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[A3] Quizizz 7

Total questions: 19

Worksheet time: 19mins

Name
Class
Date
1.

Ants and a cricket wanted to work together to carry some foods for their supplies. Ants took 16 days to complete the work if they did it by themselves whereas the cricket took 24 days to do so if he did it only by himself.


In the beginning, they started carrying the food together, but the cricket took a break without completing the work. Then the ants carried the rest of the foods by themselves from that day and took 12 days to complete it.


How long did the cricket carry the food before he took a break?

a)

6 days

b)

4 days

c)

2 days

d)

3 days

2.

There are 2 circles with 8cm-long radius overlapping each other as illustrated below. A and BB are the center points of each circle.


Find the area of the shaded part.

a)

 56 cm256\ cm^2  

b)

 84 cm284\ cm^2  

c)

 128 cm2128\ cm^2  

d)

 72 cm272\ cm^2  

3.

There are 2 circles with 8cm-long radius overlapping each other as illustrated below. A and BB are the center points of each circle.


Find the perimeter of the shaded part.

a)

 49.68 cm49.68\ cm  

b)

 37.68 cm37.68\ cm  

c)

 30.84 cm30.84\ cm  

d)

 66.24 cm66.24\ cm  

4.

Dave dropped a bouncy ball from a certain height to the floor. Every time the bouncy ball hit the floor, it bounced back only \frac{2}{5} times from where it had been. When the bouncy balls bounced back 4 times, the height he measured was 64cm. Calculate the height of the starting point to the floor.

a)

 2.5m2.5m  

b)

 25m25m  

c)

 40m40m  

d)

 4m4m  

5.

Look at the triangle on the left. Find the area of the shaded part. Note that one grid has 3cm-long sides.

a)

18 cm218\ cm^2

b)

27 cm227\ cm^2

c)

36 cm236\ cm^2

d)

28 cm228\ cm^2

6.

There are 4 cards, 3, 4, 5, and 8. Put these numbers in the following boxes to make an equation with the biggest result. Note that each card can only be used once.

a)

3215\frac{32}{15}

b)

103\frac{10}{3}

c)

203\frac{20}{3}

d)

152\frac{15}{2}

7.

Jackson tries to guess his new maths teacher’s age. The teacher gives him the following 3 clues.

(1) When my age is divided by 3, the remainder is 2.

(2) When my age is divided by 5, the remainder is 4.

(3) When my age is divided by 7, the remainder is 1.

(4) My age is between 25 and 45

Find the age of Jackson’s new maths teacher.

a)

29

b)

36

c)

43

d)

44

8.

There are 2 squares with 18cm-long sides each. When they are overlapping as shown in the following figure, find the area of the shaded part.

a)

108 cm2108\ cm^2

b)

116 cm2116\ cm^2

c)

216 cm2216\ cm^2

d)

243 cm2243\ cm^2

9.

Maria made 450g of salt water with a density of 9% and 150g of salt water with a density of 5%. If she mixed these salt water solutions, what would be the density of the salt water?

a)

2.33%

b)

7%

c)

8%

d)

9.6%

10.

In how many possible ways can 7 identical balls be distributed to 3 distinct boxes?

a)

15

b)

36

c)

30

d)

42

11.

There are 4 pairs white chopsticks, 5 pairs yellow chopsticks and 6 pairs of brown chopsticks mixed together. Close your eyes. If you want to get each 3 pairs of chopsticks with different colours, at least how many piece(s) of chopstick(s) is / are needed to be taken?

a)

4

b)

18

c)

28

d)

30

12.

Given |x-4|+y^2-2y+1=0 , find the value of

 (7y2x)+(7y2x)2+(7y2x)3++(7y2x)2017.(7y-2x)+(7y-2x)^2+(7y-2x)^3+⋯+(7y-2x)^{2017}. 

a)

 1-1  

b)

 11  

c)

 20172017  

d)

 20182018  

13.

Given that a is a negative real number and a\ne-2 . If a+1a+2=4a+\frac{1}{a+2}=-4 , find the value of aa .

a)

 1-1  

b)

 2-2  

c)

 3-3  

d)

 4-4  

14.

Find the unit digit of A if  A=1+2+22+23++22016+22017.A=1+2+2^2+2^3+⋯+2^{2016}+2^{2017}.  

a)

3

b)

7

c)

5

d)

1

15.

In how many possible way(s) can 7 identical balls be distributed to 3 distinct boxes so that every box contains at least one ball?

a)

15

b)

36

c)

30

d)

42

16.

A flight stairs has 9 steps. David can go up for 1 step or 2 steps each time. The 4th step cannot be stepped on as it is destroyed. How many way(s) is / are there for David to go up the stairs?

a)

14

b)

15

c)

16

d)

17

17.

Numbers are drawn from 2017 integers 1 to 2017. At least how many number(s) is / are drawn at random to ensure that there are two numbers whose sum is 2017?

a)

1008

b)

1009

c)

1010

d)

1011

18.

How many rectangle(s) is / are there in the figure below?

a)

91

b)

99

c)

105

d)

111

19.

Find the last digit of A if A=12+22+32++20172A=1^2+2^2+3^2+⋯+2017^2 .

a)

1

b)

3

c)

5

d)

7