GCSE Mathematics Foundation Tier

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

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) 7 4 4 (4). (a) drawing (i) 7 (ii) n + (6) 4. (a) 9 = 7 7 + 6 = 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

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).40.0.60 (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) 94 46 () 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

Foundation Tier Paper C. (a) 6 000 000 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) 6. 0.6 () 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

Foundation Tier Paper D. (a) words 600 4 (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 60 00 (). (a) 0 000 0. (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

Foundation Tier Paper E. (a) 7 4 40 (4). (a) diagram diagram diagram (4). (a) words 40 40 (4) 4. (a) 9 7 49 0 94 0.0 0. 0.9 0.6 6% 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

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) 7 0 0.4 (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

Foundation Tier Paper G. (a) 40 g 0 g 7 g (4). (a) (i) (ii) 9 pictogram (6 on Fri) (). (a) 6 = 0 6 7 = 9 70 6 = 4 (d) 760 (4) 4. squ; squ, par; squ, kite (). (a) 0.7 00 0% (d) [ any squares ] (4) 6. (a) 60 words (i) (ii) and (iii) () 7. 40 (). (a) (i) 40 (ii) 0, () 9. (a) (i) 9 (ii) reason drawing (4) 0. (a) 0 0 4 (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, 0 4 0. (a) P + 4 (P + 4) () 9 (). (a) image image (). yes, working () EF numerical answers Page

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

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) 00 44 4 760 (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) 7 9 0 4. (a) (i) 44 (ii) 7 () 9.7 km (). (a) 4 cm 6. (a) 6 4 (6) : (4) 7. (a) 6 (). 4 000 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

Foundation Tier Paper J. (a) hexagon EF CDE marked X (d) 4. cm (4). (a) 69 words 60 00 (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) 6 0 0 () 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) 0 9. 4 49 (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

Foundation Tier Paper A. (a) image diagram (4). question (). (a) % 0.7 0.06 (d) 6 (4) 4. (a) pentagon 6. cm 9 (d) obtuse (4). (a).60 4.90 (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 7 0 0 () 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) 000 440 (). 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

Foundation Tier Paper B. (a) octagon (i) (ii) diagram (4). (a) 0. 00 diagram (). 0.4 () 4. (a) 7,,, 4 4 0 (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) 6. 76.9 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

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) 6 49 4 (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).06976744.07 (). 40 4 (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

Foundation Tier Paper D. (a) image (). (a).9 4.7 (). (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) 7. 0. (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 (). 77.4 () 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 (). 40.6 cm (sf) or 4 cm (sf) 4 (4). (a) (i) a (ii) s 4r p(p 4) () 4. 46. cm (sf) (). kg 4 (4) EF numerical answers Page

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,.,.,.0 4.40 (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

Foundation Tier Paper F. (a) arrow at arrow, 0 to. (a) (i) centimetres (ii) grams (iii) metres 40 000 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) 7.4 0 (i) 6.09090909 (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

Foundation Tier Paper G..9,, 0.47, 6.4 4 (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).40.60 () 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) 7. 4.7 (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

Foundation Tier Paper H. (a) hour 0 minutes 9 minutes 4 (4). (a) parallelogram isosceles triangle hexagon (d) trapezium (4). (a) 4 7.6.9 () 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

Foundation Tier Paper I. (a) 0. 0% 7 0 (d) 00 (4). (a) (i) 6 (ii) 7 4 (i) impossible (ii) unlikely (). (a) 0 7.6 arrow () 4. 9 sheets (). 74.9,,.0,.7,.0 () 6. (a) (i) 44 (ii) and 940 (iii) 940 and 07 60 00 (6) 7. (a) diagram diagram (4). (a) (i) 70 (ii) reason (i) 40 (ii) reasons () 9. (a).647 76.6 (dp) () 0. (a) words 00 000 000 km (4). (a) 74 99 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) 7. 0. 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) 0.0 4 0 P < 0 () EF numerical answers Page 0

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) 497 60 (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) 0. 6. km (sf) 4 (4). x =. (dp) 4 (4). construction () 0. (a) 000 cm 6 times (4). (a) diagram 70 () EF numerical answers Page