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2017 National Quarter Final mathematics Topic 2 Free

Algebra

Riddle: the word operation in mathematics and in a hospital · Sub-topic 1

QUARTER FINAL STAGE 2017

Prempeh College

Aduman SHS

GSTS


ROUND 5 - RIDDLE

RIDDLE

I am very common in mathematics.

In a hospital, I am a procedure performed in the theatre.

I am the process.

ANSWER: Operation

EXPLANATION:

In mathematics, an operation is a process such as addition, subtraction, multiplication or division that combines numbers to give a result.

In a hospital, an operation is a surgical procedure carried out in the operating theatre.


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PRACTICE QUESTIONS

1. RIDDLE:

I am a word used very often in mathematics.

On a tennis court, I am a group of games won by one player.

The sun does me every evening when it goes down.

Venn diagrams are drawn to show how two or more of me overlap.

My members are called elements and are listed inside curly brackets.

In mathematics, I am a well-defined collection of objects.

Who am I?

ANSWER: SET

EXPLANATION:

In mathematics, a set is a well-defined collection of elements, for example $\{2, 4, 6\}$.

In tennis, a set is a group of games, and the sun is said to set when it goes down.


2. RIDDLE:

I am a word used in both algebra and botany.

On a plant, I grow below the ground and absorb water.

I am found where the graph of $y = f(x)$ crosses the x-axis.

For $x^2 - 9 = 0$, the numbers $3$ and $-3$ are examples of me.

The sign $\sqrt{\ }$ is named after me.

In algebra, I am a value of the variable that makes an equation true.

Who am I?

ANSWER: ROOT

EXPLANATION:

A root of $f(x) = 0$ is a value of $x$ that satisfies the equation.

$x^2 - 9 = 0$ gives $x = 3$ or $x = -3$.

A plant's roots grow below the ground.


3. RIDDLE:

I am a word used in statistics and in everyday speech.

In statistics, I am a measure of central tendency.

I am easily affected by extreme values in a data set.

In everyday speech, I describe a person who is unkind or stingy.

For the data 2, 4 and 6, I equal 4.

To find me, add all the values and divide by how many there are.

Who am I?

ANSWER: MEAN

EXPLANATION:

The mean is the arithmetic average, $\bar{x} = \dfrac{\sum x}{n}$.

In everyday speech, a mean person is unkind or stingy.


4. RIDDLE:

I am a word used in mathematics and in social life.

In social life, I am a formal gathering such as a wedding reception.

In mathematics, I am a rule that links two sets.

A vertical line never cuts my graph more than once.

I am often written as $f(x)$.

I pair every input with exactly one output.

Who am I?

ANSWER: FUNCTION

EXPLANATION:

A function maps each element of its domain to exactly one element of its range.

A function is also a formal social gathering or ceremony.


5. RIDDLE:

I am a word used in arithmetic and in business.

In business, I am an item made in a factory and sold to customers.

In arithmetic, I am the result of one of the four basic operations.

For the numbers 6 and 7, I am 42.

The sign $\times$ is used to find me.

I am the answer when numbers are multiplied together.

Who am I?

ANSWER: PRODUCT

EXPLANATION:

A product is the result of multiplication: $6 \times 7 = 42$.

In business, a product is a good made for sale.


6. RIDDLE:

I am a word used in mensuration and in music.

One book in a series of books is also called by my name.

On a radio, turning my knob up makes the sound louder.

I am measured in cubic units such as $\text{cm}^3$ or $\text{m}^3$.

For a cuboid, I equal length × breadth × height.

In mensuration, I measure the amount of space an object occupies.

Who am I?

ANSWER: VOLUME

EXPLANATION:

The volume of a cuboid is $V = l \times b \times h$, in cubic units.

On a radio, the volume is the loudness of the sound.