Quiz about Like Minds 2022

Question 1

This shape has a perimeter of 20cm. Its area is

Accepted Answer

25

Answer

16

Answer

20

Answer

400

Question 2

The area of this shape is 55cm². The value of x is...

Accepted Answer

10

Answer

5

Answer

2.5

Answer

20

Question 3

The area of this shape can be found by...

Accepted Answer

$$\frac{\left(8+a ight)}{2} imes7$$

Answer

7 x 8

Answer

$$7 imes a$$

Answer

$$\left(8+a ight) imes7$$

Question 4

The circumference of this circle is...

Accepted Answer

$$8\pi$$

Answer

$$16\pi$$

Answer

$$64\pi$$

Answer

16

Question 5

(Calculator) The area of this circle is...

Accepted Answer

50.26cm

Answer

8cm

Answer

25.13cm

Answer

16cm

Question 6

(Calculator) The circumference of this circle is...

Accepted Answer

43.98

Answer

49

Answer

153.93

Answer

14

Question 7

The area of this circle is...

Accepted Answer

$$49\pi$$

Answer

$$14\pi$$

Answer

$$7\pi$$

Answer

14

Question 8

(Calculator) The volume of this shape is...

Accepted Answer

1436.71

Answer

205.24

Answer

457.33

Answer

1077.53

Question 9

(Calculator) The volume of this shape is...

Accepted Answer

4021.12

Answer

160

Answer

1280

Answer

320

Question 10

(Calculator) The volume of this shape is

Accepted Answer

144

Answer

432

Answer

216

Answer

108

Question 11

$$\frac{3}{7}+\frac{2}{7}$$

Accepted Answer

$$\frac{5}{7}$$

Answer

$$\frac{5}{14}$$

Answer

$$\frac{6}{49}$$

Answer

$$\frac{6}{14}$$

Question 12

$$\frac{3}{5}-\frac{1}{4}=$$

Accepted Answer

$$\frac{7}{20}$$

Answer

$$\frac{17}{20}$$

Answer

$$\frac{4}{9}$$

Answer

$$\frac{4}{20}$$

Question 13

$$2\frac{2}{3}+1\frac{1}{6}=$$

Accepted Answer

$$\frac{23}{6}$$

Answer

$$\frac{17}{3}$$

Answer

$$\frac{13}{3}$$

Answer

$$\frac{11}{3}$$

Question 14

$$\frac{3}{5\ } imes\frac{4}{7}$$

Accepted Answer

$$\frac{12}{35}$$

Answer

$$\frac{7}{12}$$

Answer

$$\frac{7}{35}$$

Answer

$$\frac{21}{20}$$

Question 15

$$2\frac{3}{5} imes3\frac{1}{2}$$ can be calculated by doing...

Accepted Answer

$$\frac{13}{5} imes\frac{7}{2}$$

Answer

$$\frac{7}{5} imes\frac{7}{2}$$

Answer

$$\left(2 imes3 ight)+\left(\frac{3}{5} imes\frac{1}{2} ight)$$

Answer

$$\frac{3}{5} imes\frac{3}{2}$$

Question 16

$$\frac{2}{5}\div\frac{3}{7}$$

Accepted Answer

$$\frac{14}{15}$$

Answer

$$\frac{15}{14}$$

Answer

$$\frac{6}{35}$$

Answer

$$\frac{35}{6}$$

Question 17

The fraction $$-\frac{9}{4}$$ is closest to

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Answer

E

Question 18

Select which of the following are true

Accepted Answer

$$\frac{4}{8}=\frac{3}{6}$$

Accepted Answer

$$\frac{3}{7}<\frac{1}{2}$$

Accepted Answer

$$\frac{5}{6}>\frac{3}{4}$$

Answer

$$\frac{22}{7}>\frac{22}{3}$$

Question 19

(Calculator) 26 out of 45 as a percentage is...

Accepted Answer

57.78%

Answer

11.7

Answer

57.78

Answer

11.7%

Question 20

(Calculator) 34% of 70 is...

Accepted Answer

23.8

Answer

48.57%

Answer

0.4857

Answer

205.88

Question 21

(Calculator) 27 is 62% of which number?

Accepted Answer

43.55

Answer

31.71

Answer

5.33

Answer

31.71%

Question 22

(Calculator) Decrease 40 by 10%

Accepted Answer

36

Answer

39

Answer

38

Answer

37

Question 23

523% can also be written as

Accepted Answer

$$5.23$$

Accepted Answer

$$\frac{523}{100}$$

Answer

$$5.23\%$$

Answer

$$\frac{523}{1}$$

Question 24

0.3401 can also be written as

Accepted Answer

$$\frac{3401}{10000}$$

Accepted Answer

$$34.01\%$$

Answer

$$\frac{3401}{1000}$$

Answer

$$340.1\%$$

Answer

$$3401\%$$

Question 25

$$2 imes2 imes2 imes5 imes5 imes5 imes5\ =\ $$

Accepted Answer

$$2^3 imes5^4$$

Answer

$$10^7$$

Answer

$$2^7 imes5^7$$

Answer

$$200$$

Question 26

$$\sqrt[]{49}=$$

Accepted Answer

$$7$$

Answer

$$2401$$

Answer

$$\sqrt[]{7}$$

Answer

$$24.5$$

Question 27

$$\sqrt[]{20}$$ is between which two whole numbers

Accepted Answer

4 and 5

Answer

2 and 3

Answer

6 and 7

Answer

8 and 9

Question 28

$$x^2 imes x^7=$$

Accepted Answer

$$x^9$$

Answer

$$x^{14}$$

Answer

$$x^5$$

Answer

$$x^{-5}$$

Question 29

$$\frac{x^{10}}{x^4}=$$

Accepted Answer

$$x^6$$

Answer

$$x^{2.5}$$

Answer

$$x^{14}$$

Answer

$$x^{40}$$

Question 30

$$\left(x^3\right)^4=$$

Accepted Answer

$$x^{12}$$

Answer

$$x^{-1}$$

Answer

$$x^7$$

Answer

$$x^{\frac{3}{4}}$$

Question 31

$$2^{-3}=$$

Accepted Answer

$$\frac{1}{8}$$

Answer

$$-6$$

Answer

$$-8$$

Answer

$$\frac{1}{6}$$

Question 32

$$32\ 056\ 000$$ in Scientific Notation is

Accepted Answer

$$3.2056 imes10^7$$

Answer

$$32056 imes10^3$$

Answer

$$3.2056 imes10^{-7}$$

Answer

$$32056 imes10^{-3}$$

Question 33

$$4.012 imes10^{-3}$$ as a basic numeral is

Accepted Answer

$$0.004012$$

Answer

$$4012$$

Answer

$$4.012$$

Answer

$$0.0004012$$

Question 34

Round $$0.2039$$ to three decimal places

Accepted Answer

$$0.204$$

Answer

$$0.203$$

Answer

$$0.21$$

Answer

$$0.202$$

Question 35

An irrational number...

Accepted Answer

is a decimal with no pattern and does not end

Answer

is a decimal that ends

Answer

is a decimal that repeats

Answer

can be written as a fraction

Question 36

Select which of the following is true

Accepted Answer

$$\pi$$ is an irrational number

Accepted Answer

all fractions are rational numbers

Answer

$$\frac{2}{3}$$ is an irrational number

Answer

$$\frac{1}{2}$$ produces a recurring decimal

Question 37

A letter is drawn at random from the word MATHEMATICS. Find Pr(vowel is selected)

Accepted Answer

$$\frac{4}{11}$$

Answer

$$\frac{1}{11}$$

Answer

$$\frac{7}{11}$$

Answer

$$\frac{4}{7}$$

Question 38

A shop finds that of 481 customers that have come on one day, 53 of them like One Direction. What is the probability (as a percentage) that a customer selected at random does NOT like One Direction?

Accepted Answer

$$88.98\%$$

Answer

$$0$$

Answer

$$11.02\%$$

Answer

$$\frac{53}{481}$$

Question 39

A group of students were asked if they had a sister, a brother or both. The responses were recorded in the Venn Diagram. State the probability of selecting a student with a sister, but not a brother.

Accepted Answer

$$\frac{3}{14}$$

Answer

$$\frac{11}{28}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{2}{7}$$

Question 40

A group of students were asked if there were allergic to diary, and if they were allergic to nuts. Their responses were put in to the two way table shown. What's the probability of selecting a student who is allergic to exactly one thing?

Accepted Answer

$$\frac{17}{50}$$

Answer

$$\frac{22}{25}$$

Answer

$$\frac{39}{50}$$

Answer

$$\frac{3}{25}$$

Question 41

Select the correct answer...

Accepted Answer

$$f=132$$ because they are alternate angles.

Answer

$$f=132$$ because they are corresponding angles.

Answer

$$f=132$$ because they are co-interior angles.

Answer

$$f=48$$ because they are co-interior angles.

Question 42

This is an example of...

Accepted Answer

Translation

Answer

Dilation

Answer

Reflection

Answer

Rotation

Question 43

Are these two triangles congruent?

Accepted Answer

Yes - through the SAS rule

Answer

Yes - through SSS rule

Answer

No - they are not congruent

Answer

Don't have enough information yet

Question 44

Simplify $$3x^2y-4ab-x^2y+8ab$$

Accepted Answer

$$2x^2y+4ab$$

Answer

$$2x^2y+12ab$$

Answer

$$2x^2y-12ab$$

Answer

$$4x^2y+4ab$$

Question 45

Simplify $$\frac{3x^2y^4}{9x^4y}$$

Accepted Answer

$$\frac{y^3}{3x^2}$$

Answer

$$\frac{3y^3}{x^2}$$

Answer

$$\frac{x^2y^3}{3^{ }}$$

Answer

$$3x^2y^3$$

Question 46

Expand $$3a^2\left(2a+\frac{b}{a}\right)$$

Accepted Answer

$$6a^3+3ab$$

Answer

$$6a^3+3a^2b$$

Answer

$$6a^3+\frac{3a^2}{b}$$

Answer

$$6a^2+3a^2b$$

Question 47

The modal class of this data is

Accepted Answer

31-36

Answer

6

Answer

36

Answer

16-20

Question 48

Factorise $$4x^2y^4z^3+6x^5y^2z+8x^3y^3z^3$$

Accepted Answer

$$2x^2y^2z\left(2y^2z^2+3x^3+4xyz^2\right)$$

Answer

$$2xyz\left(2x^2y^4z^2+3x^5y+4xyz^2\right)$$

Answer

$$2x^2y^2\left(2y^2z^3+3x^3z+4xyz^3\right)$$

Answer

$$2x^3y^3z^3\left(2y^2z^2+3x^3+4xyz^2\right)$$

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