quizziz

In a foreign language, "lungi foonga pajle" means "burn paper wood", and "hale pajle rason" means I paper fire. 

How do you write I burn fire wood? 

• hale pajle rason hale

• hale lungi rason foonga

• lungi rason pajle

• lungi lungi pajle hale hale

Answer explanation

Burn means lungi, foonga, pajle means paper, hale means I, rason means fire.

A pronic number is the product of two consecutive positive integers.

110 is a pronic number as 110 = 11 × 10. 

What is the difference between two pronic numbers having a common factor of 9?

• 16

• 18

• 14

• 20

• 12

Answer explanation

Two pronic numbers having a common factor of 9 are 9 x 8 = 72 and 9 x 10 = 90.

The difference between the numbers = 90 - 72 = 18.

In a foreign language, "e syp plooj" means I drink juice, "e syp ratak" means I drink water and "e sanga eu plooj" means I shower in juice. 

How do you say I shower in water?

• e syp ratak

• e sanga eu ratak

• e sanga plooj ratak

• sanga eu sanga ratak

Answer explanation

E means I.

Sanga means shower.

Eu means in.

Plooj means juice.

Ratak means water.

Syp means drink.

A train leaves Westmead Station to go to Central every 14 minutes.

Another train leaves Westmead to go to Strathfield every 12 minutes.

At 6 am, the two trains leave Westmead at the same time. When is the next time that the trains will leave Westmead station simultaneously?

• 7:25 am

• 7:24 am

• 7:24 pm

• 6:24 am

• 6:24 mp

Answer explanation

Multiples of 14:

14, 28, 42, 56, 70, 84

 

Multiples of 12:

12, 24, 36, 48, 60, 72, 84

 

Hence, the lowest common multiple of both numbers is 84.

This means that after 6 am both trains will leave simultaneously after 84 minutes.

6 am + 84 minutes (1 hour and 24 minutes) = 7:24 am.

Joshua can dig a trench between two given points in 8 days and Paul can do the same job in 12 days. With the help of Justine, they did the job in 4 days. In how many days Justine can complete this job alone?

• 8

• 22

• 1/24

• 24

• 1/8

Answer explanation

The question is solved as follows:

Let Justine’s one-day work be 1/𝑥.

Joshua’s one-day work = 1/8

Paul’s one-day work = 1/12

(Joshua + Paul + Justine)’s one day work = ¼

¼ = 1/8 + 1/12 + 1/𝑥

1/𝑥 =  ¼ - ( 1/8 + 1/12)

1/𝑥 = ¼ - 5/24

1/𝑥 = 1/24

𝑥 = 24

Justine can complete the job alone in 24 days.

5 kids are in a race, if noone is faster than Cameron, and noone is slower than Derek, and Baxter is faster than Elias but not Austin, who is second?

• Derek

• Austin

• Baxter

• Cameron

• Elias

Answer explanation

Cameron is first, Derek is last. If Baxter is faster than Elias, but slower than Austin, that must mean Baxter is third, and Austin must be second.

A car and a train are traveling in the same direction. The car traveling at 50 km/hr passes the 200 m long train in 10 seconds.What is the speed of the train?

• 122 km/hr

• 32 km/hr

• 22 km/hr

• 120 km/hr

• 60 km/hr

Answer explanation

The question is solved as:

Let the speed of the train be 𝑥 km/hr

The length of the train is 200m

Speed of the car = 50 km/hr

Time taken by train to pass the car is 10 seconds.

Relative speed = distance/time

(𝑥 – 50) = 200 /10 x 18 /5

𝑥 – 50 = 72

𝑥 = 72 + 50

𝑥 = 122 km/hr

The speed of the train is 122 km/ hr

Matt is making a pattern by drawing shapes. The first four shapes in his pattern are shown below.

How many squares does the 10^th shape have? 

• 31

• 15

• 29

• 17

• 23

Answer explanation

Tip: It is good to learn prime numbers, square numbers, and cube numbers as these are often used in pattern questions.

Matt’s sequence is the prime number sequence. Matt’s first shape has 2 squares because the first prime number is 2. The first 10 prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. The 10^th prime number is 29. So, the 10^th shape has 29 squares.

Derek wants to arrange matchsticks into a series of triangles like the one below.

Which of these number of matchsticks will not form a series of complete triangles?

• 72

• 59

• 53

• 71

• 19

Answer explanation

As each pattern increases by 2

It can only be odd numbers

What would be the average of 4 consecutive numbers starting from 66?

• 66.5

• 68.5

• 67

• 67.5

• 68

Answer explanation

The average = (66 + 67 + 68 + 69)/4 = 67.5.