Edexcel Class 7 Math Crash Course - Arif Sir's Science Hub

About Course

Edexcel Class 7 Math Crash Course

Welcome to our Edexcel Class 7 Math Crash Course! Are you ready to dive into the exciting world of mathematics and excel in your academic journey? You’re in the right place! Our crash course is meticulously designed to provide you with the essential knowledge and skills required to succeed in mathematics at the Class 7 level. Led by experienced educators passionate about mathematics education, our course promises to be an enlightening and enriching experience.

Why Choose Our Course:

Comprehensive Learning: Our crash course covers all essential topics in mathematics prescribed by the Edexcel curriculum for Class 7. From arithmetic to algebra, from geometry to statistics, we ensure thorough coverage of all key areas, laying a strong foundation for future mathematical pursuits.
Expert Guidance: Learn from seasoned instructors who possess a deep understanding of mathematics and a dedication to student success. Our teachers are committed to breaking down complex concepts into easy-to-understand explanations, ensuring you grasp every concept with confidence.
Interactive Classes: Engage in dynamic and interactive lessons designed to spark curiosity and foster active participation. Through problem-solving activities, group discussions, and interactive exercises, you’ll have the opportunity to explore mathematical concepts in a tangible and engaging way.
Practical Application: Apply theoretical knowledge to real-world scenarios through practical problem-solving exercises and application-based learning. Our crash course emphasizes the practical application of mathematical principles, empowering you to develop critical thinking and problem-solving skills.
Flexible Schedule: We understand that every student has unique commitments. That’s why our crash course offers flexible scheduling options, allowing you to choose classes that fit your schedule and commitments.
Conducive Learning Environment: Our institute provides a welcoming and conducive learning environment where students can feel comfortable and motivated to excel. With state-of-the-art facilities and resources at your disposal, you’ll have everything you need to succeed in your mathematical studies.

Course Structure:

Our Edexcel Class 7 Math Crash Course is thoughtfully structured to optimize your learning experience. Here’s an overview of what to expect:

Duration: The crash course spans [4 weeks/months], with classes held [3 times] per week.
Content Coverage: We cover essential mathematical topics relevant to Class 7, focusing on core concepts and practical applications.
Class Format: Each class combines theoretical instruction with practical problem-solving sessions, ensuring a well-rounded learning experience.
Assessments: Throughout the course, you’ll have opportunities to demonstrate your understanding through quizzes, assignments, and interactive assessments.

Enroll Now:

Don’t miss out on the opportunity to enhance your understanding of mathematics and boost your academic performance! Enroll in our Edexcel Class 7 Math Crash Course today and embark on a journey of mathematical discovery and achievement. For inquiries and enrollment, contact us at [email protected] or call us at +8801327331903. Let us help you unlock your mathematical potential and succeed in your academic endeavors!

Fundamental arithmetic operations: Addition, subtraction, multiplication, and division.
Algebraic expressions: Simplifying, evaluating, and solving equations.
Geometry: Understanding shapes, angles, and measurements.
Data analysis: Collecting, organizing, and interpreting data.
Fractions and decimals: Operations and conversions.
Ratio, proportion, and percentage: Solving problems using ratios and percentages.
Problem-solving skills: Applying strategies to solve complex math problems.
Critical thinking and logical reasoning: Analyzing problems and making connections.

Course Content

Chapter-1. Integers (number)

Lesson-1.1.1- Add, subtract, multiply and divide positive and negative numbers in context.
00:00
Lesson-1.1.2- Use the terminology of primes, multiples, factors, common multiples, common factors, highest common factor and lowest common multiple.
00:00
Lesson-1.1.3- Identify common prime factors, common factors and common multiples.
00:00
Lesson-1.1.4- Identify highest common factors (HCF), lowest common multiples (LCM) and prime factors and use to solve problems.
00:00
Lesson-1.1.5- Express an integer as a product of its prime factors.
00:00
Lesson-1.1.6-Know square numbers up to 144
00:00
Lesson-1.1.7- Know cube numbers up to 125.
00:00
Lesson-1.1.8- Know exact square roots up to 144 and exact cube roots up to 125.
00:00
Lesson-1.1.9- Use index notation and index laws.
00:00
Lesson-1.1.10- Use index laws with zero and negative indices.
00:00
Lesson-1.1.11- Use order of operations to calculate combinations of powers, roots and brackets.
00:00
Lesson-1.1.12- Round integers up to three significant figures. Identify upper and lower bounds for discrete data.
00:00

Chapter-2. Fractions and decimals (number )

Chapter-3. Percentages (number)

Lesson-3.1.1- Find equivalent fractions, decimals and percentages, including mixed numbers.
00:00
Lesson-3.1.2- Write a number as a fraction and/or as a percentage. A student got 13 questions out of 15 correct on a test. What fraction of the questions did he get correct? What percentage of the questions did he get correct?
00:00
Lesson-3.1.3- Calculate percentages of amounts. What is 13% of $65?
00:00
Lesson-3.1.4- Compare and order decimals, fractions and percentages, include writing statements using inequality signs: >, <, , 
00:00
Lesson-3.1.5- Use the equivalence of fractions, decimals and percentages to solve problems by comparing proportions.
00:00
Lesson-3.1.6- Write a quantity as a percentage where the quantities are measured in different units.
00:00
Lesson-3.1.7- Calculate percentage increase and decrease.
00:00
Lesson-3.1.8- Calculate percentage change. The price of a car goes up from $15 000 to $18 000 What was the percentage increase in the price of the car?
00:00
Lesson-3.1.9- Use reverse percentages to calculate the original amount. The cost of a pair of gloves went up by 15% The gloves now cost $37 How much did they cost before they went up?
00:00
Lesson-3.1.10- Calculate simple interest. I invested $200 in a bank account The account gives me 4% simple interest per annum If I leave the money alone in the account for 5 years, how much interest will I earn?
00:00
Lesson-3.1.11- Calculate compound interest. A woman invests £7 000 for 5 years at 2% per annum compound interest. Calculate the value of the investment at the end of 5 years.
00:00
Lesson-3.1.12- Solve problems in context, involving percentage increase, decrease and change.
00:00
Lesson-3.1.13- Use estimates to check calculations. Use priority of operations for calculations involving the four operations with integers, fractions and decimals, including powers, roots and brackets.
00:00
Lesson-3.1.14- Solve problems in context, involving the four operations with integers, fractions, decimals, powers, roots and brackets. Add brackets to make this calculation correct: 9 + 2 × 6 − 3 = 15
00:00

Chapter-4. Ratio and proportion (number)

Chapter-5. Standard form (number)

Chapter-6. Expressions and Formulae (Algebra)

Lesson-6.1.1- Write expressions using correct algebraic notation. Simplify algebraic expressions by collecting like terms. 6a + 7 + 3a^2 – 4a – 3 + 5a^2
00:00
Lesson-6.1.2- Simplify algebraic expressions involving multiplication and division.
00:00
Lesson-6.1.3- Expand brackets and simplify expressions involving a bracket and/or powers.
00:00
Lesson-6.1.4- Factories expressions. 2x − 8; 8st – t^2; 4a^2 + 12a; 24xy^2 – 6y^4
00:00
Lesson-6.1.5- Substitute values into expressions and formulae and/or including powers, roots and brackets. If a = 3 and b = 4, evaluate: a² +√9b – (ab + 3)
00:00
Lesson-6.1.6- Solve problems involving formulae and expressions. A power company uses the formula: C = 0.25h + 0.15r + 30 to calculate the total cost, C, of their customers’ bills where h = number of units used at the higher rate r = number of units used at the regular rate If a customer uses 175 units at higher rate and 250 units at the regular rate, what will be the total costs of their bill?
00:00
Lesson-6.1.7- Simplify algebraic expressions using the index laws. t × t × t= t³
00:00
Lesson-6.1.8- Write expressions and formulae involving one or more variables. A hotel charges $60 per night to rent a room, plus a surcharge of $10 per person per stay. Write a formula to show the relationship between the cost, C, the number of nights,
00:00
Lesson-6.1.9- Substitute values into a formula and find the value of a variable that is not the subject. F=ma If F= 8.4 and a = 70, find m
00:00
Lesson-6.1.10- Change the subject of a formula, involving the four operations and/or powers and roots.
00:00
Lesson-6.1.11- Use index notation and index laws with positive, negative and zero powers.
00:00
Lesson-6.1.12- Expand the product of two linear expressions. (x + 3)(x − 4)
00:00
Lesson-6.1.13- Factorize quadratic expressions of the form x² + bx + c. Factorize x² − 7x − 30
00:00
Lesson-6.1.14- Factorize the difference of two squares. x² – 36 = (x−6)(x +6)
00:00
Lesson-6.1.15- Solve problems in context, involving formulae and expressions. The perimeter, P, of a rectangle can be found using the formula: P = 2l + 2w Where l = length of the rectangle and w = width of the rectangle The perimeter of a rectangle is 156 cm The length of the rectangle is twice as long as its width. What is the length of the rectangle?
00:00

Chapter-7. Equations (Algebra)

Chapter-8. Sequences (Algebra)

Chapter-9. Graphs (Algebra)

Lesson-9.1.1- Recognise, name and plot graphs parallel to the axes and the graphs of y=x and y=−x
00:00
Lesson-9.1.2- Plot linear graphs using a table of values. Plot the graph y =2x + 3
00:00
Lesson-9.1.3- Find the midpoint of a line segment, given two coordinates. Find the midpoint of a line with ends at (−2, 3) and (6, 10).
00:00
Lesson-9.1.4- Solve problems involving coordinates and straight lines. Given three coordinates A, B, C, write down the coordinates of D such that ABCD is a parallelogram.
00:00
Lesson-9.1.5- Recognize, draw and interpret graphs showing constant rates of change. A tap runs at a constant rate. After 8 minutes, the tap has run 75 litres of water. Plot this information on a graph. Use your graph to estimate how long it took to run 40 liters of water.
00:00
Lesson-9.1.6- Draw, use and/or interpret distance-time graphs. Vladimir leaves home at 08 00 He travels for 30 minutes at a constant speed until he reaches a shop, 3 km away. He stays at the shop for 45 minutes, then returns home arriving at 09 35 Plot this information on a distancetime graph. Which part of his journey was the fastest? Explain how you know this from your graph.
00:00
Lesson-9.1.7- Solve problems by drawing and interpret linear conversion graphs. Currency conversion graphs.
00:00
Lesson-9.1.8- Solve problems by drawing and interpreting real-life non-linear graphs. Read values and describe trends from a real-life graph.
00:00
Lesson-9.1.9- Solve problems in context by drawing and interpreting real-life linear and quadratic graphs. Use the distance-time graph to work out Vladimir’s speed on his journey home.
00:00
Lesson-9.1.10- Calculate the gradient and y-intercept of a linear graph of the form y = mx +c
00:00
Lesson-9.1.11- Find the equation of a straight line graph in the form y = mx +c
00:00
Lesson-9.1.12- Recognize and draw and/or sketch graphs with equations of the form y = mx +c and ax + by = c. Draw the graphs: y =3x – 2 5x + 6y=30
00:00
Lesson-9.1.13- Compare linear graphs using gradients and y-intercept. Write down the equation of a line that is parallel to y=3x + 2
00:00
Lesson-9.1.14- Plot graphs of quadratic functions using a table. Plot the graph y =2x² − 3
00:00
Lesson-9.1.15- Solve a pair of linear simultaneous equations by drawing graphs. Plot the graphs: y =3x + 2 y =5x + 6 and hence find a solution to the simultaneous equations: y =3x + 2 y =5x + 6
00:00

Chapter-10. Inequalities (Algebra)

Chapter-11. Measure (Geometry)

Lesson-11.1.1- Convert between metric units of measure up to 3 decimal places. 1.234 km = 1 234 m 14 g = 0.014 kg 330 ml = 0.33 l
00:00
Lesson-11.1.2- Solve problems involving measures and conversions in context. John is 1.6 m tall. His sister is 143 cm tall. How much taller is John than his sister?
00:00
Lesson-11.1.3- Find the perimeter and area of polygons and compound shapes. Compound shapes made from rectangles, triangles, circles, semi-circles and other polygons (regular and irregular).
00:00
Lesson-11.1.4- Find area of parallelograms and trapeziums. Find area of parallelogram, given base and height (and possibly other lengths) or area of trapeziums given length of parallel sides and height (and possibly other lengths)
00:00
Lesson-11.1.5- Calculate the volume of cubes and cuboids and 3-D solids made from cuboids. Sketch nets of 3-D solids. Cube, cuboid, regular tetrahedron, square-based pyramid, triangular prism.
00:00
Lesson-11.1.6- Draw and interpret 2-D representations of 3-D solids. Recognize nets of shapes above.
00:00
Lesson-11.1.7- Calculate the surface area of cubes and cuboids.
00:00
Lesson-11.1.8- Calculate the volume and surface area of a triangular prism and a cylinder. Radius and/or diameter, plus length of the prism.
00:00
Lesson-11.1.9- Solve problems involving perimeter, area, surface area and volume. The surface area of a cube is 292 cm² What is the volume of the cube?
00:00
Lesson-11.1.10 -Convert between metric units of measure of area and volume.
00:00
Lesson-11.1.11- Use and interpret scales on maps and diagrams. Map scale is 1:50 000 How far is it from A to B in real life? (given A and B on a map).
00:00
Lesson-11.1.12- Describe, use and interpret three-figure bearings. What is the bearing of A from B? (given A and B on a map).
00:00
Lesson-11.1.13-Solve problems involving three figure bearings and/or scale drawings. Bearing of C from D is 040° Bearing of C from E is 260° Mark C on the map (given D and E).
00:00
Lesson-11.1.14- Identify and draw the diameter and radius of a circle; identify and draw parts of a circle. Centre, radius, diameter, circumference, chord, arc, sector, segment.
00:00
Lesson-11.1.15- Calculate the area of a circle. Given radius and/or diameter
00:00
Lesson-11.1.16- Solve problems involving circles and prisms. A bicycle has tyres with a diameter of 45 cm How far has the bicycle travelled when the tires have done 10 full turns?
00:00
Lesson-11.1.17- Solve problems using compound measures and rates. A piece of aluminum has mass 40.5 g and volume 15 cm3 What is its density?
00:00

Chapter-12. Angles (Geometry)

Chapter-13. Symmetry (Geometry)

Chapter-14. Transformation (Geometry)

Chapter-15. Constructions (Geometry)

Chapter-16. Pythagoras’ theorem and trigonometry (Geometry)

Chapter-17. Data (Statistics)

Chapter-18. Charts and diagrams (Statistics)

Chapter-19. Probability (statistics)

Student Ratings & Reviews

No Review Yet

About Course

What Will You Learn?

Course Content

Chapter-1. Integers (number)

Lesson-1.1.1- Add, subtract, multiply and divide positive and negative numbers in context.

Lesson-1.1.2- Use the terminology of primes, multiples, factors, common multiples, common factors, highest common factor and lowest common multiple.

Lesson-1.1.3- Identify common prime factors, common factors and common multiples.

Lesson-1.1.4- Identify highest common factors (HCF), lowest common multiples (LCM) and prime factors and use to solve problems.

Lesson-1.1.5- Express an integer as a product of its prime factors.

Lesson-1.1.6-Know square numbers up to 144

Lesson-1.1.7- Know cube numbers up to 125.

Lesson-1.1.8- Know exact square roots up to 144 and exact cube roots up to 125.

Lesson-1.1.9- Use index notation and index laws.

Lesson-1.1.10- Use index laws with zero and negative indices.

Lesson-1.1.11- Use order of operations to calculate combinations of powers, roots and brackets.

Lesson-1.1.12- Round integers up to three significant figures. Identify upper and lower bounds for discrete data.

Chapter-2. Fractions and decimals (number )

Lesson-2.1.1- Write numbers with up to three decimal places in order of size and write statements using inequality signs: >, <, , 

Lesson-2.1.2- Round decimals up to 3 decimal places. Round 3.141 59 to 3 decimal places.

Lesson-2.1.3- Round decimals up to 3 significant figures. What is 0.000 010 497 5 to 3sf?

Lesson-2.1.4- Round decimals to make estimates and approximations of calculations.

Lesson-2.1.5- Add and subtract decimals up to 3 decimal places.

Lesson-2.1.6- Multiply and divide any number by 0.1, 0.01, 0.001.

Lesson-2.1.7- Multiply and divide decimals by integers and/or decimals.

Lesson-2.1.8- Converting fractions to decimals and vice versa. Understand and use equivalent fractions and write fractions in their simplest form.

Lesson-2.1.9- Compare and order fractions and/or including statements using inequality signs: >, <, , 

Lesson-2.1.10- Recognise and convert recurring and terminating decimals to fractions.

Lesson-2.1.11- Add and subtract fractions with different denominators. Multiply integers and/or fractions by a fraction.

Lesson-2.1.12- Write the reciprocal of an integer or a fraction.

Lesson-2.1.13- Divide integers or fractions by a fraction. Convert mixed fractions to improper fractions and vice versa.

Lesson-2.1.14- Calculate fractions of quantities. Solve problems in context, involving decimals and fractions.

Chapter-3. Percentages (number)

Lesson-3.1.1- Find equivalent fractions, decimals and percentages, including mixed numbers.

Lesson-3.1.2- Write a number as a fraction and/or as a percentage. A student got 13 questions out of 15 correct on a test. What fraction of the questions did he get correct? What percentage of the questions did he get correct?

Lesson-3.1.3- Calculate percentages of amounts. What is 13% of $65?

Lesson-3.1.4- Compare and order decimals, fractions and percentages, include writing statements using inequality signs: >, <, , 

Lesson-3.1.5- Use the equivalence of fractions, decimals and percentages to solve problems by comparing proportions.

Lesson-3.1.6- Write a quantity as a percentage where the quantities are measured in different units.

Lesson-3.1.7- Calculate percentage increase and decrease.

Lesson-3.1.8- Calculate percentage change. The price of a car goes up from $15 000 to $18 000 What was the percentage increase in the price of the car?

Lesson-3.1.9- Use reverse percentages to calculate the original amount. The cost of a pair of gloves went up by 15% The gloves now cost $37 How much did they cost before they went up?

Lesson-3.1.10- Calculate simple interest. I invested $200 in a bank account The account gives me 4% simple interest per annum If I leave the money alone in the account for 5 years, how much interest will I earn?

Lesson-3.1.11- Calculate compound interest. A woman invests £7 000 for 5 years at 2% per annum compound interest. Calculate the value of the investment at the end of 5 years.

Lesson-3.1.12- Solve problems in context, involving percentage increase, decrease and change.

Lesson-3.1.13- Use estimates to check calculations. Use priority of operations for calculations involving the four operations with integers, fractions and decimals, including powers, roots and brackets.

Lesson-3.1.14- Solve problems in context, involving the four operations with integers, fractions, decimals, powers, roots and brackets. Add brackets to make this calculation correct: 9 + 2 × 6 − 3 = 15

Chapter-4. Ratio and proportion (number)

Lesson-4.1.1- Write and interpret ratios written in notation. A class contains 15 boys and 12 girls. What is the ratio of boys to girls?

Lesson-4.1.2- Simplify and use ratios, including integers, decimals and fractions. Write 13:65 in its simplest form

Lesson-4.1.3- Write and compare ratios in unitary form (1:n or n:1). Write 16:30 in the form 1:n.

Lesson-4.1.4- Divide a quantity into two or three parts. Divide $160 in the ratio 4:3:1 Divide $160 in the ratio 4:1

Lesson-4.1.5- Solve word problems that involve dividing a quantity into two or three parts.

Lesson-4.1.6- Solve word problems using ratios to find missing quantities.

Lesson-4.1.7- Use fractions to describe and compare proportions.

Lesson-4.1.8- Use percentages to describe and compare proportions.

Lesson-4.1.9- Understand and use the relationship between ratio and proportion.

Lesson-4.1.10- Solve simple problems involving direct proportion in context. 8 pencils cost $1.36 How much would 13 pencils cost?

Lesson-4.1.11- Calculate values where quantities vary in direct proportion. When x = 16, y= 4 y is directly proportional to x Find the value of x when y = 5.

Lesson-4.1.12- Solve word problems using ratio and/or proportion. One man is 1.8 m tall and his foot is 28 cm long. Another man is 1.65 m tall and his foot is 25 cm long. Is foot length of men in direct proportion to their height?

Chapter-5. Standard form (number)

Lesson-5.1.1- Convert large and small numbers into standard form and vice versa. Write these numbers in standard form: 2 900 000 0.000 000 41 Write these as ordinary numbers: 5 × 10^4, 4.6 × 10^−3

Lesson-5.1.2- Order numbers written in standard form and/or include writing statements using inequality signs: >, <, , 

Lesson-5.1.3- Add, subtract, multiply and divide numbers in standard form. Enter and read standard form numbers on a calculator.

Lesson-5.1.4- Solve problems involving standard form.

Chapter-6. Expressions and Formulae (Algebra)

Lesson-6.1.1- Write expressions using correct algebraic notation. Simplify algebraic expressions by collecting like terms. 6a + 7 + 3a^2 – 4a – 3 + 5a^2

Lesson-6.1.2- Simplify algebraic expressions involving multiplication and division.

Lesson-6.1.3- Expand brackets and simplify expressions involving a bracket and/or powers.

Lesson-6.1.4- Factories expressions. 2x − 8; 8st – t^2; 4a^2 + 12a; 24xy^2 – 6y^4

Lesson-6.1.5- Substitute values into expressions and formulae and/or including powers, roots and brackets. If a = 3 and b = 4, evaluate: a² +√9b – (ab + 3)

Lesson-6.1.7- Simplify algebraic expressions using the index laws. t × t × t= t³

Lesson-6.1.8- Write expressions and formulae involving one or more variables. A hotel charges $60 per night to rent a room, plus a surcharge of $10 per person per stay. Write a formula to show the relationship between the cost, C, the number of nights,

Lesson-6.1.9- Substitute values into a formula and find the value of a variable that is not the subject. F=ma If F= 8.4 and a = 70, find m

Lesson-6.1.10- Change the subject of a formula, involving the four operations and/or powers and roots.

Lesson-6.1.11- Use index notation and index laws with positive, negative and zero powers.

Lesson-6.1.12- Expand the product of two linear expressions. (x + 3)(x − 4)

Lesson-6.1.13- Factorize quadratic expressions of the form x² + bx + c. Factorize x² − 7x − 30

Lesson-6.1.14- Factorize the difference of two squares. x² – 36 = (x−6)(x +6)

Chapter-7. Equations (Algebra)

Lesson-7.1.1- Find pairs of numbers that satisfy a linear equation with two unknowns. x + y = 7 Write down 2 possible values for x and y.