Quiz about Year 11 - Diagnostic Test

Question 1

What is the relative frequency of blue cars?

Accepted Answer

0.15

Answer

0.08

Answer

0.3

Answer

30

Question 2

A football team won 12 out of 20 matches.

If they play 35 matches next season, how many could they be expected to win?

Accepted Answer

21

Answer

35

Answer

12

Answer

25

Question 3

Solve the equation

$$17-2x=4x-7$$

Accepted Answer

$$x=4$$

Answer

$$x=2$$

Answer

$$x=\frac{17}{6}$$

Answer

$$x=12$$

Question 4

Find the gradient of the line that passes through the points

$$\left(6,\ 8\right)$$ and $$\left(14,\ -8\right)$$

Accepted Answer

0.5

Answer

0

Answer

2

Answer

-2

Question 5

Write as a single logarithm

$$3\log2-\log4$$

Accepted Answer

$$\log2$$

Answer

$$3\log\left(-2\right)$$

Answer

$$\log\left(\frac{3}{2}\right)$$

Answer

$$\log4$$

Question 6

Factorise fully

$$xy^2-4xz^2$$

Accepted Answer

$$x\left(y-2z\right)\left(y+2z\right)$$

Answer

$$x\left(y^2-4z^2\right)$$

Answer

$$4x\left(y-z\right)\left(y+z\right)$$

Answer

$$x\left(y-2z\right)^2$$

Question 7

Which rule would you use to find angle PAB?

Accepted Answer

Cosine rule

Answer

Sine rule

Answer

SOHCAHTOA

Answer

Area of a triangle

Question 8

What is the transformation of the function $$f\left(x+2\right)$$

Accepted Answer

Translation 2 units left

Answer

Translation 2 units right

Answer

Translation 2 units up

Answer

Stretch 2 in the x-direction with scale factor 2

Question 9

The quadratic $$f\left(x\right)$$ has a vertex point $$\left(2,\ -3\right)$$

What is the vertex of the function $$-f\left(2x\right)$$

Accepted Answer

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

Answer

$$\left(-1,\ -6\right)$$

Answer

$$\left(-4,\ 3\right)$$

Answer

$$\left(4,\ 3\right)$$

Question 10

Tim and Ed share $120 in the ratio 2:3

How much does Tim get?

Accepted Answer

48

Answer

20

Answer

60

Answer

72

Question 11

Caroline puts $1500 in a savings account for 3 years with compound interest of 5% per annum.

How much does she get after 3 years?

Accepted Answer

1736.44

Answer

1575

Answer

1736.4375

Answer

1725

Question 12

Given that $$f\left(x\right)=x^2-2x$$

Find the value of $$f\left(1\right)$$

Accepted Answer

-1

Answer

1

Answer

0

Answer

3

Question 13

Given that $$f\left(x\right)=x^2-2x$$ find the range

Accepted Answer

$$f\left(x\right)\ge-1$$

Answer

$$f\left(x\right)\ge1$$

Answer

$$f\left(x\right)>0$$

Answer

$$f\left(x\right)\ge-2$$

Year 11 - Diagnostic Test

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