**Question 1 :**

The temperature at 12 noon was 10° C above zero.If it decreases at the rate of 2°C per hour until midnight, at what time would the temperature be 8°C below zero?

(A) 3 pm (B) 9 pm (C) 8 pm

**Solution :**

Temperature at 12 noon = 10° C

Decreasing rate = 2°C per hour

Total fall of temperature from 10° C to 0° C and 0° C to 8° C = -10 - 8 = -18

Time taken = -18/2 = 9 hours

At 9 pm the temperature will be 8°C below zero.

**Question 2 :**

An elevator decends into a mine shaft at the rate of 6 m/min.If the decline starts from 10 m above the ground level. Calculate how long will it take to reach -350 m ?

(A) 1 hour (B) 5 hours (C) 2 hours

**Solution :**

Starting position of mine shaft is 10 m above the ground but it moves in opposite direction.

So, it travels the distance (–350) m below the ground.

The total distance covered by mine shaft

= 10 m – (–350) m = 10 + 350 = 360 m

Now, time taken to cover a distance of 6 m by it

= (1/6) minute

Time taken to cover a distance of 360 m = (1/6) **⋅** 360

60 minutes = 1 hour

Thus, in one hour the mine shaft reaches –350 below the ground.

**Question 3 :**

How much less is 28 km than 46.2 km?

(A) 18.2 km (B) 14.6 km (C) 12.5 km

**Solution :**

In order to find 28 km is how much less than 46.2 km, we have to perform subtraction.

46.2 - 28 = 18.2 km

**Question 4 :**

Solve 5p + 2 = 17

(A) p = 2 (B) p = 5 (C) p = 3

**Solution :**

5p + 2 = 17

Subtract both sides by 2

5p = 17 - 2

5 p = 15

Divide both sides by 5

p = 15/5 = 3

So, the value of p is 3.

**Question 5 :**

When two lines l and m meet, we say they intersect, the meeting point is called the __________________

(A) Point of contact

(B) Point of intersection

(C) None of these

**Solution :**

The meeting point of two lines is called the point of intersection.

**Question 6 :**

Find the value of x in the following triangle

(A) 50° (B) 70° (C) 80°

**Solution :**

In a triangle, an exterior angle is equal to the sum of the interior opposite angles

x = <ABC + <ACB

x = 30 + 40

x = 70°

**Question 7 :**

The population of a city reduced from 25,000 to 24,500. Find the percentage decrease.

**(A) 5% (B) 2% (C) 1%**

**Solution :**

Original population = 25000

Reduced population = 24500

Difference between old and new population

= 25000 - 24500

= 500

Decrease percentage = (500 / 25000) ⋅ 100

= 2%

**Question 8 :**

A wire is in the shape of square of side 10 cm. If the wire is rebent in to a rectangle length 12 cm, calculate its width.

(A) 35% (B) 27% (C) 75%

**Solution :**

Perimeter of square = Perimeter of rectangle

Side length of square a = 10 cm

4a = 4 (10) = 40

Perimeter of rectangle = 40

2 (l + w) = 40

2(12 + w) = 40

12 + w = 20

Subtract both sides by 12

w = 20 - 12 = 8 cm

Hence the width of rectangle is 8 cm.

**Question 9 :**

Two sides of a parallelogram ABCD are 6cm and 4cm. The height corresponding to the base of CD is 3 cm. Find the area of the parallelogram

(A) 7 cm^{2} (B) 15 cm^{2} (C) 18 cm^{2}

**Solution :**

Area of parallelogram ABCD = Base ⋅ Height

Area of parallelogram ABCD = 6(3)

= 18 cm^{2}

**Question 10 :**

Diameter of a circular garden is 9.8 m. Calculate its area.

(A) 50 cm (B) 64 cm (C) 30 cm

**Solution :**

Diameter of circular garden = 9.8 m

r = 9.8/2 = 4.9

Area of circular garden = πr^{2}

= (22/7) (4.9)^{2}

= 75.46 m^{2}

If you need any other stuff in math, please use our google custom search here.

HTML Comment Box 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**