Emirates Flight Training Academy Mental Maths PDF

MENTAL MATHS (WITHOUT USING CALCULATORS!) Chapter 1: Heart of Algebra Topic Learning Objectives The Four Operations (BODMAS) Perform the four operations with signed...

MENTAL MATHS (WITHOUT USING CALCULATORS!) Chapter 1: Heart of Algebra Topic Learning Objectives The Four Operations (BODMAS) Perform the four operations with signed numbers. Simplify numerical expressions of whole numbers consisting of no more than three digits and involving the basic arithmetic operations that result in a solution which is a positive whole number. Simplify numerical expressions of whole numbers consisting of no more than three digits and involving the basic arithmetic operations and brackets, that result in a solution which is a positive whole number. Sample Question 25/5 + 3 x 7 A. 26 B. 1 C. 21 D. 15 Powers and Roots Find the square of whole numbers between 1 and 20. Represent square root of a number by √. Find the square root of whole square numbers between 1 and 400 by inspection. Find the square root of whole square numbers between 1 and 400 using prime factors. Find the cube of whole numbers between 1 and 10. Find the cubic root for the whole cubes between 1 and 1000. Sample Question The volume of a cube is 1,000 cm3, what is the length of each side of the cube? A. 1 cm B. 10 cm C. 100 cm D. 300 cm V3 / 16 JULY 2024 Page 8 of 15 Decimals and Fractions Add, subtract, multiply, and divide fractions. Convert into decimals, fractions that can be converted into terminating decimals. Convert a terminating decimal into a fraction and writes it in its simplest form. Multiply a decimal number by powers of 10. Divide a decimal number by powers of 10. Multiply a decimal number by a whole number. Divide a decimal number by a whole number. Solve problems related to decimals. Sample Question Convert 0.04 to a fraction in simplest form: A. 2/50 B. 2/5 C. 4/10 D. 1/25 Basic Equation Calculation Check if a number is a solution for a given equation. Solve simple linear equations of the form ax + b = c using inverse operations. Sample Question Solve the following equation: x + 7 = - 7 + 3x A. – 5 B. 9 C. 2 D. 7 Chapter 2: Statistics and Data Analysis Topic Learning Objectives Ratio, Proportions, and Rates Calculate the total quantity when the ratio and the value of one of the terms are given. Calculate the values of the rest of the terms when the ratio and the value of one term are given. V3 / 16 JULY 2024 Page 9 of 15  Apply the knowledge on ratios in practical situations. Understand the proportion concepts and convert it into ratios and vice versa. Understand the rate concept and the difference between rates and ratios. Ratios compare numbers or quantities in the same units while rates compare numbers or quantities in different units. Sample Question In my fish tank, the ratio of red fish to blue fish is 3:5, There are 20 blue fish. How many red fish are there? A. 18 B. 12 C. 4 D. 15 Percentages Describe the concept of percentages. Use the symbol % to represent a percentage. Write as percentages, fractions that have denominators which are factors of 100. Write a decimal number of up to two decimal places as a percentage. Complete calculations involving reverse percentages. Sample Question A shirt of price 85 AED was discounted for 20%. What is the new price of the shirt? A. 60 AED B. 65 AED C. 68 AED D. 70 AED Interpreting Graphs Interpret graphs and find out the relations between the graphs’ coordinates. Solve problem related to graphs. V3 / 16 JULY 2024 Page 10 of 15 Sample Question How many people picked either blue or orange? A. 8 B. 29 C. 28 D. 7.5 Handling Data Identify the units: second, minute, hour, day, month, year, decade, century, and millennium which are used to measure time. Identify a leap year. State the relationships between seconds, minutes, hours, days, months, and years. Convert units used to measure time, seconds, minutes, hours, days, months, and years. Add, subtract time given in terms of seconds, minutes, hours, days, months, and years. Add, subtract time given in terms of months and years. Sample Question Convert 90 min into hours: A. 2 hrs 17 min B. 2 hrs C. 1 hr 3 min D. 1 hr 30 min Chapter 3 Geometry Topic Learning Objectives V3 / 16 JULY 2024 Page 11 of 15 Basic Geometrical Terms Understand Basic Geometric Terminologies. Circles Understand the parts of a circle. Find the area of a circle. Find the characteristics of triangles inside the circles. Sample Question Find the value of x: A. 18° B. 28° C. 38° D. 48° Polygons Find the sum of interior, exterior, and central angles in polygons. Find the measure of one interior, one exterior, and one central angle in a regular polygon Sample Question What is the measure of each interior angle of a regular hexagon? A. 150° B. 135° C. 120° D. 128.57° Triangles Find characteristics of triangles. Find missing sides of similar triangles. Find the area of a triangle. Sample Question A. 1:3 B. 3:1 C. 2:3 D. 3:2 Area of 2D shapes Find the area of each: - Square - Rectangle - Parallelogram V3 / 16 JULY 2024 Page 12 of 15  - Trapezoid Sample Question Find the area of the given triangle: A. 20 cm2 B. 35 cm2 C. 40 cm2 D. 17.5 cm2 Volume of 3D shapes Find the volume of prisms Sample Question Find the volume of the prism: A. 540 B. 250 C. 480 D. 500 Chapter 4: Advanced Mathematics Topic Learning Objectives Slopes and equations of lines Find the slope of a straight line. Understand the nature of the slope based on the shape of the graph. Sample Question What is the slope of the line passing through the points (8, -10) and (6, -4)? A. 3 B. – 3 C. 1/2 D. 2 Characteristics of quadratic and exponential Solve problems involving a quadratic functions function’s minimum and maximum value. Understand whether an exponential function represent a growth or decay function. V3 / 16 JULY 2024 Page 13 of 15 Sample Question Use the graph to identify the vertex of the quadratic function: A. (4, - 6) B. (0, 2) C. (0.5, 0) D. (7.5, 0) Interpolation Formula Predict the unknown values for any related data points mentally. Sample Question Given the two following points, use interpolation to determine the best estimate for the value of f (24.75) Given (24,81), (25,93) A. 90 B. 84 C. 87 D. 82 Pythagorean Theorem Identify whether a three given side represent a right triangle. Find the length of a missing side in a right triangle. Sample Question Which set of sides would make a right triangle? A. 4, 5, 6 B. 8, 10, 12 C. 5, 12, 13 D. 5, 10, 12 Trigonometry in right triangles Find the trigonometric ratios (SOH, CAH, TOA). Find missing sides and angles using trigonometric values of special angles. V3 / 16 JULY 2024 Page 14 of 15 Sample Question Cos X is: A. A B. B C. C D. D V3 / 16 JULY 2024 Page 15 of 15