NUMBER SKILLS SELF-ASSESSMENT QUESTIONS

Transcription

1 NUMBER SKILLS SELF-ASSESSMENT QUESTIONS (Multiplication Facts: I cannot emphasise enough how useful it is to really know your tables. You will know whether you need to brush up on your tables I won t insult your intelligence by testing you!) N. Operations with Numbers Which one of the four operations ADDITION SUBTRACTION MULTIPLICATION DIVISION + is associated with each of the following words or phrases? times sum of difference lots of take-away multiply share minus of product add total divide quotient subtract Can you think of any more? N. Working with Positive and Negative Numbers ) Draw a number line and on it label points to represent:, 0, 0,, ) Arrange the following numbers in order, putting the smallest first: 0,,,, ) Evaluate the following: a) + ( 6) b) + ( 6) ( 6) d) ( 6) e) + 6 f) + 6 g) 6 h) 6 ) Find the value of the following: b) ( ) ( ) ( ) d) ( ) e) ( ) ( 6) f) 6 g) ( 6) h) ( ) 6 Page

2 N. Order of Operations (BODMAS) Work out the following: + b) ( + ) + d) ( + ) e) f) 6 ( + 6) g) (6 + ) 6 h) N. Prime Numbers and Factors ) Which of the following are prime numbers? 0,,,,,, 6,,, 9, 0,,,,,, 6,,, 9, 0. ) Write down all the factors of. ) a) Write down all the prime factors of. b) Now write as a product of its prime factors. N. Factors and Multiples ) Write down three numbers which are multiples of. ) What is the lowest common multiple (LCM) of and? ) What is the highest common factor (HCF) of and 6? N6. Integer Powers of Numbers ) What is the value of: a) b) x d) x ) What is another way of writing: a) b) 0 d) 0 ) Write down the next number in the following sequences: a),, 9, 6,, 6,, b),,, 6,,, Page

3 N. Roots of Numbers Evaluate: a) 6 b) 6 6 d) 6 N. Terminology of Fractions ) In the fraction, what is the value of: a) the numerator b) the denominator ) Which of the following are proper fractions? ) Which of the following are improper or top-heavy ) Which of the following are mixed numbers? N9. Equivalent Fractions or Simplifying Fractions or Reducing to Lowest Terms ) Reduce the following fractions to their lowest terms: a) b) 0 0 ) From the following list find fractions which are equivalent: Page

4 N0. Re-writing Improper (or Top-Heavy) Fractions as Mixed Numbers Re-write as a mixed number. N. Re-writing Mixed Numbers as Improper (or Top-Heavy) Fractions Re-write as a top-heavy fraction. N. Comparing Fractions Arrange the following fractions in order from the smallest to the largest: b) 6 N. Multiplying two Fractions Multiply by b) by by 0 d) by 6 N. Dividing by a Fraction Divide by b) by by 0 d) by 6 N. Adding Fractions Add and b) and and d) and Page

5 N6. Subtracting Fractions Subtract a) from b) from from d) from N. Decimals Place Value ) What is the value of the figure in the following numbers? a) b) 9.0,9. b) 0.00 e) f),,0 ) Put the following numbers in order (smallest first): N. Adding and Subtracting Decimals ) Add 6. and. ) Subtract 9. from.6 N9. Multiplying Decimals by 0, 00, 000 Multiply 0.6 by a) 0 b) N0. Dividing Decimals by 0, 00, 000 Divide 9. by a) 0 b) N. Decimal Places Write 9.0 correct to: decimal places (dp) b) dp dp Page

6 N. Significant Figures ) Write 9.0 correct to: significant figures (sf) b) sf sf ) Write correct to: significant figures (sf) b) sf sf N. Approximations Using suitable approximations estimate the value of: N. Standard Form Write the following numbers in standard form (also called standard index form) a),000 b) d),000,000,000 N. Decimal to Fraction Conversions Convert the following decimal numbers to fractions in their lowest terms: a) 0. b) d) 0. N6. Fraction to Decimal Conversions Convert the following fractions to decimal numbers: b) d) 0 N. Rational and Irrational Numbers Which of the following numbers are rational?.6. 0 & & 6 π Page 6

7 N. Surds Which of the following numbers are surds? + N9. Percentages What does percent mean? N0. Converting Percentages to Fractions or Decimals ) Convert the following into fractions: a) % b) 9% % d).% ) Convert the following into decimals: a) % b) 9% % d).% N. Converting Fractions to Percentages Convert the following into percentages: a) b) N. Converting Decimals to Percentages Convert the following into percentages: a) 0. b). N. Calculations using Percentages ) What percentage is 9 of? ) What is 0% of? ) A woman pays 0% of her salary in income tax. If her salary is 6, 000 after tax, what was her salary before the tax was paid? Page

8 N. Equivalent Ratios and Simplest Form (Simplest Terms or Lowest Terms) Express each of the following ratios in its simplest terms: a) : b) : 0. : d) p : e) 00g : 6kg f) 00ml : l N. Using Ratios ) Bill and Ben are partners in a business. They share the profits in the ratio :. How much will they each receive if the profit made over the current year is,000? ) A mortar mix is made up of cement, sand and water, mixed by volume in the ratio ::. If a mixture is made using 6 buckets of water, how many buckets of sand will be needed? ) A model of Penshaw Monument is made using a scale of cm to m. If the height of a column is m how high will the column be in the model? If the circumference of a pillar is m what is the corresponding measurement in the model? ) 0ml of a medicine is produced using mg of drug A. How much of the drug would be needed to produce litre of the medicine? ) Which is better value a 00-page pad of A paper costing. or an -page pad costing 0p? Page