year-8-indices-exemplar-questions-and-answers-spring-b3 (2).pptx

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1. Each square represents and each cube represents Write expressions for each card. The first one is done for you.     I think the first one should be   I think the first one should be   Annie Jack Do you agree with either student? Explain why or why not.

2. Each square represents and each cube represents Write expressions for each card. The first one is done for you.     I think the first one should be   I think the first one should be   Annie Jack Do you agree with either student? Explain why or why not. Jack’s expression is equivalent to the given expression. Annie is incorrect as you cannot add unlike terms.    

3. Simplify the expressions on the cards.            

4. Simplify the expressions on the cards.                        

5. Check Dexter’s indices homework. Which ones are definitely right/wrong? Which ones might people disagree about? Dexter’s homework  

6. Check Dexter’s indices homework. Which ones are definitely right/wrong? Which ones might people disagree about? Dexter’s homework   Correct Incorrect Should be just “0” Usually written without the 1 Correct

7. Complete the working. _________   ___ ___ ____ ____ _________  

8. Complete the working. _________   ___ ___ ____ ____ _________              

9. Match the expressions on the cards with their simplified forms.                

10. Match the expressions on the cards with their simplified forms.                

11. Correct Tommy’s answer. Tommy  

12. Correct Tommy’s answer. Tommy    

13. Which of these is the correct simplification of ?          

14. Which of these is the correct simplification of ?          

15. Expand the brackets and simplify as far as possible.      

16. Expand the brackets and simplify as far as possible.            

17. Write these fractions in their simplest form.                

18. Write these fractions in their simplest form.                                

19. By thinking about the factors of the numerators and denominators, simplify these fractions.            

20. By thinking about the factors of the numerators and denominators, simplify these fractions.                        

21. Work out the divisions.                  

22. Work out the divisions.                                    

23. Compare the solutions to the calculation Which one(s) do you agree with? Justify your answer.        

24. Compare the solutions to the calculation Which one(s) do you agree with? Justify your answer.         and are equivalent and both correct, is incorrect. The convention is to write without decimals as  

25. Complete the calculations on the cards. In the same way, work out and , giving your answers as single terms. What connections do you see between the questions and the answers? Predict the answers to and Compare your answers with a partner’s & discuss your findings      

26. Complete the calculations on the cards. In the same way, work out and , giving your answers as single terms. What connections do you see between the questions and the answers? Predict the answers to and Compare your answers with a partner’s & discuss your findings       Index in the answer is the sum of the indices in the question    

27. Explain why Dexter is wrong.   Dexter

28. Explain why Dexter is wrong.   Dexter Dexter has changed the base – the correct answer is  

29. Work out the missing values.                  

30. Work out the missing values.                   , so  

31. Complete the calculations on the cards. In the same way, work out and , giving your answers as single terms. What connections do you see between the questions and the answers? Predict the answers to and Compare your answers with a partner’s & discuss your findings      

32. Complete the calculations on the cards. In the same way, work out and , giving your answers as single terms. What connections do you see between the questions and the answers? Predict the answers to and Compare your answers with a partner’s & discuss your findings       Index in the answer is the found by subtracting the indices    

33. Explain why Whitney is wrong. is , so   Whitney

34. Explain why Whitney is wrong. is , so   Whitney Whitney should have subtracted the indices,  

35. Work out the missing values.            

36. Work out the missing values.            

37. Complete the calculations on the cards. Mo makes a conjecture. Test Mo’s conjecture by checking his example and testing three more of your own. Do you agree with Mo? When you raise a term with a power to another power, you multiply the indices e.g.   Mo   ___  

38. Complete the calculations on the cards. Mo makes a conjecture. Test Mo’s conjecture by checking his example and testing three more of your own. Do you agree with Mo? When you raise a term with a power to another power, you multiply the indices e.g.   Mo   _ __   Mo is correct.

39. Work out the missing values.            

40. Work out the missing values.            

41. Dani thinks . What mistake has Dani made?  

42. Dani thinks . What mistake has Dani made?   The correct answer is  

43. Solve the equations.          

44. Solve the equations.