**Grade 7 math worksheets with answers :**

Here we are going to see solutions of 10 problems that you find in the page "7th grade math worksheets".

**Question 1 :**

In a class test containing 15 questions, 4 marks are given for each correct answer and (-2) marks are given for every incorrect answer. James attempts all the questions but only 9 of the his answers are correct. what is his total score?

(A) 26 (B) 24 (C) 15

**Solution :**

Total number of questions = 15

Number of questions answered correctly by James = 9

Number of questions answered incorrectly by him

= 15 - 9 = 6

For each correct answer he will get +4 marks and for each questions he will get -2 marks.

Total score of James = 9 ⋅ 4 + 6 ⋅ (-2)

= 36 - 12

= 24

Hence total score of James is 24.

Related web page "Simplifying integers with different signs"

**Question 2 :**

A batsman scored the following number of runs in six innings:

36, 35, 50, 46, 60, 55 calculate the runs scored by him in an inning.

(A) 47 (B) 50 (C) 30

**Solution :**

To find the runs scored in one innings, we have to find the average.

= (36 + 35 + 50 + 46 + 60 + 55)/6

= 282/6

= 47

Hence he scored 47 runs in one innings.

Related web page "Word problems on average"

**Question 3 :**

A shop keeper sells mangoes in two types of boxes,one small and one big. A big box contains as many as 8 small boxes plus 4 loose mangoes. Set an equation which gives the number of mangoes in each small box. The number of mangoes in a big box is given to be 100.

(A) 32m = 100 (B) 8m + 4 = 100 (C) 4m + 100 = 4

Solution :

Number of mangoes in small boxes = m

Number of magoes in big box = 8m + 4

Total number of mangoes in big box = 100

Hence the required equation is 8m + 4 = 100.

Related web page "Writing linear equations from word problems"

**Question 4 :**

Solve -2(x + 3) = 8

(A) x = -5 (B) x = -7 (C) x = -8

Solution :

-2(x + 3) = 8

To get rid of -2, we may divide by -2 on both sides.

So , we get

x + 3 = -4

Subtract 3 on both sides

x + 3 - 3 = -4 - 3

x = -7

Related web page "Solve linear equations"

**Question 5 :**

Kevin's father's age is 5 years more than three times Kevin's age.Find Kevin's age, if his father is 44 years old.

(A) 15 years (B) 14 years (C) 13 years

**Solution :**

Let "x be Kevin's age

Kevin's father's age = 3x + 5

if his father's age = 44

3x + 5 = 44

Subtract 5 on both sides

3x = 44 - 5

3x = 39

Divide by 3 on both sides, we get

x = 13

Hence Kevin's age is 13 years.

Related web page "Problems on ages"

**Question 6 :**

If two lines intersect at a point, and if a pair of vertically opposite angles are acute angles, then the other pair of vertical opposite angles are known as _____________

(A) Acute angle (B) Obtuse angle (C) Right angle

**Solution :**

The other pair must be obtuse angle, because adjacent angles are supplementary.

Related web page "Lines and angles"

**Question 7 :**

Find the value of x in the following figure if the lines l and m are parallel

(A) 110° (B) 70° (C) 50°

∠POT + ∠TOL = 180

110 + ∠TOL = 180

∠TOL = 70

∠TOL = ∠OSM (corresponding angles)

Hence ∠OSM is 70°

Related web page "Angles formed by parallel lines and transversals"

**Question 8 :**

Find the angle in the below picture.

(A) 110° (B) 60° (C) 50 °

**Solution :**

An exterior angle of a triangle is equal to the sum of the opposite interior angles

110 = 50 + x

Subtract 50 on both sides

110 - 50 = x

x = 60

Hence the missing angle is 60°.

Related web page "Angles in a triangle"

**Question 9 :**

We have two vats each containing 2 mats and 2 cats sat on each of the mats. Each cat wrote 2 funny old hats. On each hat lay thin rats.On each rat perched 2 black bats. How many things are in our vats?

(A) 266 (B) 136 (C) 124

**Solution :**

Since Number of vats = 2

Number of mats in 1 vat = 2

Number of mats in 2 vats = 2 × 2 = 4

Number of cats on 1 mat = 2

Number of cats on 4 mats = 4 × 2 = 8

Number of funny old hat with 1 cat = 2

Number of funny old hat with 8 cats = 8 × 2 = 16

Number of thin rat on 1 old hat = 2

Number of thin rat on 16 old hats = 16 × 2 = 32

Number of black bats on 1 rat = 2

Number of black bats on 32 rats = 32 × 2 = 64

By adding 64 + 32 + 16 + 8 + 4 + 2, we get

= 126

Hence the answer is 126.

**Question 10 :**

Express the number 5985.3 in standard form

(A) 5.9853 x 10^{3 }(B) 5.9853 x 10^{-3 }(C) 59.853 x 10^{2}

**Solution :**

To write the given decimal in standard form, we have to move the decimal point 3 digits toward left.

So we have to use positive power.

Hence the answer is 5.9853 x 10^{3 }

Related web page "Scientific notation"

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