Free Printable 2023 HY quick review

1.

What are the perimeter and area for this shape, correct to 2 decimal places?

a)

P = 12.71 cm,

A = 16.77 cm²

b)

P = 20.71 cm,

A = 22.07 cm²

c)

P = 25.42 cm,

A = 29.14 cm²

d)

P = 18.36 cm,

A = 43.27 cm²

e)

P = 17.71 cm,

A = 17.25 cm²

2.

Which of the following is equivalent to 0.04m²?

a)

4 cm²

b)

40 mm²

c)

0.0004 cm²

d)

400 cm²

e)

0.00004 km²

3.

A square-based pyramid has a base area of 30 m² and a height of 7 m. What is its volume?

a)

105 m³

b)

70 m³

c)

210π m³

d)

210 m³

e)

140 m³

4.

What is the curved surface area of this half cylinder, in exact form?

a)

80π cm²

b)

105π cm²

c)

92.5π cm²

d)

120π cm²

e)

160π cm²

5.

The volume of a sphere of diameter 30 cm is closest to:

a)

113 097 cm³

b)

2827 cm³

c)

11 310 cm³

d)

14137 cm³

e)

7069 cm³

6.

The number of tails obtained from 100 tosses of two coins is shown in the table.

From this table, what is the experimental probability of obtaining two tails?

a)

0.23

b)

0.25

c)

0.2

d)

0.5

e)

0.77

7.

From the given two-way table, what is $P\left(A\cap B'\right)$ ?

a)

$\frac{1}{2}$

b)

$\frac{2}{3}$

c)

$\frac{1}{4}$

d)

$\frac{4}{5}$

e)

$\frac{1}{3}$

8.

Two events, A and B, are such that $P\left(A\right)=0.7$ , $P\left(B\right)=0.4$ , and $P\left(A\cap B\right)=0.3$ .

What is $P\left(A\cup B\right)$ ?

a)

1.4

b)

0.8

c)

0.6

d)

0

e)

0.58

9.

From the information in the Venn diagram, what is P(A | B)?

a)

$\frac{5}{12}$

b)

$\frac{4}{5}$

c)

$\frac{4}{7}$

d)

$\frac{4}{9}$

e)

$\frac{1}{3}$

10.

A bag of 5 marbles contains 2 green ones. Two marbles are selected without replacement.

What is the probability of selecting the 2 green marbles?

a)

$\frac{9}{20}$

b)

$\frac{2}{25}$

c)

$\frac{1}{10}$

d)

$\frac{2}{5}$

e)

$\frac{4}{25}$

11.

Simplify $2x\left(4-3y\right)-3\left(3x-4xy\right)$ .

a)

$6xy-x$

b)

$2xy$

c)

$x-18xy$

d)

$12xy-7x$

e)

$2x-3y-4xy$

12.

Which of the following points is not on the line $y=3x-2$ ?

a)

$\left(-1,-5\right)$

b)

$\left(1,1\right)$

c)

$\left(-2,-4\right)$

d)

$\left(4,10\right)$

e)

$\left(0,-2\right)$

13.

The length, d, and midpoint, M, of the line segment that joins the points (−2, 4) and (3, −2) are:

a)

$d=\sqrt[]{5}$

$M=\left(0.5,\ 1\right)$

b)

$d=\sqrt[]{61}$

$M=\left(2.5,\ 3\right)$

c)

$d=\sqrt[]{29}$

$M=\left(1,\ 1\right)$

d)

$d=\sqrt[]{61}$

$M=\left(0.5,\ 1\right)$

e)

$d=\sqrt[]{11}$

$M=\left(1,\ 2\right)$

14.

The equation of the line that is perpendicular to the line with equation $y=−2x−1$ and passes through the point $(1,−2)$ is:

a)

$y=-\frac{1}{2}x+\frac{3}{2}$

b)

$y=2x-2$

c)

$y=-2x-4$

d)

$y=x-2$

e)

$y=\frac{1}{2}x-\frac{5}{2}$

15.

Which of the following shows the graph of $3x+2y<6$ ?

a)

b)

c)

d)

e)

2023 HY quick review

Total questions: 15

Worksheet time: 11mins

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