πŸ“ StudyNest Worksheet Pack

REAL NUMBERS β€’ FOUNDATION PACK 1

Real Numbers Foundation Worksheet

Classification, place value, factors, multiples, prime numbers, directed numbers and approximation.

Instructions: Answer all questions. Show working where necessary. Do not use a calculator unless your teacher allows it.

A. Types of Numbers

  1. State whether each number is natural, integer, rational or irrational. Give the most specific classification.
    a) 17b) βˆ’8c) 3/5d) √7e) 0f) 0.125
  2. Write down all the integers in the list: βˆ’3.5, βˆ’2, 0, 4/3, 7, √16.
  3. Which two numbers below are irrational?
    √20.45Ο€7/9

B. Place Value and Ordering

  1. Write 6 084 209 in words.
  2. What is the value of the digit 7 in 3 742 615?
  3. Arrange in ascending order: βˆ’5, 3, βˆ’1, 0, βˆ’8, 6.
  4. Insert <, > or =:
    a) βˆ’4 ___ βˆ’9b) 0.6 ___ 3/5c) √25 ___ 6

C. Factors, Multiples and Prime Numbers

  1. List all the factors of 24.
  2. Write the first five multiples of 7.
  3. State whether each number is prime or composite: 13, 21, 29, 51.
  4. Express 84 as a product of prime factors.
  5. Find the HCF of 18 and 30.
  6. Find the LCM of 12 and 15.

D. Directed Numbers

  1. Calculate:
    a) βˆ’7 + 12b) 5 βˆ’ 13c) βˆ’6 βˆ’ 4d) βˆ’3 Γ— 8e) 42 Γ· (βˆ’6)f) (βˆ’5)(βˆ’7)
  2. The temperature was 4Β°C in the afternoon and fell by 11Β°C overnight. What was the temperature the next morning?
  3. A lift starts on floor 3, goes down 7 floors, then goes up 2 floors. On which floor does it stop?

E. Approximation

  1. Round 8 746 to the nearest:
    a) tenb) hundredc) thousand
  2. Round 12.684 to:
    a) 1 decimal placeb) 2 decimal places
  3. Write 0.007846 correct to 2 significant figures.
  4. Estimate the value of (49.8 Γ— 20.3) Γ· 9.9 by rounding each number to 1 significant figure.
Score: ______ / 50     Teacher’s comment: __________________________________________