Free Printable S2C34567 Quiz

1.

a)

$22\degree\ 36'$

b)

$20\degree\ 37'$

c)

$18\degree\ 37'$

d)

$24\degree\ 34'$

2.

a)

$41\degree\ 25'$

b)

$39\degree\ 25'$

c)

$40\degree\ 55'$

d)

$38\degree\ 55'$

3.

a)

$30.94\degree$

b)

$28.76\degree$

c)

$29.45\degree$

d)

$27.63\degree$

4.

If coefficient of $x^7\ and\ x^8$ are equal in expansion of $\left(2+\frac{x}{3}\right)^n$ , then find the value of $n$

a)

55

b)

54

c)

56

d)

57

5.

Find the value of constant term in expansion of $\left(\frac{3x^2}{2}-\frac{1}{3x}\right)^9$ , $x\ne0$ .

a)

$\frac{7}{18}$

b)

$\frac{5}{17}$

c)

$\frac{6}{17}$

d)

$\frac{5}{18}$

6.

Find the coefficients of term $4th$ in the expansion of $\left(2-\frac{x^3}{3}\right)^7$

a)

$-\frac{560}{27}x^9$

b)

$\frac{280}{81}x^9$

c)

$\frac{560}{27}x^9$

d)

$-\frac{280}{81}x^9$

7.

Coefficient for middle term in expansion of $\left(\frac{2}{x}-3xy\right)^{12}$ is (a) $y^6.$

8.

(a)

9.

Find the number of ways in which 6 men and 5 women can dine at a round table, if no two women are to sit together.

a)

$5!\times6!$

b)

$30$

c)

$5!\times4!$

d)

$5!\times\ 5!$

10.

Find the number of 6-digit number that can be formed from the digits $0,1,3,5,7\ and\ 9$ , and divisible by $10$ ( no digit is repeated.)

a)

$120$

b)

$100$

c)

$160$

d)

$150$

11.

A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of exactly 3 girls.

a)

$504$

b)

$540$

c)

$405$

d)

$450$

12.

Six boys and six girls sit along a line alternatively in $x$ ways and along a circle again in alternatively in $y$ ways), then

a)

$x=12y$

b)

$x=y$

c)

$y=12x$

d)

$x=10y$

13.

a)

$1$

b)

$21$

c)

$6$

d)

$7$

14.

There are 15 points in a plane, no two of which are in a straight line except 4, all of which are in a straight line. The number of a triangles that can be formed by using these 15 points is

a)

$451$

b)

$415$

c)

$490$

d)

$420$

15.

Find the value of

(a)

16.

How many words, with or without meaning, each of 2 vowels (a,e,i,o,u) and 3 consonants can be formed from the letters of the word DAUGHTER?

a)

$3600$

b)

$4200$

c)

$2500$

d)

$3200$

17.

(a)

18.

a)

$90$

b)

$216$

c)

$112$

d)

$84$

19.

12 distinct points lie evenly on the circumference of a circle.

Find the total number of acute angled triangles and obtuse-angled triangles that have vertices on the points.

a)

160

b)

120

c)

100

d)

180

20.

Find the possible value of $m$ for which $x^2+y^2+\left(1-m\right)x+my+5=0$ of a circle that radius cannot exceed 5.

a)

8

b)

10

c)

12

d)

14

21.

If two circles $\left(x-1\right)^2+\left(y-3\right)^2=a^2$ and $x^2+y^2-8x+2y+8=0$ intersect in two distinct points, then

a)

$2<a<8$

b)

$3<a<5$

c)

$4<a<7$

d)

$2<a<5$

22.

If the equation $\frac{m\left(x-1\right)^2}{3}+\frac{\left(y+2\right)^2}{4}=1$ represents a circle, find the value of $m$

a)

$\frac{3}{4}$

b)

$\frac{1}{2}$

c)

$\frac{2}{3}$

d)

$-\frac{1}{2}$

23.

The circle with equation $x^2+y^2-2x-y+1=0$

a)

touches only x-axis

b)

touches only y-axis

c)

passes through origin (0,0)

d)

touches both the axis x and y

24.

Find the equation of the circle .

a)

$\left(x+1\right)^2+\left(y+1\right)^2=9$

b)

$\left(x-1\right)^2+\left(y-1\right)^2=3$

c)

$\left(x+1\right)^2+\left(y+1\right)^2=3$

d)

$\left(x-1\right)^2+\left(y-1\right)^2=9$

25.

Find the number of common tangents to the circles $x^2+y^2=4$ and $x^2+y^2-6x-8y-24=0$ .

a)

$1$

b)

$0$

c)

$2$

d)

$4$

26.

Tangent to the circle A $x^2+y^2=5\$ at the point $\left(1,-2\right)$ is also touches the circle B $x^2+y^2-8x+6y+20=0$ . Find the point of contact at circle B.

a)

$\left(3,-1\right)$

b)

$\left(-3,1\right)$

c)

$\left(3,1\right)$

d)

$\left(-3,-1\right)$

27.

The equation $ax^2+2hxy+by^2+2gx+2fy+c>0$ represents a circle, only if

a)

$a=b\ne0,\ h=0,\ g^2+f^2-c>0$

b)

a = b, $a=b,\ g^2+f^2-c^{ }=0$

c)

$a=b=h\ne0,\ g=f,\ c>0$

d)

$a=b\ne0.\ h=0,\ g^2+f^2-c\ge0$

28.

Find the least (shortest) distance of point $\left(10,7\right)$ from the circle $x^2+y^2-4x-2y-20=0$ .

(a)

29.

A circle A pass through point $\left(1,1\right)$ and cuts orthogonally with two circle $x^2+y^2-8x-2y+16=0$ and $x^2+y^2-4x-4y+1=0$ . Find the center of the circle A.

a)

$\left(-\frac{7}{3},\ \frac{17}{6}\right)$

b)

$\left(\frac{5}{3},\ -\frac{15}{6}\right)$

c)

$\left(\frac{4}{3},\ -\ \frac{19}{3}\right)$

d)

$\left(\frac{5}{3},\ -\frac{22}{3}\right)$

30.

How many intersection points for the circle $\left(x-1\right)^2+\left(y+2\right)^2=4$ and line $2x+3y+14=0$

(a)

31.

What is the length of the tangent to the circle $x^2+y^2=9$ from the point $\left(4,0\right)$

a)

$\sqrt[]{7}$

b)

$\sqrt[]{5}$

c)

$\sqrt[]{6}$

d)

$\sqrt[]{11}$

32.

$P\left(25\degree S,20\degree W\right)$ $,Q,R$ are three points on the earth surface. Q is due north of $P$ . The difference in latitude between $P\ and\ Q$ is $40\degree$ . $R$ is due east of $Q$ . The difference in longitude between $Q\ and\ R$ is $50\degree$ . Find the position of $R$ .

a)

$\left(15\degree N,30\degree E\right)$

b)

$\left(15\degree N,30\degree W\right)$

c)

$\left(65\degree S,50\degree E\right)$

d)

$\left(65\degree S,\ 50\degree W\right)$

33.

a)

1800

b)

300

c)

600

d)

3600

34.

An aero plane flew from $K\left(35\degree N,47W\right)$ due east to $L\left(35\degree N,33\degree E\right)$ , find the distance of travel in nautical miles.

a)

3932

b)

2753

c)

2400

d)

688

35.

(Maths2) The are 10 dots on a plane, and 3 dots are collinear. Find the number of triangle can be formed by linking any 3 dots on the plane.

在一平面上有十点，其中三点是在一条直线上。取此十点中的任意三点为顶点，求所形成的三角形的最高数目?

a)

119

b)

116

c)

121

d)

124

36.

(Maths2) A teacher wants to choose 5 students from a group of 5 boys and 4 girls to form a committee. Find the number of ways the team can be formed if there are more boys than girls and at least one girl in the committee.

5 人从5男4女中选出，出任委员会。要求委员会最少有1女和男生多于女生，问共有多少种选法?

a)

80

b)

76

c)

71

d)

66

37.

(Maths2) Find the value of equation above.

a)

$2^{50}-1276$

b)

$2^{50}\ -1275$

c)

$2^{50}\ -51$

d)

$2^{50}-50$

38.

(Maths2) There are 4 defect products out of 100. Find the ways of at least 3 defect products if there are 5 products being selected randomly for inspection.

100 件产品中，有96件正品，4件次品。从中任意抽取5件进行检测，至少有3件次品的抽法有多少种？

a)

45126

b)

44650

c)

45125

d)

44651

39.

(Maths2) There is a total of 4 men and 5 women. 2 men and 2 women are selected respectively, and then assign with following position; Chairman, Vice-chairman, secretary, and treasurer. How many way for the selection?

2男2女个别从4男5女中选出，然后担任主席，副主席，秘书和财政。请问有多少种选法？

a)

1440

b)

360

c)

720

d)

1080

40.

(Maths2) 4 students are arranged to participate in an event. How many way of attendance if there is possible of nobody to attend.

4名学生被安排参加一项活动。一共有几种出席的方法，如果在最差的情形下，可能没人出席。

a)

16

b)

15

c)

18

d)

24

S2C34567 Quiz

Total questions: 40

Worksheet time: 10hrs 0mins

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