WHAT IT MEANS? NOTES AND FORMULA To find next term Numbers/Diagrams arranged • Find the common difference according to a rule To find the rule • Formula 𝐴𝑛 + 𝑏 To find value in the nth term • Find rule • value = 𝐴𝑛 + 𝑏 To find the nth term given the value • • Find rule 𝐴𝑛 + 𝑏 = value Common difference 1st – common Term difference EXAMPLE QUESTIONS NUMBER PATTERN AND SEQUENCE 1, 3, 5, 7, 9, … (a) Find the next sequence. (b) Find the value in the 100th term. NON EXAMPLE QUESTIONS 0.7 (c) Find the nth term that has the value 97. √7 1 7 72 Arrange the numbers in ascending order WHAT IT MEANS? NOTES, FORMULA, STEPS TO SUCCESS S2S: ARRANGING NUMBERS IN 1. Change the numbers into decimal form Fraction → decimal – use calculator fraction button Percentage → decimal – change to fraction out of 100 then use calculator fraction button ASCENDING ORDER OR 2. Arrange the numbers ascending or descending order 3. Rewrite the numbers using original numbers DESCENDING ORDER ORDERING NUMBERS EXAMPLE QUESTIONS Arrange the following numbers in descending order: 60% 0.6 1/6 6/7 NON EXAMPLE QUESTIONS What is the next term in the sequence: 3, 3.5, 4, 4.5, … WHAT IT MEANS? NOTES, FORMULA, STEPS TO SUCCESS S2S: ROUND OFF THE NUMBER TO: If the digit is 5 or more, then round up and +1 If the digit is less than 5, then stay DECIMAL PLACES SIGNIFICANT FIGURE NEAREST 10, 100, ETC Significant figure Nearest value 1. Rewrite the number until the required number of decimal places 1. Rewrite the required number of non-zero significant figures 1. Identify the place value of given value 2. Then round up or stay ESTIMATION AND APPROXIMATION EXAMPLE QUESTIONS Round off to 2 decimal places Decimal places 123.4567 Round off to 3 significant figure 2. Then round up or stay 2. Then round up or stay 3. Remaining numbers replace by zero (ignore numbers after decimal point) NON EXAMPLE QUESTIONS Write 0.00345 in standard form. Round off to the nearest 10 0.02345 Round off to 2 decimal places Round of to 2 significant figure WHAT IT MEANS? NOTES, FORMULA, STEPS TO SUCCESS S2S: Calculate 1. Draw number line and label with; 2. Quantity given lower bound and 5. Quantity given + nearest value 3. Quantity given − nearest value upper bound lower bound ≤ quantity given < upper bound 4. Halfway value = LOWER BOUND EXAMPLE QUESTIONS 6. Halfway value = UPPER BOUND LIMITS OF ACCURACY The height of the door is 261 m correct to the nearest metre. Complete the following statement about the height of the door. NON EXAMPLE QUESTIONS < > = Use the symbol above to complete these statements …………………………… m ≤ door height < ……………………………… m (a) 0.5 ……….. 1 5 (b) 9% ………. 0.09