajah Venn dengan set semesta, ξ=M⋃R⋃G, set M={Murid suka memasak}, set R={Murid suka membaca}, dan set G={Murid suka menyanyi}.
Diberi bahawa n(M)=20, n(R)=60 dan n(G)=17.
Cari bilangan murid yang tidak suka membaca.
15
22
42
48
Rajah di sebelah ialah gambar rajah Venn yang menunjukkan bilangan ahli bagi tiga kelab sukan.
Diberi bahawa bilangan ahli Kelab Hoki adalah 61 bilangan ahli Kelab Renang.
Hitung bilangan ahli Kelab Golf sahaja.
25
42
127
134
Rajah di sebelah menunjukkan sebuah gambar rajah Venn dengan set semesta ξ, set P, set Q dan set R.
Antara yang berikut, manakah yang mewakili kawasan berlorek?
(R∩Q′)∩P′
(R∩Q)∩P′
(R∪Q)∩P′
(R∪Q′)∩P′
Jadual di sebelah menunjukkan permainan yang telah dipilih oleh 50 orang murid.
Diberi bahawa set H={murid memilih hoki}, set R={murid memilih ragbi} dan set F={murid yang memilih bola sepak}.
Antara berikut, gambar rajah Venn manakah yang mewakili maklumat dalam jadual di sebelah?
Satu kajian yang dijalankan ke atas 48 orang murid menunjukkan terdapat 26 orang murid suka warna merah dan 24 orang murid suka warna biru. Terdapat 5 orang murid tidak menyukai kedua-dua warna itu.
Cari bilangan murid yang suka kedua-dua warna merah dan biru.
2
7
36
40
Which of the following is not a quadratic equation
x2 + 3 x – 5 = 0
x2 + x3 + 2 = 0
3 + x + x2 = 0
x2 – 9 = 0
The quadratic equation has degree
0
1
2
3
The polynomial equation x (x + 1) + 8 = (x + 2) (x – 2) is
linear equation
quadratic equation
cubic equation
none of the above
The equation (x – 2)² + 1 = 2x – 3 is a
linear equation
quadratic equation
cubic equation
none of these
The quadratic equation whose one of the roots is 1:
2x² + x – 1 = 0
2x² – x – 1 = 0
2x² + x + 1 = 0
2x² – x + 1 = 0
The equation 2x² + kx + 3 = 0 has two equal roots, then the value of k is
±√6
± 4
±3√2
±2√6
The sum of the roots of the quadratic equation 3x2 – 9x + 5 = 0 is
3
6
-3
2
If one root of the equation x² + p x + 12 = 0 is 4, while the equation x² + p x + q = 0 has equal roots, the value of q is
49/4
4/49
4
49
p and q are the roots of 4x² + 3x + 7 = 0, then the value of (1/p) + (1/q) :
-3/7
-3/4
3/7
7/4
If the roots of p x 2 + q x + 2 = 0 are reciprocal of each other, then p is :
0
-2
+2 & -2
+2
The equation 12 x² + 4 k x + 3 = 0 has real and equal roots, if k is :
+3 & -3
+9 & -9
4
+2 & -2
Which of the following are the roots of the quadratic equation, x² – 9 x + 20 = 0 by factorization?
3,4
4,5
5,6
6,1
The value of k for which the equation x² + 2(k + 1)x + k² = 0 has equal roots is :
-1
-1/2
1
none of these
If x = 2 is a solution of the equation x² – 5 x + 6 k = 0, the value of k is ______ .
-1
+1
+1 & -1
none of these
If α + β = 4 and α3 + β3 = 44, then α , β are the roots of the equation
2 x² – 7 x – 7 = 0
3 x² + 8 x + 12 = 0
3 x² – 12 x + 5 = 0
none of these
The pass mark for the test was 20. What fraction of the students passed the test?
17/20
3/8
3/17
3/20
Which graph represents an inverse proportion relationship?
Given that y is inversely proportional to x, what is the general equation?
Which statement best describes an inverse proportion relationship between y and x?
y increases then x will decrease
y increases then x will increase
y increases then x will remain the same
y decreases then x will decrease
In the great Amazon forest, the number of hunters, y and the number of animals, x. Is this relationship an inverse proportion relationship?
No
Yes
I don't know
6 men can paint a building in 15 days. Find the number of days taken for 5 men to paint the same building.
10
14
18
22
It is given that p is inversely proportional to . When p is 20, q is 8. Find an equation connecting p and q.
If 8 men can assemble 28 cars in one day, how many cars can 20 men assemble in one day?
60
70
80
90
Given the above relationship, find the value of x when y=6.
x=6
x=-6
x=-6 or +6
x=4
Given that y is inversely proportional to x and y =0.25 when x =4, find the value of y when x =5.
0.1
0.2
1
2
Ten identical pipes turned on simultaneously can fill a swimming pool in 9 hours. How long will it take 6 pipes to fill the same swimming pool?
12
13
14
15
The length of a violin string varies inversely with the frequency of its vibrations. A 14-inch long violin string vibrates at a frequency of 450 cycles per second.
Find the frequency of a 12-inch violin string.
A) 526
B) 524
C) 525
D) 523
What is the measure of the angle "?"
70º
90º
105º
210º
What is the value of x?
x = 160º
x = 40º
x = 80º
x = 26.7º
Find the value of the angle marked x....
40
45
50
60
Find the value of the angle marked x....
50
100
80
45
What is the value of the missing angle "?"
62º
56º
50º
46º
Which is the correct way to solve this?
x = 70º/2
x = 180º/2
x=(180º+70º)/2
x=(180º-70º)/2
Find the value of the angle marked x....
102
51
129
78
Segment HJ is a radius.
Segment HJ is a radius.
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
Solve the following simultaneous linear equations.
Selesaikan persamaan linear serentak berikut.
3p−5q=4
p=8,q=4
p=8,q=−4
p=−8,q=4
p=−8,q=−4
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
