**8th grade math worksheet 5 answer :**

Here we are going to see 10 practice questions of mixed topics. We have been preparing this set of questions in order to test how you understood the topics.

**Question 1 :**

Find the value of x in 12 : 16 :: x : 20

(A) 14 (B) 14 (C) 15

**Solution :**

Since the given two ratios are in proportion, we have to equate the ratios.

(12 / 16) = (x / 20)

x = 12 (20)/16

x = 3(5)

= 15

Hence the value of x is 15.

**Question 2 :**

A fort had enough food for 120 soldiers for 200 days. After 5 days 30 soldiers leave the fort. How long will the remaining food last now?

(A) 260 days (B) 140 days (C) 120 days

**Solution :**

Provision available for 120 men for 200 days .

total provision can be consumed by 1 man = 120 × 200 = 24000 days .

Since , after 5 days 30 men left

Total provision consumed in 5 days= 120 × 5 = 600 men days

total provision left = 24000 - 600 = 23400 men days

Persons left after 5 days = 120 - 30 = 90 men

No of days it can last for remaining people = 23400/90 = 260 days

Thus, the remaining provision will last for 260 days.

**Question 3 :**

If a scooter travels 155 km on 5 liters of petrol, how many kilometers will it travel on 9 liters of petrol ?

(A) 139 km (B) 279 km (C) 100 km

**Solution :**

Distance traveled by the scooter by consuming 5 liters of petrol = 155 km

Distance traveled by consuming 1 liter of petrol = 155/5

= 31 km

Number of km traveled by the scooter by consuming 9 liters of petrol = 31 **⋅** 9

= 279 km

**Question 4 :**

If 20 men can build a wall 112 meters long in 6 days, what length of a similar wall can be built by 25 men in 3 days?

(A) 80 meters (B) 70 meters (C) 20 meters

**Solution :**

**Step 1 :**

Consider the number of men and the length of the wall. As the number of men increases from 20 to 25, the length of the wall also increases. So it is in Direct Variation.

So, the proportion is 20 : 25 :: 112 : x ...... (1)

**Step 2 :**

Consider the number of days and the length of the wall. As the number of days decreases from 6 to 3, the length of the wall also decreases. So, it is in Direct Variation.

So, the proportion is 6 : 3 :: 112 : x ..... (2)

Combining (1) and (2), we can write

20 **⋅** 6 **⋅ x **= 25 **⋅** 3 **⋅** 112

x = (25 **⋅** 3 **⋅** 112) / (20 **⋅** 6)

x = 70 meter

**Question 5 :**

ABCD is a parallelogram in which angle of DAB and DBC 75°, 60° respectively. Calculate the angles CDB and ADB.

(A) 49°, 51° (B) 45°, 60° (C) 21°, 75°

**Solution :**

<DAB + <ADC = 180

75 + <ADC = 180

<ADC = 180 - 75 = 65°

<ADC = <ADB + <BDC -----(1)

105 = 60 + <BDC

105 - 60 = <BDC

<BDC = 45°

<ADB = 60° (Alternate angles)

Hence the required angles are 45° and 60°

**Question 6 :**

If the selling price of 10 articles is equal to the cost price of 11 articles.Find the profit percent.

(A) 15% (B) 10% (C) 12%

**Solution :**

Now we calculate the cost price of 9 articles.

Cost price of 9 articles = 1 x 9 = $ 9

Thus,

Profit made on the selling of 9 articles

= Selling price of 9 articles - Cost price of 9 articles

Profit made on the selling of 9 articles = 10 - 9

Profit made on the selling of 9 articles = $ 1

% Profit or % Gain = ( Profit / Cost Price ) x 100 %

% Gain = ( 1 / 9 ) x 100 %

% Gain = 11.11 %

Hence the answer is 12%

Let us look into the solution of next problem on "8th grade math worksheet 5 answer"

**Question 7 :**

Find AC when AB = 15 cm, AD = 10 cm, AE = 8 cm

(A) 12 cm (B) 10 cm (C) 13 cm

**Solution :**

DE || BC

AD / DB = AE / EC ------(1)

AB = 15 cm

AD + DB = 15

10 + DB = 15

DB = 15 - 10 = 5 cm

AD = 10 cm, AE = 8 cm

Applying these values in the first equation, we get

10 / 5 = 8 / EC

EC = 8 (5) / 10

EC = 4 cm

AC = AE + EC ==> 8 + 4 = 12 cm

Hence the length of AC is 12 cm.

Let us look into the solution of next problem on "8th grade math worksheet 5 answer"

**Question 8 :**

Angle ABC measures 250°, find the measure of minor of arc AC.

(A) 150° (B) 110° (C) 140°

**Solution :**

<ACB = 360 - 250

= 110°

Hence the required angle is 110°.

Let us look into the solution of next problem on "8th grade math worksheet 5 answer"

**Question 9 :**

Find the mean of all odd numbers between 80 and 88.

(A) 84 (B) 30 (C) 62

**Solution :**

To find the mean of odd numbers between 80 and 88.

let us list out the numbers between 80 and 88.

81, 82, 83, 84, 85, 86, 87

Odd numbers are 81, 83, 85 and 87.

Mean = (81 + 83 + 85 + 87)/4

= 336/4

= 84

**Question 10 :**

The number of times a particular observation occur in a data is called its __________

(A) Frequency (B) Mean (C) Median

**Solution :**

The number of times a particular observation occur in a data is called its frequency.

After having gone through the stuff given above, we hope that the students would have understood "8th grade math worksheet 5 answer"

Apart from the stuff given above, if you want to know more about "8th grade math worksheet 5 answer", __please click here.__

Apart from the stuff given on, if you need any other stuff in math, please use our google custom search here.

Widget is loading comments...

You can also visit our following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**