Free Printable Remedial Math Mid Term

1.

The equation of the straight line passing through the points (-4,3) and (6,-2)

a)

$y=2x-2$

b)

$y=\frac{1}{2}x+2$

c)

$x+2y=2$

d)

$2x+y=2$

2.

find the equation of the perpendicular bisector of the line segment joining A(-5,1) and B(7,-2)

a)

$y=\frac{1}{4}x-\frac{9}{2}$

b)

$y=4x-\frac{9}{2}$

c)

$y=4x-9$

d)

$y=\frac{1}{4}x-\frac{9}{2}$

3.

A circle has center (8,3) and passes through the point P(13,5). Find the equation of the circle

a)

$\left(x-13\right)^2+\left(y-5\right)^2=\sqrt[]{29}$

b)

$\left(x-13\right)^2+\left(y-5\right)^2=29$

c)

$\left(x-8\right)^2+\left(y-3\right)^2=\sqrt[]{29}$

d)

$\left(x-8\right)^2+\left(y-3\right)^2=29$

4.

Find the radius and coordinates centre of the circle which has an equation $x^2+y^2-8x+4y+4=0$

a)

radius = 16

centre (4,2)

b)

radius = 16

centre (4,-2)

c)

radius = 16

centre (-4,2)

d)

radius = 16

centre (-4,-2)

5.

the curve $y=3\sqrt[]{x-2}$ and line $3x-4y+3=0$ intersect at the point P and Q. Find the length of PQ

a)

8

b)

9

c)

10

d)

11

6.

find the area of shaded segment

a)

$21,6\ cm^2$

b)

$4,82\ cm^2$

c)

$16,8\ cm^2$

d)

$8,42\ cm^2$

7.

Find the length of AD

a)

$1,72\ cm$

b)

$1,59\ cm^{ }$

c)

$1,95\ cm$

d)

$2,2\ cm$

8.

Find the area of a sector of a circle with radius $9\ cm$ and angle $\frac{\pi}{6}radians$

a)

$\frac{18\pi}{3}cm^2$

b)

$\frac{18\pi}{4}cm^2$

c)

$\frac{27\pi}{3}cm^2$

d)

$\frac{27\pi}{4}cm^2$

9.

an arc subtends an angle $\frac{\pi}{3}radians$ at the centre of a circle with radius $15\ cm$

Find the length of the arc

a)

$4\pi\ cm$

b)

$5\pi\ cm$

c)

$6\pi\ cm$

d)

$7\pi\ cm$

10.

a sector has an angle of $1,5\ radians$ and an arc length of $12\ cm$

Find the radius of the sector

a)

$8\ cm$

b)

$9\ cm$

c)

$10\ cm$

d)

$11\ cm$

11.

given than $\sin\theta=\frac{3}{5}$ and $\theta$ an obtuse angle. Find the value of $\tan\theta$

a)

$\frac{3}{4}$

b)

$-\frac{3}{4}$

c)

$\frac{4}{3}$

d)

$-\frac{4}{3}$

12.

given that $\tan\theta=-\frac{5}{12}$ and that $180\degree\le\theta\le360\degree$

Find the value of $\sin\theta$

a)

$\frac{5}{13}$

b)

$-\frac{5}{13}$

c)

$\frac{12}{13}$

d)

$-\frac{12}{13}$

13.

create the equivalent trigonometric function of $\frac{1+\sin x}{\cos x}+\frac{\cos x}{1+\sin x}$

a)

$\frac{1}{\cos x}$

b)

$\frac{1}{\sin x}$

c)

$\frac{2}{\cos x}$

d)

$\frac{2}{\sin x}$

14.

express $7\sin^2x+4\cos^2x$ in the form of $a+b\sin^2x$

a)

$3+3\sin^2x$

b)

$4+3\sin^2x$

c)

$3+3\sin^2x$

d)

$4+3\sin^2x$

15.

Solve the equation $4\sin^2x+8\cos x-7=0$ for $0\degree\le x\le360\degree$

a)

$30\degree\ or\ 120\degree$

b)

$30\degree\ or\ 300\degree$

c)

$60\degree\ or\ 120\degree$

d)

$60\degree\ or\ 300\degree$

Remedial Math Mid Term

Total questions: 15

Worksheet time: 8mins

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