Preparation for EASE 3

EASE 3 PREPARATION

By Ama Atiby

Multiple Choice

Find the Area of a circle (in cm²)with diameter 2.6 cm.

Use $$\pi=3.142$$ . Round your answers correct to 2 decimal places (2 d.p.).

• 5.30

• 5.31

• 5.32

• 5.33

Multiple Choice

Find the Area of a circle with radius 5 cm.

Give your answer correct to 3 significant figures (3 s.f.).

Use $$\pi=3.14$$

• 78.5 cm²

• 79.5 cm²

• 80.5 cm²

• 81.5 cm²

Multiple Choice

Find the nth term of 6, 17, 32, 51, 74, …

• n² + 5

• 2n² + 5n - 1

• 11n - 5

• 4n² + 2

Multiple Choice

Work out this calculation!

$$3.2\times0.25\times0.25$$

• $$0.2$$

• $$0.25$$

• $$0.5$$

• $$0.002$$

Multiple Choice

Let $$\Delta ABC$$ be a triangle that is right angled on $$A$$ . If $$BC=37\ cm$$ and $$AB=35cm$$ , what is the length of $$AC\ =\ ....$$

• 10 cm

• 11 cm

• 12 cm

• 13 cm

Multiple Choice

Construct a triangle ABC, with AB is 6cm, angle BAC is

60° and angle ABC is 45°.

Multiple Choice

Determine the function below!

• $$y=2x+3$$

• $$y=x-3$$

• $$y=x^2+3$$

• $$y=x^2+9$$

Multiple Choice

The width of a hair is  $$200nm$$ . Determine the width in meter!

• $$2\times10^{-10}$$

• $$2\times10^{-12}$$

• $$2\times10^{-7}$$

• $$2\times10^{-9}$$

Multiple Choice

The nth term rule of a sequence is $$n^2+4$$  .

The first three terms and the 10th term of the sequence are ___.

• 1st term = -3

  2nd term = 1

  3rd term = 5

  10th term = 96

• 1st term = -3

  2nd term = 0

  3rd term = 5

  10th term = 96

• 1st term = -3

  2nd term = 0

  3rd term = 5

  10th term = 94

• 1st term = -3

  2nd term = 0

  3rd term = 5

  10th term = 94

Multiple Choice

Work out the area of this compound shape.

• 16.96 cm²

• 25.12 cm²

• 116.48 cm²

• 164.48 cm²

Multiple Choice

Work out this calculation as mixed number.

$$5\frac{1}{3}-\frac{1}{4}\times\frac{8}{6}$$

• $$5\frac{1}{3}$$

• $$5\frac{1}{6}$$

• $$6\frac{1}{3}$$

• $$6\frac{1}{6}$$

Multiple Choice

Which of the following fractions is equivalent to a terminating

decimal?

• $$\frac{1}{3}$$

• $$\frac{1}{4}$$

• $$\frac{1}{6}$$

• $$\frac{1}{9}$$

Multiple Choice

Work out this calculation in its simplest form.

$$2\frac{1}{5}\times3\frac{2}{11}$$

• $$\frac{385}{55}$$

• $$\frac{1}{7}$$

• 7

• 5

Multiple Choice

Work out this calculations!

$$\frac{2}{7}\times\frac{98}{100}$$

• $$\frac{7}{25}$$

• $$\frac{14}{50}$$

• $$\frac{7}{24}$$

• $$\frac{12}{47}$$

Multiple Choice

This trapezium has a pair of parallel sides.

Find the angle ADC.

• 55^o

• 100^o

• 110^o

• 125^o

Multiple Choice

What is the value of y°?

• 130°

• 120°

• 140°

• 125°

Multiple Choice

Work out the angle P based on the given picture below.

• 63^o

• 137^o

• 117^o

• 297^o

Multiple Choice

Annisa constructs an angle. Based on the steps below,

what angle does Annisa create?

• 30^o

• 45^o

• 50^o

• 60^o

Multiple Choice

The nth term of sequence -1, 2, 7, 14, 23, ... is ___.

• $$3n-4$$

• $$2n-4$$

• $$n^2-2$$

• $$n^2-4$$

Multiple Choice

Work out the unknown angles  $$a,b\$$ and $$c$$ .

• $$a=67\degree\ ;\ b=67\degree\ ;\ c=67\degree$$

• $$a=113\degree\ ;\ b=113\degree\ ;\ c=113\degree$$

• $$a=113\degree\ ;\ b=67\degree\ ;\ c=67\degree$$

• $$a=113\degree\ ;\ b=113\degree\ ;\ c=67\degree$$

Multiple Choice

Pablo wants to test the hypothesis: Girls at his school are better at maths than boys.

He gave a maths test to the 30 learners in his class. The 17 girls scored higher marks on average than the 13 boys. Pablo says that this supports his hypothesis.

Pablo may be wrong because... 

• His sample size is too small

• His sample has more girls than boys

• He has only sampled from one year group

• The sample requires more boys

Multiple Choice

In a polygon, the sum of the measures of the exterior angles is

equal to ___.

• 180^o

• 360^o

• 240^o

• It depends on the number of the sides

Multiple Choice

What is the value of y° ?

• 40°

• 50°

• 60°

• 70°

Multiple Choice

Calculate $$6\frac{2}{5}\div\frac{1}{10}$$

• 24

• 18

• 36

• 64

Multiple Choice

This table shows the number of people on holiday on a cruise ship. The data is represented in this graph.

Why is the graph misleading?

• There is more than one column for each gender.

• The scale is not consistent.

• There are more women than men.

• The incorrect label

Multiple Choice

Decide if these fractions are terminating or recurring decimals.

$$\frac{8}{3},\frac{21}{5},\frac{28}{9};\frac{39}{12}$$

• Terminating decimals :   $$\frac{21}{5},\frac{39}{12}$$

  Recurring decimals: $$\frac{8}{3};\frac{28}{9}$$

• Terminating decimals :   $$\frac{8}{3},\frac{28}{9}$$

  Recurring decimals: $$\frac{21}{5};\frac{39}{12}$$

• Terminating decimals :   $$\frac{21}{5};\frac{39}{12};\frac{28}{9}$$

  Recurring decimals: $$\frac{8}{3}$$

• Terminating decimals :   $$\frac{39}{12}$$

  Recurring decimals: $$\frac{21}{5};\frac{8}{3};\frac{28}{9}$$

Multiple Choice

Work out these calculations.

$$\left(\frac{2}{3}+\frac{3}{4}\right)\times\frac{4}{11}$$

(choose the answer in its simplest form)

• $$\frac{16}{33}$$

• $$\frac{17}{33}$$

• $$\frac{19}{33}$$

• $$\frac{8}{22}$$

Multiple Choice

Work out the area of this shaded area (blue area).

• 86.44 cm²

• 36.94 cm²

• 37.06 cm²

• 49.24 cm²

Multiple Choice

The circumference of a circular lawn is $$12\pi$$  m.

Find out the area of the lawn in term of  $$\pi$$ .

• $$24\pi$$ m²

• $$32\pi$$ m²

• $$36\pi$$ m²

• $$72\pi$$ m²

Multiple Choice

If the measure of an exterior angle of a regular polygon is 45

degrees, how many sides does the polygon have?

• 4

• 6

• 8

• 10

Multiple Choice

The fourth term of a sequence is 116. The term-to-term rule is:

square and subtract 5.

What is the first term of the sequence?

• 3

• 4

• 11

• 16

Multiple Choice

Work out this calculation as mixed number!

$$\left(3\frac{1}{3}\right)^2-\frac{1}{6}\times\frac{8}{9}$$

• $$10\ \frac{25}{27}$$

• $$10\ \frac{26}{27}$$

• $$10\ \frac{25}{26}$$

• $$10\ \frac{27}{29}$$

Multiple Choice

Given that a rectangular desk with the area  $$2\ \frac{4}{5}$$ m² . The desk has  $$1\ \frac{3}{4}$$ m  length.

Determine the width of the desk.

• $$1\ \frac{3}{5}$$ m

• $$-1\ \frac{4}{5}$$ m

• $$\frac{3}{5}$$ m

• $$1\ \frac{2}{5}$$ m

Multiple Choice

Match each sequence with the correct nth term expression.

• 1d, 2c, 3a, 4b

• 1c, 2b, 3a, 4d

• 1a, 2b, 3c, 4d

• 1a, 2b, 3d, 4c

Multiple Choice

Shadi conducted an experiment to see if the distance a coin is spun affects the result.

He spun a coin 40 times and recorded how far the coin travelled and which side of the coin was facing up. He organised his results into a table.

Which of these generalisations could Shadi make from his data?

• A longer spin is more likely to have a head facing up.

• A shorter spin is more likely to have a head facing up.

• The coin is more likely to have a tail facing up at any distance.

• A shorter spin is more likely to have a tail facing up.

Math Response

A ladder is leaning against a wall. If it touches the floor 8 metres

away from the wall and touches the wall 15 metres above the floor,

how tall is the ladder?

Type answer here

Correct Answer: 17

Deg^°

Rad

Math Response

Without using a calculator, work out the answer to this calculation.

$$\left(1\ \frac{3}{5}+2.4\right)^2-5=...$$

Type answer here

Correct Answer: 11

Deg^°

Rad

Math Response

In a college there are 300 girls and 200 boys. You want to choose a representative sample of 60 students. How many girls should you choose? 

Type answer here

Correct Answer: 36

Deg^°

Rad