Opportunity Class – Mini Test 3 (in class)

Question 1 of 27

Josh, Rob, and Kim work together in a company.

Josh is 25 years old, and Kim is twice as old as Josh.

Rob is five years younger than Kim.

How old is Rob?

50
75
45
35
40

Question 2 of 27

Study the pattern and find the missing number?

400
22
18
3
4

Question 3 of 27

Which of the following, when rounded off to the nearest thousand, is 50,000?

49,399
50,660
54,871
50,499
49,499

Question 4 of 27

Justin bought a laptop, mobile, and camera for $4,029.

Mobile cost $265 less than the camera.

The laptop cost $1,486 more than the camera.

How much did Justin pay for the laptop?

$2,100
$2,422
$3,016
$3.751
$2,157

Question 5 of 27

Zach is inviting 15 friends to his birthday party. He is preparing party bags for his friends including – 2 chocolates, 2 party poppers, 3 lollies and 1 small puzzle.

Chocolate cost 70c each, party poppers cost 20c each, lollies cost 10c each and puzzles cost $1.15 each.

How much does Zach have to spend on party bags?

$3.25
$45.75
$48.75
$52.15
$39.15

Question 6 of 27

Claire walked 20 m towards the north. Then she turned right and walked 30 m and finally she turned right and walked 20 m.

In which direction and how many meters is she from the starting position?

30 m to East
20 m to West
30 m to South
45 m to North
20 m to East

Question 7 of 27

Brad and Percy stayed back at school to help at the library. Brad spent 1 hour and 35 minutes, while Percy left 20 minutes earlier than Brad.

How much time did Percy spend helping at the library?

20 minutes
95 minutes
100 minutes
1 hour 20 minutes
1 hour 15 minutes

Question 8 of 27

Find the missing number in the magic square.

1
0
-4
2
-5

Question 9 of 27

Which of the following letters has perpendicular lines?

P
N
Q
H
W

Question 10 of 27

The figure below is made up of 5 identical squares. Find the perimeter of the figure.

96 cm
160 cm
144 cm
88 cm
72 cm

Question 11 of 27

Which fraction is smaller than ⅔?

$\dfrac{3}{4}$
$\dfrac{11}{12}$
$\dfrac{7}{9}$
$\dfrac{4}{9}$
$\dfrac{5}{6}$

Question 12 of 27

The line graph below shows the number of students in grade 4 of Waitara Primary.

Statement 1. The difference in the number of 4th grade from 2000 to 2010 Is less than the number of 4th graders from students from 1980 to 1990.

Statement 2. There was no change in the number of students from 1990 to 1995.

Statement 3. There was a maximum increase in students from 1975 to 1980.

Which of the following is correct?

Statement 1 and 2
Statement 2 and 3
Statement 1, 2 and 3
Statement 1 and 2
None of the above

Question 13 of 27

Some students took part in a debating competition.

In the first round, half were eliminated.

In the second round, 30 more were eliminated.

There were 10 students left for the third round.

How many students came to the audition?

120
90
40
75
80

Question 14 of 27

Which is ordered least to greatest?

$43.14, $43.41, $44.14, $43.44
$43.14, $43.41, $44.13, $43.44
$43.14, $43.41, $43.44, $44.13
$44.13, $43.44, $43.41, $43.14
$43.14, $43.44, $43.41, $44.13

Question 15 of 27

Ben has a rectangular prism made up of small cubes as shown

He dipped the block into red colour paint.

How many small cubes have 3 faces painted with red colour?

4
5
6
7
8

Question 16 of 27

Kevin has dropped a marble in a jar filled with water.

What is the volume of marbles?

500 mL
100 mL
400 mL
50 mL
450 mL

Question 17 of 27

Which of the following given fraction represents the shaded triangles?

$\dfrac{1}{4}$
$\dfrac{5}{15}$
$\dfrac{9}{12}$
$\dfrac{1}{2}$
$\dfrac{3}{12}$

Question 18 of 27

Here are 5 types of eggs.

Type of Egg	Length
Goose	8.6 cm
Robin	1.9 cm
Humminbird	13 mm
Cuckoo	38 mm
Ostrich	18 cm

Luke reads the graph and makes 3 claims:

Cuckoo’s egg is 2 times Robin’s egg.
The goose egg is the largest.
The combined length of Goose, Robin, and Hummingbird eggs are 10 cm less than the combined length of Cuckoo and Ostrich’s eggs.

Using the information provided, which of Luke’s claims is/are correct?

claim 1 only
claim 2 only
claim 3 only
claim 1 and 2
claim 1 and 3

Question 19 of 27

A square piece of centimeter squared paper is folded as shown:

The sections shaded green are then cut out and thrown away.

The paper then unfolded completely.

What is the area of the paper that is left?

6.5 sq cm
20 sq cm
36 sq cm
18 sq cm
26 sq cm

Question 20 of 27

Ash went to Just Sports to buy some clothes.

He bought 2 pairs of socks, 1 hat, 2 Jeans and 1 Jacket.

How much does he have to pay, if he has a $15 coupon to redeem,

$122.36
$79.22
$64.22
$107.36
$102.86

Question 21 of 27

Which is more than 40,000 but less than 47,000?

48,000 – 800
50,650 – ½(4500)
35,675 + 0.7 (12.000)
30,850 + 1,256 + 10, 555 – 2,850
0.4 (40,000) + 0.6(60,000)

Question 22 of 27

An environmentalist: “Australians should get rid of their petrol and diesel cars and electric vehicles. This will help current and future generations limit the impact of climate change.”

Which of the following statements supports the environmentalist’s claim?

Electric cars are charged using electricity produced with fossil fuels, primarily coal.
Australia does not have a network of charging stations to charge electric vehicles.
Electric cars are costly, and the Australian government does not give any financial assistance on purchasing electric vehicles like most countries in Europe.
Nearly 70% of household energy consumption is from petrol and diesel.

Question 23 of 27

A doctor: “ People in NSW should continue to wear masks and maintain social distance even after 90% of the population has been vaccinated against Covid-19. ”

Which of the following statements supports the doctor’s claim?

Vaccinated people only get mild symptoms of Covid-19.
According to medical experts, everyone will get Covid-19 at least once in their life.
Masks will limit the spread of Covid-19 and protect people who cannot get vaccinated due to medical reasons.
Once a vaccinated person recovers from Covid-19, he becomes immune from the disease for years.

Question 24 of 27

A nutritionist: “ Medicines should be prescribed after dietary and lifestyle changes fail to cure a disease. All medicines have some side effects.”

Which of the following statements weakens the nutritionist’s claim?

Modern medicine has saved millions of lives in the last 50 years.
Dietary and lifestyle changes take a long time to have an effect and cannot be used where urgent care is needed.
Most patients are unwilling to make an effort to make dietary and lifestyle changes.
All of the above.

Question 25 of 27

If the above information is correct, which of the following statements must be true?

Tom’s income is five times the average Australian income so, he must be wealthy.
Rob’s income is ten times the Average Australian income and very conservative spending habits, so he must be wealthy.
Sam is wealthy, so he must have a substantial income and good spending habits.
None of the above

Question 26 of 27

Two standard dice are shown below

The two numbers on the faces opposite to the question mark have a sum of 11.

The sum of opposite faces on dice is 7.

Which of the following two numbers are on the front (which will replace the question marks)?

2 and 3
1 and 2
3 and 4
6 and 1

Question 27 of 27

John and Jack are walking in a park on a circular track. John is walking at 60 m per minute in the clockwise direction, whereas Jack walks in the anti-clockwise direction at 40 m per minute. They start walking at the same time and meet each other after 5 minutes.

What is the length of the track?

500 m
600 m
300 m
450 m

Opportunity Class – Mini Test 3 (in class)