GRADE 7 MATH WORKSHEET

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 his answers are correct. what is his total score?

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.

Question 4 :

Solve for x :

-2(x + 3) = 8

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.

Question 6 :

If two lines intersect at a point, and if a pair of vertically opposite angles are acute angles, what will the other pair of vertically opposite angles be?

Question 7 :

In the figure shown below, if the lines L and M are parallel, find the value of x.

Question 8 :

In the figure shown below, find the value of x.

Question 9 :

I have 2 vats each containing 2 mats 2 cats sat on each of the mats each cat wore 2 hats on each hat lay to rats on each rat perched 2 thin bats how many things are there in my vats?

Question 10 :

Express the number 5985.3 in standard form.

Answers

1. Answer :

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.

James' total score :

= 9 ⋅ 4 + 6 ⋅ (-2)

 = 36 - 12

= 24

2. Answer :

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

= ⁽³⁶ ⁺ ³⁵ ⁺ ⁵⁰ ⁺ ⁴⁶ ⁺ ⁶⁰ ⁺ ⁵⁵⁾⁄₆

= ²⁸²⁄₆

= 47

Therefore, the batsman scored 47 runs in one innings.

3. Answer :

Number of mangoes in small boxes = m.

Number of magoes in big box = 8m + 4.

Total number of mangoes in big box = 100.

The required equation :

8m + 4  =  100

4. Answer :

-2(x + 3) = 8

Use the distributive property.

-2(x) - 2(3) = 8

-2x - 6 = 8

Add 6 to both sides.

-2x = 14

Divide both sides by -2.

x = -7

5. Answer :

Let x be the age Kevin.

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

Given : Father's age = 44.

3x + 5 = 44

Subtract 5 from both sides.

3x = 39

Divide both sides by 3.

x = 13

Therefore, Kevin's age is 13 years.

6. Answer :

If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertical opposite angles must be obtuse angles.

7. Answer :

In the figure shown above, the lines L and M are parallel and the line t is transversal. 110° and y are linear pair.

110° + y = 180°

Subtract 110° from both sides.

y = 70°

Since x and y are alternate interior angles, they must be equal.

Therefore,

x = 70°

8. Answer :

Exterior Angle Theorem :

In a triangle, the measure of an exterior angle is equal to sum of the measures of two remote interior angles.

In the triangle shown above, 110° is an exterior angle and x and 50° are the two remote interior angles.

By Exterior Angle Theorem,

x + 50° = 110°

Subtract 50° from both sides.

x = 60°

9. Answer :

There are two vats

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

Number of things in in my vats :

= 64 + 32 + 16 + 8 + 4 + 2

= 126

10. Answer :

5985.3

Here, non zero digit comes first and decimal point comes next. 

We have to move the decimal point to the left. 

There are three digits between the 1^st non zero digit and the decimal point.

So, the decimal point has to be moved three digits to the left and exponent of 10 should be 3 (positive integer).

Therefore, the scientific notation of 5985.3 is

5.9853 x 10³

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