GRADE 7 MATH WORKSHEETS WITH ANSWERS

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".

Grade 7 math worksheets - Solution

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  = ⋅ 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 103    (B)  5.9853 x 10-3    (C)  59.853 x 102

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

Related web page "Scientific notation"

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ALGEBRA

Variables and constants

Writing and evaluating expressions

Solving linear equations using elimination method

Solving linear equations using substitution method

Solving linear equations using cross multiplication method

Solving one step equations

Solving quadratic equations by factoring

Solving quadratic equations by quadratic formula

Solving quadratic equations by completing square

Nature of the roots of a quadratic equations

Sum and product of the roots of a quadratic equations 

Algebraic identities

Solving absolute value equations 

Solving Absolute value inequalities

Graphing absolute value equations  

Combining like terms

Square root of polynomials 

HCF and LCM 

Remainder theorem

Synthetic division

Logarithmic problems

Simplifying radical expression

Comparing surds

Simplifying logarithmic expressions

Negative exponents rules

Scientific notations

Exponents and power

COMPETITIVE EXAMS

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APTITUDE TESTS ONLINE

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ACT MATH ONLINE TEST

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Test - II

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PEMDAS Rule

WORKSHEETS

Converting customary units worksheet

Converting metric units worksheet

Decimal representation worksheets

Double facts worksheets

Missing addend worksheets

Mensuration worksheets

Geometry worksheets

Comparing  rates worksheet

Customary units worksheet

Metric units worksheet

Complementary and supplementary worksheet

Complementary and supplementary word problems worksheet

Area and perimeter worksheets

Sum of the angles in a triangle is 180 degree worksheet

Types of angles worksheet

Properties of parallelogram worksheet

Proving triangle congruence worksheet

Special line segments in triangles worksheet

Proving trigonometric identities worksheet

Properties of triangle worksheet

Estimating percent worksheets

Quadratic equations word problems worksheet

Integers and absolute value worksheets

Decimal place value worksheets

Distributive property of multiplication worksheet - I

Distributive property of multiplication worksheet - II

Writing and evaluating expressions worksheet

Nature of the roots of a quadratic equation worksheets

Determine if the relationship is proportional worksheet

TRIGONOMETRY

SOHCAHTOA

Trigonometric ratio table

Problems on trigonometric ratios

Trigonometric ratios of some specific angles

ASTC formula

All silver tea cups

All students take calculus 

All sin tan cos rule

Trigonometric ratios of some negative angles

Trigonometric ratios of 90 degree minus theta

Trigonometric ratios of 90 degree plus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 180 degree minus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 270 degree minus theta

Trigonometric ratios of 270 degree plus theta

Trigonometric ratios of angles greater than or equal to 360 degree

Trigonometric ratios of complementary angles

Trigonometric ratios of supplementary angles 

Trigonometric identities 

Problems on trigonometric identities 

Trigonometry heights and distances

Domain and range of trigonometric functions 

Domain and range of inverse  trigonometric functions

Solving word problems in trigonometry

Pythagorean theorem

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Area and perimeter

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GEOMETRY

Types of angles 

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Sum of the angle in a triangle is 180 degree

Properties of parallelogram

Construction of triangles - I 

Construction of triangles - II

Construction of triangles - III

Construction of angles - I 

Construction of angles - II

Construction angle bisector

Construction of perpendicular

Construction of perpendicular bisector

Geometry dictionary

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Angle bisector theorem

Basic proportionality theorem

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HCF and LCM  word problems

Word problems on simple equations 

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Word problems on direct variation and inverse variation 

Word problems on unit price

Word problems on unit rate 

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Converting customary units word problems 

Converting metric units word problems

Word problems on simple interest

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Word problems on types of angles 

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems 

Profit and loss word problems 

Markup and markdown word problems 

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

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 

Profit and loss shortcuts

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Ratio and proportion shortcuts

Domain and range of rational functions

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Graphing rational functions

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

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6