GCSE Mathematics Foundation Tier

Transcription

1 For Edexcel GCSE Mathematics Foundation Tier Numerical Answers Written by Shaun Armstrong Only to be copied for use in the purchaser's school or college EF numerical answers Page

2 Foundation Tier Paper A. (a) 6. arrow (). (a) (i) 4 (ii) reason (i) (ii) reason (). (a) words 4 99 () 4. (a) (i) 600 (ii) 0. (i),,, 7 (ii) 0.09, 0.4, 0., 0. (4). (a) (i) 6 (ii) pictogram () 6. cm () 7. (a) 6 (4). (a) arrow at arrow at 6 arrow at 0 () 9. (a), 0,, y > (4) 0. (a) 4 C 6 C 4 C (). (a) R and T (i) U (ii) image (). (a) (d) (4). (a) drawing (i) 7 (ii) n + (6) 4. (a) 9 = = 9 (4)., 9, 47, 4, 0 () 6. (a) 9 cm 7 cm (4) 7. (a) graph. (4). (a) 4 6 () 9. (a) x + y(y + 7) 9 (4) 0. (a) points positive line (d) 7 days (4). (a) (i) 6 (ii) 9 (). 4 (). () 4. region 4 (4). (i) 0 (ii) () 6. 9 () 7. (a) km/h () EF numerical answers Page

3 Foundation Tier Paper B. (a) 70 words hundreds (d) 6,, 0,, 0 (4). (a) 6 C 6 cm km/h (). (a) minutes 6 km 40 km/h (4) 4. (a) cuboid cylinder (). (a) () 6. (a) (i) 0 (ii) 4 pictogram (4) 7. (a) (i) 0 (ii) 64 km (4). (a) (i). (ii) 4. () 9. (a) (4) 0. (a) Ben and Edie (i) (ii) (iii) (). (a) 6a p n (). (a) (i) (ii) 4 7 (). 90 cm 4 (4) 4. (a) minutes 4 t = n 4 (4). (a) (i) 0 (ii) reason (i) 7 (ii) reason (4) 6. (a) () 7. (a) 9, (4). (a) (0, ) equation () 9. reasons () 0. (a) (i) cm (ii) 6 cm times 4 times (6).. (). (a) x + x years (4). (a) image image translation by 4 (6) 4. (a) (i) 400 (ii) 400 (iii) % 96 (9) EF numerical answers Page

4 Foundation Tier Paper C. (a) words (i) 60 (ii) 00 (4). (a) hexagon.9 cm (or 9 mm etc.) (i) DE (ii) EF (d) (6). 0.,, 0%,, 0.06 () 0 4. (a) (i) 4 (ii) 0 9 months (). (a) 9 0 () 6. (a) 7 74 () 7. (a) 60% (4). (a) image image (4) 9. (a) 6% Rocky and Sam 4% () 0. (a),, 7 graph (4). (a) drawing 44 (). (a) (i) (ii) 4 (4). (a) x < x < () 4. (a) 4 cm 64 cm (4). (a) 0 (4) () 7. (a) 7 or (). (a) (i) m (ii) 6n (i) x + (ii) 6 () 9. (a) cuboid diagram 60 cm (4) 0. (a) (i) (ii) 7 (i) 9 (ii) (). (a) 4 0 (). (a) a + c ab + c or a(b + c) πb or b(a + c ) (). 6.0 () 4. (a),, 6, 0,, () EF numerical answers Page 4

5 Foundation Tier Paper D. (a) words (d) (i) (ii) 690 (). (a) (i) 60 (ii) 70 pictogram bar chart (6). (a), 0,,, (4) 4. (a) 0.6 arrow ()., 7 ml, 7 g, 6 g () 6. (a) (, 4) (i) points (ii) kite (4) 7. (a) equilateral (). (a) (d) () 9. (a) 64 () 0. (a) 0 and 9 and 6 9 and 4 (d) and (6). (a) 0 cm 60 cm (). (a) drawing 0 cm drawing (4). (a) (i) 6 cm (ii) cm 9 cm 4 cm (6) 4. (a) (i) 74 (ii) 74 (iii) 74 explain (). () 6. (a) 6 (4) 7. (a) positive line 6.4 hours (). (a) 7 and 6 n + (4) 9. (a) 9 (4) 0. (a) 0. (4). (a) x 4x + 7 (4). (a) image image (4). (a) (a ) x y r (d) x + 4x + (6) EF numerical answers Page

6 Foundation Tier Paper E. (a) (4). (a) diagram diagram diagram (4). (a) words (4) 4. (a) % 70% 0.7 (4) 4. (a) 60 () 6. (a) 6 4 (d) 00 (e) 0 () 7. (a) Giles and Nell Nell Dot (d) (i) (ii) (). (a) (i) 9 (ii) add 7 4, 4 (4) 9. (a) cm sketch () 0. (a) 0k y 4 (). (a) 4 cm cm (6). (a) h + h 4h + (4). (a) (i) 4. (a) (ii) obtuse explain 40 (6) (d) (e) (f) 0 6. (a) 7,, 9, (6) graph (4) 6. (a) 7 0 4, 4 (d),, 7, 9 () 7. (a) : (4). (a) 60 40% diagram (4) 9. (a) 4 (7) 0. (a) diagram diagram (4). (a) (i) A (ii) explain table (6). (a) reflection in x = image () EF numerical answers Page 6

7 Foundation Tier Paper F. (a) 6 thousands (i) 40 (ii) 00 (d) (i). (ii).09 (6). (a) arrow arrow.9 cm (). (a) (i) (ii) (i) square (ii) kite (4) 4.,, 9 4 (4). (a) 7 7 (d) (e) () 6. (i) (ii) 0 (iii) 77 (4) 7. (a) : 7.0 (d) 0 (7). (a) (i) (, 6) (ii) (0, ) x = diagram () 9. data collection sheet () 0. (a), explain (4). (a) 9 (4). (a) region arc (). (a) 4 cm diagram () 4. (a) diagram. (a) 40 cm 6. (a) (4). (4) (d) 0 4 (6) 7. sketch (). (a) n + r + 4s 4(x ) (4) 9. (a) 000 ten million (i) 4 (ii) 4 9 (d) (i) a 6 (ii) a (6) 0. (a) 00 g. (6). acd, c (b + a) (). graph (). (a) 7 0 (7) EF numerical answers Page 7

8 Foundation Tier Paper G. (a) 40 g 0 g 7 g (4). (a) (i) (ii) 9 pictogram (6 on Fri) (). (a) 6 = = = 4 (d) 760 (4) 4. squ; squ, par; squ, kite (). (a) % (d) [ any squares ] (4) 6. (a) 60 words (i) (ii) and (iii) () (). (a) (i) 40 (ii) 0, () 9. (a) (i) 9 (ii) reason drawing (4) 0. (a) (d) 0. (e) 94 (6). (a) cm 40 cm sketch (). (a) explain 0 7 hours (). (a) 0 cm 0 triangles () 4. (a) 7 region (). (a) reasons question (4) 6. 7 () 7. (a) 90. (a) % (4) 6 9. (a) (i) y (ii) r 7 (iii) 6a b () 4 () 0. (a) 0, 6, 70, 49, (a) P + 4 (P + 4) () 9 (). (a) image image (). yes, working () EF numerical answers Page

9 Foundation Tier Paper H. (a) reflex 6.4 cm (4). (a) words 60 6 (d) (i) 0, 0, 0,, 0 (ii),,, 4, 6. (a) 4, 7, 4,, (6) diagram () 4. (a) 49 4 (). (a) (i) (4, ) (ii) (0, 7) point line (4) 6. (a) 6p x (x 4) (d) 6 () 7. (a) 0. 7% 9 (d) 0 (). (a) 0.4 (4) 9. (a) (d) 7 (e) 6 () 0. (a) 4 cm 0 cm image (d) image (6). (a) (i) 0 (ii) 6 (iii) (i) divide by (ii) subtract 4 (). (a) 7% 0 (). (a),, 4, 7 graph.6 () 4. (a) 7. (a) 7 minutes () minutes () 6. (a) (i) (ii) 9, 0, a +, a + (6) 7. area, volume, area ().. () 9. (a) 40 x + 00 = 40 (6) 0. 4 cm (). (a) 4. (). (a) bisector region (4) EF numerical answers Page 9

10 Foundation Tier Paper I. (a) diagram diagram diagram (). 0. (). (a) (i) (ii) add 4 (iii) explain 47, 9 () 4. (a) (i) cylinder (ii) (sq-bsd) pyramid (i) cuboid (ii) (triangluar) prism (4). (a) (i) kg (ii) 6. kg 40 g (4) 6. (a) (i) 0.9 m (ii) 7.6 m 0.0 m (dp) (4) 7. (a) (i) cm (ii) cm 0 cm 0 cm (6). (a) (6) 9. (a) 46 (4) 0. (a) 7 4. (d) compare (6). (a) Graph C Graph A Graph D (). (a) (i) 4 (ii) 7 (i) 4 (ii) 7 (). (a) (a) (i) 44 (ii) 7 () 9.7 km (). (a) 4 cm 6. (a) 6 4 (6) : (4) 7. (a) 6 () cm () 9. 6,, 9 () 0. (a) (i) p (ii) r (iii) 6a b (k + 4) y y + (7). (a) 0. () (). t () EF numerical answers Page 0

11 Foundation Tier Paper J. (a) hexagon EF CDE marked X (d) 4. cm (4). (a) 69 words (d) (i) 70, 77, 799, 0, 9 (ii) 0.007, 0.07, 0.07, 0.7 (). (a) (i) 7% (ii) 0.0 (iii) (i) (ii) () 4. diagram (). (a) bar chart (90s = 4) 6 (6) 6. (a) 4 (4) 7. (a).9 49 (4). (a) (i) (ii) reason (i) 44 (ii) reason (4) 9. (a) 0.6 () 0. (a) 7 (). (a) 0 9 (d) 400 (4). (a) 0 cm 0 cm (4). (a) describe line. C () 4. (a) 4 cm 9 cm diagram (). (a) y + x x 4 () 6. (a) 6 cm cm () 7. (a) 6, 4,, 0, graph (4). (a) (d) 7 (e) () 40 () 0. 6 (). (a) 4n 0 n (4). (a) x < d = (6). pr, p(q + r) () 4. (a) 7 % (). (a) n n (4) 4 EF numerical answers Page

12 Foundation Tier Paper A. (a) image diagram (4). question (). (a) % (d) 6 (4) 4. (a) pentagon 6. cm 9 (d) obtuse (4). (a) (6) 6. (a) (i) 46 (ii) subtract 4 9, 7 (4) 7. (a) drawing drawing (4). (a).9 cm 9. (a) 47. cm (sf) or 4 cm (sf) () () 0. (a) or 9 or (d) or 7 (4). (a) (i) (4, 6) (ii) (4, 0) (, ) and (7, ) (4). (a) 4 houses (). 6. cm () 4. (a) (). 9 km 4 (4) 6. diagram () 7. (a) 7 6 lessons (4)..4,.60,.,.0 4 (4) 9. (a) (i) 6xy (ii) p (iii) 4m n b = a 0. (a) x (6). cm (). (a) (i) 6 (ii). 4. (dp) (6). 4.7 (dp) 4 (4). (a) 4. () 4. (a) 6 cm cm. cm (dp) (6) EF numerical answers Page

13 Foundation Tier Paper B. (a) octagon (i) (ii) diagram (4). (a) diagram (). 0.4 () 4. (a) 7,,, (6). (a) (i) 4 (ii) (iii) and 69, 6, () 6. (a) draw and label draw and label draw and label () 7. (a) (i) (, ) (ii) (0, ) point (4, ) (4). (a) 6 4 () 9. 4 () 0. (a) (i) cm (ii) 4 cm 70 cm (4). (a) 0. or 0. (). (a) 74% 4% (4). (a) (i) centimetres (ii) kilograms (iii) litres 6 km, explain () 4. (a) (i) 4, 4 (ii) add 9 (). (a) y y z 4 (4) cm (sf) or 77 cm (sf) 4 (4) 7. (a) m 9 cm (4). (a) list (i) (ii) (4) 9. (a)..6 (sf) () 0. (a) cm 64 cm (). (a) drawing drawing (4). (a) x 4x y 4 cm (nearest cm ) (). (a) 7 (i) 6 (ii) reasons () 4. (a),, graph.4 or.4 (6). (a) x =, y = 40 (6) EF numerical answers Page

14 Foundation Tier Paper C. (a) likely impossible unlikely (). (a) (i) (4, ) (ii) (, ) (i) point (ii) point (4)..9 () 4. (a) 4 6 (). (a) 7 mph 7.6 m/s () 6. (a) obtuse isosceles diagram (4) 7. (a) C Tuesday and Saturday C (). (a) [ accept. to. m ] [ accept. to. (a) ] () 9. (a) 4 m 00 g g (4) 0. (a) (d) 7 (e) (). (a) 4 cm 6 cm (4). (a) (i) 6 (ii) 0 (i) 40 (ii) explain (). (a) line 4 7 m () 4. (a) (i) (ii) reason (i) (ii) reason 4 (6). (a). 4 Gold packs () 6. (a) 4 minutes 6 0 : (6) 7. (a) () (4) 9. (a) Q P () 0. (a) 0 0.% (sf) or % (sf) 4 (7). (a). x = (y + ) (4). (a) 4x x x + 4(a + ) (4). (a) 4 cm 9.0 cm (dp) () 4. (a) (i) (ii). (i) no (ii) explain (6). 4. (dp) () EF numerical answers Page 4

15 Foundation Tier Paper D. (a) image (). (a) (). (a) (i),, 7 (ii) 9 (i) drawing (ii) 7, 0,, 6 () 4. (a) Leeds 7 miles (4). (a) (i) acute (ii) obtuse (iii) reflex () 6. (a) 0 (d) (4) (dp) (). (a) % 0 4% (d) () 7 9. (a) (i) 0 (ii) 9 (i) diagram (ii) diagram (4) 0., 04, 44, 60 4 (4). (a),, graph 0.7 (4). 74 kg () () 4. (a) 4,, 0, 04 (). (a) (i) (ii) (i) (triangular) pyramid (ii) cylinder (4) 6. (a) diagram 6.6 km () 7. (a) 0 cm 400 cm (). (a) 6.7 litres 9. litres graph (d) 44 pints () 9. (a) M: Y6 N F: Y4 N (4) 0. (a) (). 4 minutes () cm (sf) or 4 cm (sf) 4 (4). (a) (i) a (ii) s 4r p(p 4) () cm (sf) (). kg 4 (4) EF numerical answers Page

16 Foundation Tier Paper E. (a) 40 minutes minutes 6 00 (). (a) parallelogram diagram (). 7. g () 4. (a) (i) (ii).0 % (). (a). cm diagram diagram () 6. (a) (i) (4, ) (ii) (7, ) point point (4) 7. (a) (i) 7 (ii) (iii) question (6). (a) 4. () 9. (a) 000 ml. cm 44 pounds (4) 0. (a) Gallium Oxygen C (). (a) describe line 460 (). (a) 4 cm cm image (4). (a) (i) 0 (ii) (i) 6 (ii) explain (6) 4. (a) 0 minutes 0 km/h (). (a) 4 9 () 6. (a) $ 4.4 (4) 7. (a).0,.,., (7). (a). g. g () 9. (a) (i) 4 (ii) reason 6 (4) 0. (a) 0 explain (). (a) w p y + 6y (d) 6( m) (4). (a) 0 isosceles (). (a), graph. () 4. (a) 4, 40 ()..6 cm (sf) or cm (sf) 4 (4) EF numerical answers Page 6

17 Foundation Tier Paper F. (a) arrow at arrow, 0 to. (a) (i) centimetres (ii) grams (iii) metres cm () arrow, 7 to (). 70 cm (). (a) 6 May June (d) (4). (a) (i) octagon (ii) % (i) 6 cm (ii) [ any squares ] (4) 4. (a) 4 7 and (d) and (4). Quickshop, working () 6. (a) (triangular) prism cone () 7. (a) 7p 4 0x (). (a) (i) (ii) 6.09 (sf) or 6. (sf) (4) 9. (a) 0 m 64 cm (4) 0. (a) radius tangent chord (d) sector (4) 4. 0 (). (a).6 (4) 6. (a) diagram 0 (4) 7. (a),, 0 (i) x 4 (ii) diagram (6). (a),, 9 (4) 9. mins (nearest min) () 0. (a) (i) ab (ii) x y(y + 7) (). (a) translation by 0 image image (6). 4 4 (4). C = n + () 4. (a) diagram 40 < P 60 (4). (a). cm (dp) π cm (4). (a) (i) (ii). (iii) 6 () EF numerical answers Page 7

18 Foundation Tier Paper G..9,, 0.47, (4). diagram (). (a) (i) 60 (ii) 000 (i) 9,, 0, 9 (ii) 0.09, 0.09, 0.09, 0.099, 0. () 4. (a) 9 boxes. (a) 9 (4) (d) 0 (4) 6. (a) diagram diagram (4) 7. (0 ), 90, 0, 4 (). (a) () 9. (a) (i) E (ii) B (iii) C 9 () 0. (a) negative line (d).0) (4). (a) m 6 (i) 7 (ii). (6). cm () 4. (a) 4 : 0 (4). (a), 7, 7 n + (4) 6. (a) mile, 00 m, 4 km, miles 0 km (4) 7. (a) not congruent explain (). (a) 6r x a + a (d) (m ) (e) p = y (6) 9. (a) (dp) () 0. (a) (i) and 7 (ii) and 9 example (4). (a) y = x y = x + y = 4 x ().. (dp) 4 (4)..9 cm (sf) or 6 cm (sf) 4 (4) 4. (a) 4 cm 07 cm (nearest cm) (). 0.7 km (sf) 4 (4). (a) (, ) ( 4, ) cm (4) EF numerical answers Page

19 Foundation Tier Paper H. (a) hour 0 minutes 9 minutes 4 (4). (a) parallelogram isosceles triangle hexagon (d) trapezium (4). (a) () 4. (a) diagram diagram (). (a) pounds 7. pounds 9. kg (d) 4. kg (4) 6. (a) Aberdeen Derby 7 C () 7. (a). (a) () 7 0 () 9. (a) C diagram () 0. (a) (i) (ii) 6 (iii) 0 table (). (a) x cm.4 cm (sf) or cm (sf) (4). (a) 7 g 4p (4)..0 () 4. (a) points negative line (d) km (4). (a) (i) 6 (ii) corresponding angles 76 (4) 6. (a) (i) diagram (ii) 9 (iii) explain (i) (ii) 6 () 7. (a) 4y q + 4 x (4). (a) 9. (6) 9. (a) 6 cm 0 cm diagram (7) 0. (a) km/h diagram (). (a) 0 0 (4). (a) x > diagram (). (a) 7.7 cm (dp) 67 cm (nearest cm ) 4 (6) EF numerical answers Page 9

20 Foundation Tier Paper I. (a) 0. 0% 7 0 (d) 00 (4). (a) (i) 6 (ii) 7 4 (i) impossible (ii) unlikely (). (a) arrow () 4. 9 sheets (). 74.9,,.0,.7,.0 () 6. (a) (i) 44 (ii) and 940 (iii) 940 and (6) 7. (a) diagram diagram (4). (a) (i) 70 (ii) reason (i) 40 (ii) reasons () 9. (a) (dp) () 0. (a) words km (4). (a) kg 40% (d) 0% (). (). (a) 900 g 00 cm () 4. (a) (6),, 4, (i) (ii) (iii). (a) (i) diagram (ii) diagram (4).9 cm (sf) or 4 cm (sf) () 6. (a),,,, 0 graph x. or. (6) cm 4 (4). (a) x + x + 6 () 9. (a) image describe () 0. (a) x 4 y z + 7 (4). (a) 7 9 (4)..04 m (). (a) (i) (ii) 7 (i) n (ii) n + () 4. (a) P < 0 () EF numerical answers Page 0

21 Foundation Tier Paper J. (a) 7 days (4). (a) (square-based) pyramid 60 0 (4). (a) (i) 47 (ii) add (i) diagram (ii), 6, 0, 4 () 4. (a) (i) (ii) diagram diagram (). data collection sheet () 6. 0 () 7. (a) (i) grams (ii) kilometres (iii) cubic centimetres 6 m (6). (a) (i) (ii) (iii) 0 9. (a) 44.0 () show,.0 (). (a) 6.9 (i) 0.09 (dp) (ii) 4. (dp) (4). (a) (nearest pound) (4) 4. (a) (i) (, ) (ii) (4, ) 4 cm cm (6). (a) 0 g 4 minutes () 6. (a) 4 cm. cm (dp) (6) 7. (a) (i) 6 (ii) (i) w (ii) a + 4b r = y 4. (a) image () image (4) 9. (a) (y + ) m (4) km (sf) 4 (4). x =. (dp) 4 (4). construction () 0. (a) 000 cm 6 times (4). (a) diagram 70 () EF numerical answers Page