Scaling Factor

Q.

On the scale of $1$ unit length $=10$ crores, the bar of length $6$ units will represent ___ crores and of ___ units will represent $75$ crores.

Q. The number of apples sold by a shop is given in the table below:
$\begin{array}{cc}\text{Days}& \text{Number of apples sold}\\ \text{Monday}& 60\\ \text{Tuesday}& 45\\ \text{Wednesday}& 50\\ \text{Thursday}& 55\end{array}$
(a) If the picture of an apple represents 10 apples, then draw the pictograph for the above data.
(b) How many apples sold by a shopkeeper in all four days.

Q. The number of apples sold by a shop is given in the table below:
$\begin{array}{cc}\text{Days}& \text{Number of apples sold}\\ \text{Monday}& 60\\ \text{Tuesday}& 45\\ \text{Wednesday}& 50\\ \text{Thursday}& 55\end{array}$
(a) If the picture of an apple represents 10 apples, then draw the pictograph for the above data.
(b) How many apples sold by a shopkeeper in all four days.

Q. The given pictograph shows the number of water filters which were sold from January to April.

Key: Each represents 4 units of water filter.
How many water filters were sold altogether from January to April?

1. 92
2. 84
3. 23
4. 56

Q. The weights of 15 dogs are shown in the below stem-and-leaf plot. Which of the following is a false statement about the given plot?

1. The lowest weight of the dogs is 1.1 kilograms.
2. The data is spread from 1.1 to 4.9 kilograms.
3. Centre of data is 2.7 kilograms.
4. The outlier from the data is 4.9 kilograms.

Q.

The water level in a well was $20\mathrm{m}$ below ground level. During the rainy season, rain water collected in different water tanks was drained into the well and the water level rises $5\mathrm{m}$ above the previous level. The wall of the well is $1\mathrm{m}\mathrm{and}20\mathrm{cm}$ high and a pulley is fixed at a height of $80\mathrm{cm}$. Raghu wants to draw water from the well. The minimum length of the rope that he can use is,

1. $17\mathrm{m}$

2. $18\mathrm{m}$

3. $96\mathrm{m}$

4. $97\mathrm{m}$

Q. If one symbolrepresents 10 children, how many children are represented by ?

1. 20
2. 5
3. 25
4. 15

Q. The graph below shows the average number of cars parked in the parking area of an office during the week.
On which of the following days was the parking area the most crowded?

1. Monday
2. Tuesday
3. Thursday
4. Saturday

Q. A car and a bike symbol are used to represent 40 cars and 25 bikes respectively. How many such symbols would depict 600 cars and 350 bikes respectively?

1. 16 cars and 15 bikes
2. 16 cars and 14 bikes
3. 15 cars and 14 bikes
4. 15 cars and 15 bikes

Q. Observe the organised data and its pictographical representation and answer the question that follows:

Data:
$\begin{array}{cc}\text{Name of}& \text{Number of .}\\ \text{the Place}& \text{Participants.}\\ X& 4050\\ Y& 2700\end{array}$

Pictograph:
$\begin{array}{cc}\text{Name of}& \text{Number of}\\ \text{the Place}& \text{Participants.}\\ X& \square \square \square \square \square \square \square \square \square \\ Y& \square \square \square \square \square \square \end{array}$

How many participants does a $\square$ represent?

1. 350
2. 370
3. 450
4. 470

Q. If one symbol-represents 100 balls, how many symbols are to be drawn to represent 600 balls?

1. 8
2. 5
3. 6
4. 7

Q. A car and a bike symbol are used to represent 50 cars and 25 bikes respectively. How many such symbols would depict 400 cars and 200 bikes respectively?

1. 8 cars and 8 bikes
2. 4 cars and 8 bikes
3. 8 bikes and 4 cars
4. 4 cars abd 4 bikes

Q.

The following pictographs give us the number of guests who visited Pratik's house in the last 4 days. On which day, the number of guests were maximum? On this day, how many more guests came as compared to the previous day?

1. Saturday, 3

2. Saturday, 0.5

3. Saturday, 2

4. Sunday, 0

Q.

On the scale of $1$unit length equal to $10\mathrm{crore}$, the bar of the length of $6$ units will represent _____ crore and of _____ units will represent $75\mathrm{crore}$.

Q. A number is divisible by $12$. By what other numbers will that number be divisible?

Q.

On the scale $1unitlength=10million$, the bar of length of _______ units will represent $90million$.

Q. Vinita uses $\frac{1}{4}$ cup of apple sauce in place of every $\frac{1}{3}$ cup of butter in her cookie recipe. How many cups of apple sauce will Vinita use in place of 1 cup of butter?

1. $\frac{1}{12}$
2. $\frac{1}{7}$
3. $\frac{2}{4}$
4. $\frac{3}{4}$

Q. A football team gains 3 and 4 points for successive 2 days and loses 5 points on the third day. Find the total points scored by the team and also represent this in the tree diagram.

Q. A farmer can pick $12$ cabbages in $1$ hour. Working at the same rate, how long in hours would it take two farmers to pick $48$ cabbages?

1. $3$
2. $2$
3. $4$
4. $6$
5. $8$

Q.

If a water level starts at 6 feet, and rises 2 inches per hour, how deep will it be in 6 hours?

1. 6 Feet 6 Inches

2. 8 Feet

3. 6 Feet

4. 7 Feet

Q. A group of 11 explorers share a treasure of a precious metal in terms of its weight as follows:

$3explorersgetaneighthofakilogrameach,while5explorersgetaquarterkilogrameach.Therestoftheexplorersgethalfakilogramofthemetal,each.$

Plotting the given data as a line plot, we get _________

1. Plot 1
2. Plot 2
3. Plot 3
4. None of the above

Q. Observe the organised data and its pictographical representation and answer the question that follows:

Data:
$\begin{array}{cc}\text{Name of}& \text{Number of Govt.}\\ \text{the Place}& \text{Employees.}\\ X& 4800\\ Y& 4200\end{array}$

Pictograph:
$\begin{array}{cc}\text{Name of}& \text{Number of Govt.}\\ \text{the Place}& \text{Employees.}\\ X& \square \square \square \square \square \square \square \square \\ Y& \square \square \square \square \square \square \square \end{array}$

How many employees does a $\square$ represent?

1. 400
2. 500
3. 600
4. 700

Q.

If represents 6 balloons, number of symbols to be drawn to represent 72 balloons is ___ (mention numerical value).

Q. The given pictograph shows the number of students in three different schools.

What are the total number of students in all the schools combined?

1. 6, 000
2. 8, 000
3. 10, 000
4. 12, 000

Q.

What is the scale of the bar graph shown?

1. 1 unit = 20 runs

2. 1 unit = 10 runs

3. 1 unit = 5 runs

4. 1 unit = 15 runs

Q. How many quarts equals five gallons, and how many liters equals five gallons ?

Q.

123XYZ , 456ABC , 789UVW , 012DEF , ?

1. 234STU

2. 345RST

3. 234RST

4. 345QRS

5. 345STU

Q.

What would be your fuel bill to drive across the U.S. (3, 000 miles) paying $5/gallon at 30 miles per gallon?

1. $50

2. $600

3. $300

4. $500

Q. A man uses $\frac{1}{3}$ of his land for growing mangoes, $\frac{1}{4}$ for bananas, $\frac{3}{8}$ for apples and the remaining $18$ hectares for oranges.
(a) how much land does he have?

Q.

If one symbol represents 10 bottles of coke then how are 25 bottles of coke represented ?

1. 

2. 

3. 

4.