30-Minute Challenge For O-Level Students

Can you solve 60 syllabus-based questions using a

Scientific Calculator in 30 minutes?

Scientific Calculators

are a time savinggadget for

Students and Teachers

seconds

Each O-Level Question should take you less than

to solve/ verify using a scientific calculator

How does VERIFICATION

help students?

It immediately informs you that something is

wrong in your workingMistakes

EXAMPLE :

Learn the Different Functions present in the

calculator so that you can easily

VERIFYAnswers

PracticePRACTICEPractice

Advanced functions1.Spreadsheet calculations

2.Matrix calculations

3.Vector calculations

4.Multiline display

5.Integration calculations

6.Differential calculations

7.Equation calculations

8.Inequality calculations

9.Advanced statistical distribution calculations

10.Ratio calculations

11.Metrix conversions

12.Scientific constants

13.Variables list

14.Statistics list

15.Digit separator

16.Engineering symbols

17.Online Visualization Service Using QR Code

8.Inequality calculations

9.Advanced statistical distribution calculations

5.Integration calculations

15.Digit separator

Introduction

EQUATIONS

Solve the equation2𝑥−3

4+

5−𝑥

3=

0.

Solve the equation 45 − 𝑝 + 3 = 2𝑝.

If 4

𝑥=

32

48then what will be value of 𝑥 ?

1/10

EQUATIONSJack opens a bank account paying simple interest.

He pays in $800 and leaves it in the account for 4

years. At the end of 4 years he closes the account

and receives $920.

Calculate the percentage rate of simple interest

paid per year.

1/10

EQUATIONSAda invests $600 in an account that earns simple interest. At the

end of 3 years, the investment is worth $681.

Calculate the rate of simple interest per year.

Solution:

𝐴 = 𝑃 1 +𝑟𝑡

100

681 = 600 (1 + 𝑟 ×3

100)

Use equation solver rather than rearranging the whole equation

1/10

EQUATIONS (TRY YOURSELF)The sum of three consecutive integers is 84.

Find the lowest of the three integers.

Solve the following equations:

1. 𝟑𝒙 + 𝟓 = 𝟗𝒙 + 𝟑(𝒙 + 𝟓)

2. The sum of three consecutive even numbers is 24 .

Find the lowest number.

3.𝟑𝒙+𝟒

𝟗𝒙+𝟓=

𝟓

𝟔

1/10

SIMULTANEOUS EQUATIONS

Solve the simultaneous equations.

𝟑𝒙 + 𝟒𝒚 = 𝟏𝟕𝟐𝒙 − 𝟓𝒚 = 𝟏𝟗

wz123=4=17=2=p5=19===

2/10

Solve the simultaneous equations.

2𝑥 − 𝑦 = 6

4𝑥 + 3𝑦 = −3

SIMULTANEOUS EQUATIONS

2/10

QUADRATIC EQUATIONSSolve the equation 3𝑦2 + 11𝑦 + 4 = 0.

Give your answers correct to 2 decimal places.

3/10

QUADRATIC EQUATIONS

Solve the equation 3𝑦2 + 11𝑦 + 4 = 0.

Give your answers correct to 2 decimal

places.

3/10

QUADRATIC EQUATIONS

Solve algebraically the equation 2𝑥2 +

3𝑥 − 7 = 0, giving each answer correct

to 2 decimal places.

3/10

QUADRATIC EQUATIONS

Find the coordinates

maximum/minimum point (Vertex or

turning point) of the equation

𝟐𝒙𝟐 − 𝟑𝒙 − 𝟐 = 𝟎

3/10

MATRICES

𝐀 = 1 2−3 0

B = 3 1−2 −1

Find A – 2B

Find A-1

4/10

TRY Yourself

A = 4 3−1 1

and B = 5 4−3 −2

Find 2A – B

4/10

COLON FUNCTION

If 𝑎 =1

0.01, 𝑏 =

2

0.04and 𝑐 =

3

0.05then

which of the following order is correct?

A) 𝑎 < 𝑏 < 𝑐 B)

𝑏 < 𝑐 < 𝑎

C) 𝑐 < 𝑎 < 𝑏 D)

𝑐 < 𝑏 < 𝑎

5/10

TABLE FUNCTION

The 𝑛th term, 𝑆𝑛 , of a different sequence is

found using the formula 𝑆𝑛 = 𝑛2 + 3𝑛

Work out the first four terms of the sequence.

6/10

The table below shows some of the

values of 𝑥 and the corresponding

values of 𝑦 for

𝑦 = 2𝑥 − 3 (𝑥 + 2)

𝑥 –3 –2 –1 0 1 2 3

𝑦 9 0 –3 4 15

6/10

Try yourself

The table below shows some values of 𝑥 and the

corresponding values of 𝑦 for

𝑦 = 8𝑥2 −𝑥3

2

𝑥 1 2 3 4 5 6 7

𝑦 137.5 180 220.5

6/10

FUNCTIONS AND EVALUATION OF EXPRESSIONS WITH DIFFERENT VARIABLES

A Function is defined by f 𝑥 =2𝑥−3

4

Find f(2)

7/10

Functions

𝑓 =6𝑐2 − 𝑑

4

Find 𝑓 when 𝑐 = 8 and 𝑑 = −4.

7/10

Practice on calc function

1. Given that 𝒇(𝒙) = 𝟓𝒙 − 𝟑 find the value of f(4)

2. Given that 𝒇(𝒙) = 𝟐𝒙𝟐 − 𝟑𝒙 + 𝟔, find the value of f(3)

3. Given that 𝒇(𝒙) =𝟑𝒙𝟑+𝒙𝟐

𝟓𝒙+𝟑, find the value of f (

𝟐

𝟑)

7/10

Try yourself

f 𝑥 =3𝑥 + 2

5𝐱 + 𝟑

Find f(−4)

The value of 𝑔 such that f 𝑔 = 7 (Hint: Use SOLVE function)

7/10

STATISTICS MENUThe heights of 150 children are measured. The results are summarized in

the table.

Height(ℎ cm) 130 < ℎ ≤ 140 140 < ℎ ≤ 150 150 < ℎ ≤ 155 155 < ℎ ≤ 160 160 < ℎ ≤ 170 170 < ℎ ≤ 190

Freq-uency 10 30 20 30 35 25

Calculate an estimate of the mean height.

First, we need to turn the frequency option on.

Now go to statistics menu and enter data

8/10

STATISTICS (Try yourself)

Age (𝑦 years) 0 < 𝑦 ≤ 20 20 < 𝑦 ≤ 40 40 < 𝑦 ≤ 60 60 < 𝑦 ≤ 80

Frequency 34 57 85 24

The table below shows the distribution of the ages of these customers.

8/10

Ratio

Exchange rate

£1 = $2.06

£1 = 72 rupees

Manraj changes 25,200 rupees into dollars ($).

Calculate how many dollars he receives

9/10

Sine and Cosine Rules using solve function

10/10

Sine and Cosine Rules using solve function

10/10

CompanionBook

Will teach you how to

VERIFY Answers from

O-Level Syllabus