Free Printable 5th Year Maths Test: The Circle

1.

What is the equation of the circle with centre (0,0) and radius 5.

a)

$x^2\ +\ y^2\ =\ 5$

b)

$x^2\ +\ y^2\ =\ 25$

c)

$x^2\ +\ y^2\ =\ 15$

d)

$x^2\ +\ y^2\ =\ 20$

2.

What is the equation of the circle with centre (0,0) and radius 7.

a)

$x^2+y^2=12$

b)

$x^2+y^2=7$

c)

$x^2+y^2=49$

d)

$x^2+y^2=0$

3.

What is the equation of the circle with centre (2,3) and radius 4.

a)

$(x-2)^2+(y-3)^2=4$

b)

$x^2+y^{2\ }=\ 4$

c)

$(x-2)^2+(y-3)^2=16$

d)

$x^2+y^{2\ }=\ 16$

4.

What is the equation of the circle with centre (-4,5) and radius 10.

a)

$(x-4)^2+(y-5)^2=10$

b)

$(x-4)^2+(y\ +\ 5)^2=100$

c)

$(x+4)^2+(y-5)^2=10$

d)

$(x+4)^2+(y-5)^2=100$

5.

$x^2+y^2=16$

What is the radius of the circle?

a)

16

b)

4

c)

8

d)

2

6.

What is the centre of this circle?

x^2+\ y^2\ =\ 144

a)

(0,0)

b)

(12, 12)

c)

144

d)

12

7.

$\left(x+2\right)^2+\left(y-4\right)^2=36$
What is the value of "h" from the centre (h, k)?

a)

2

b)

4

c)

36

d)

-2

8.

Which point(s) lies ON the circle?

a)

A

b)

B

c)

C

d)

D

9.

What is the length of the radius of this circle?

(a)

10.

What is the length of the radius of this circle?

(a)

11.

What is the point labelled A?

a)

(0,6)

b)

(6,0)

c)

(-6,0)

d)

(0,-6)

12.

Find the centre of the circle.

a)

(1, 2)

b)

(2, 2)

c)

(1, 1)

d)

(3, 2)

13.

Using the centre of the circle from the previous question, find the radius of the circle.

a)

$\sqrt{5}$

b)

$\sqrt{4}$

c)

5

d)

$\sqrt{6}$

14.

Find the equation of the circle.

a)

$\left(x-1\right)^2+\left(y+1\right)^2=\sqrt{5}$

b)

$\left(x-1\right)^2+\left(y-1\right)^2=\sqrt{5}$

c)

$\left(x-1\right)^2+\left(y+1\right)^2=5$

d)

$\left(x-1\right)^2+\left(y-1\right)^2=5$

15.

What is the radius of the circle?

a)

-3

b)

9

c)

2

d)

3

16.

What is the equation of the circle?

a)

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

b)

$\left(x+3\right)^2+\left(y-1\right)^{2\ }=9$

c)

$\left(x-3\right)^2+\left(y+1\right)^{2\ }=9$

d)

$\left(x-3\right)^2+\left(y-1\right)^{2\ }=9$

17.

Was this app easy to use for your test?

a)

YESSS

b)

No

c)

LOVED IT

d)

It was OK

18.

How many times live classes would you prefer to have per week?

a)

3

b)

4

c)

5

5th Year Maths Test: The Circle

Total questions: 18

Worksheet time: 1hrs 14mins

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