GCSE Mathematics (Non-calculator Paper)

Transcription

1 Centre Number Surname Other Names Candidate Number For Eaminer s Use Eaminer s Initials Candidate Signature GCSE Mathematics (Non-calculator Paper) Practice Paper Stle Questions Topic: Transformations (Foundation Tier) For this paper ou must have: Pages Mark black pen HB pencil ruler (with cm & mm) rubber protractor compass pencil sharpener TOTAL Time allowed hour Instructions Use black ink or black ball-point pen. Draw diagrams in pencil. Fill in the boes at the top of this page. Answer all questions. You must answer the questions in the space provided. Do not write outside the bo around each page or on blank pages. Do all rough work in this book. Cross through an work that ou do not want to be marked. Information The marks for questions are shown in brackets. The maimum mark for this paper is. The qualit of our written communication is specificall assessed in questions indicated with an asterisk (*) You ma ask for more answer paper and graph paper. These must be tagged securel to this answer booklet. A calculator must NOT be used. Advice Read each question carefull before ou answer it. In all calculations, show clearl how ou work out our answer. Check our answers if ou have time at the end.

2 There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED

3 Here are some patterns made from circles: Do not write outside the bo (a) Shade three more circles to give this pattern smmetr in the mirror line. mirror line (b) Shade two more circles to give this pattern smmetr in both mirror lines. mirror line mirror line (c) Shade four more circles to give this pattern smmetr in the mirror line. mirror line 6

4 The shape WXYZ is drawn on a grid: X Y W Z (a) Enlarge WXYZ b scale factor and draw the enlargement on the grid. (b) How man times bigger is the area of the enlarged shape than the area of WXYZ? Answer...

5 The number is shaded on the grid: (a) What fraction of the grid is shaded? Give our answer in its simplest form. Answer... ( marks) (b) The letter E is shaded on this grid: mirror line On the grid draw the reflection of the letter E in the mirror line. (c) The number zero is drawn on a grid: Write down the order of rotational smmetr. Answer... ( mark) 0

6 6 Triangle A has been drawn on the grid: A O Rotate Triangle A 90 clockwise about the point (, 0) and draw it in its new position. Label the new triangle N.

7 Y 6 X O Describe full the single transformation which maps shape X onto shape Y..... ( marks)

8 8 6 Triangle A and Triangle B are drawn on the grid: A O B (a) Describe full the single transformation which maps Triangle A onto Triangle B..... ( marks) (b) Translate Triangle A b the vector ( 0 ) Label the new triangle C. ( mark)

9 O (a) Rotate the shaded shape on the grid above 80 clockwise about the point 0. X Y O - (b) Describe full the single transformation which maps shape X onto shape Y

10 0 8 Triangle T has been drawn on a grid: T (a) On the grid, draw an enlargement of Triangle T with a scale factor. Triangle A has been drawn on a grid: O - A - - (b) On the grid, rotate Triangle A clockwise about point 0.

11 O - Y (a) Rotate Triangle Y 80 clockwise about the point (-, 0). Label the new triangle Q. (b) Translate Triangle Y b the vector ( 7 ). Label the new triangle R. ( mark) 7

12 0 = A O Reflect Triangle A in the line =. Label the new triangle N.

13 Q O - R (a) Reflect shape Q in the ais. (b) Describe full the single transformation which maps shape Q onto shape R

14 O Rotate the shape on the grid above 80 about the point 0. On the grid below, enlarge the shape with a scale factor of ½, centre C: C ( marks)

15 P O (a) On the grid above, reflect shape P in the line =. Y Z O - (b) Describe full the single transformation which maps shape Y onto shape Z..... END OF QUESTIONS 0

16 6 There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED

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