16 M09/5/MATSD/SP1/ENG/TZ1/XX/M+
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1 16 M09/5/MATSD/SP1/ENG/TZ1/XX/M+ QUESTION 1 (a) (i) F (ii) T (iii) F (iv) F (C4) IQR Note: Award for identifying correct quartiles. IQR (ft) QUESTION 2 (a) If the sun is shining then I will go swimming. Note: Award for if then and for correct order. Either the sun is not shining or I will go swimming. Note: Award for both correct statements and for either or. (c) p q p q p p q T T T F T T F F F F F T T T T F F T T T (C1) (d) They are (logically) equivalent. (C1) Note: Do not accept any other answers.
2 17 M09/5/MATSD/SP1/ENG/TZ1/XX/M+ QUESTION (a) u21 Note: Award for correct substituted formula, for correct substitutions. u21 (C) S 1 2(24) (ft) Note: Award for correct substituted formula, (ft)for correct substitutions. (ft) from their value for d. S1 (ft) (C) QUESTION 4 (a) 6 OR (0, 6) (C1) (2 Note: Award for substitution in gradient formula. (c) Angle clearly identified. (C1) (d) tan (or equivalent fraction) 26.6 (ft) Note: (ft) from Accept alternative correct trigonometrical methods.
3 18 M09/5/MATSD/SP1/ENG/TZ1/XX/M+ QUESTION 5 (a) (x x x x (ft)(ft) (c) x x Note: Award maximum of (A0) if coordinate pairs given. OR for an attempt to solve substituted. 2 x x via formula with correct values x 2 QUESTION 6 (a) ( The preferred type of drink is independent of age. (C1) Note: For independent accept not associated but do not accept not related or not correlated (c) (12.6) (C1) (d) Reject null hypothesis as critical value 2 calc (R1)(ft) Note: (ft) from their value in (c). OR Reject null hypothesis as p-value 0.05 (R1) Notes: Do not award (R0). Award the (R1) for comparison of correct values.
4 19 M09/5/MATSD/SP1/ENG/TZ1/XX/M+ QUESTION 7 (a) x Notes: Award for x for. The mark for x = is not awarded unless a constant is seen on the other side of the equation. ( (Accept x y ) (ft) Note: Award (A0) for missing coordinate brackets. (c) y (ft) Notes: Award for y, (ft) for 14. Accept alternative notation for intervals.
5 20 M09/5/MATSD/SP1/ENG/TZ1/XX/M+ QUESTION 8 Financial penalty (FP) applies in parts and (c) (a) r (or equivalent) Note: Award for dividing correct terms. r Notes: In and (c) (ft) from candidate s r. Allow lists, graphs etc. as working in and (c). Fees Note: Award for correct substitution into correct formula. (FP) Fees USD (USD not required) (ft) Note: Special exception to the note above. Award maximum of (A0) if 5 is used as the power. (c) Total Notes: Award for correct substitution into correct formula. Give full credit for solution by lists. (FP) Total USD (USD not required) (ft)
6 21 M09/5/MATSD/SP1/ENG/TZ1/XX/M+ QUESTION 9 (a) 180 (C1) (i) a (ii) b (iii) c (C) (c) 2 Notes: Award for line at y (with any domain). Accept some indication of intersection seen on graph. Award (A0) if solutions given (x and x. QUESTION 10 (a) sin ABC ˆ sin Note: Award for correct substituted formula, for correct substitution. ABC ˆ 90 ACB ˆ 60 (ft) (C4) Note: Radians give no solution, award maximum (A0) Note: Award for correct substitution into correct formula. % error % Notes: Percentage symbol not required. Accept positive answer.
7 22 M09/5/MATSD/SP1/ENG/TZ1/XX/M+ QUESTION 11 (a) 4 24 Note: Award for numerator, for denominator ( (ft) Note: Award (ft) from the denominator used in (a). (c) Note: 7 (0.429 (ft) Award for numerator (ft) for denominator, (ft) from their numerator in.
8 2 M09/5/MATSD/SP1/ENG/TZ1/XX/M+ QUESTION 12 C 2.55 (a) Note: Award for the simple interest formula with values from question. C UD n Notes: Award for substitution into compound interest formula. Award for correct values n n 2n OR n Notes: Award for seen. Award for substitution into compound interest formula. Award for correct values. n years.5 years required (C4) Notes: For incorrect substitution into compound interest formula award at most (A0)(A0) Award (A) for.44 seen without working. Allow solution by lists. In this case Award for half year rate 1.25 % seen. for seen for at least 2 correct uses of multiplication by and n If yearly rate used then award (A0)(A0)
9 24 M09/5/MATSD/SP1/ENG/TZ1/XX/M+ QUESTION 1 Unit penalty (UP) applies in parts (a) and (a) Volume of tennis ball Note: Award for correct substitution into correct formula. (UP) Volume of tennis ball cm Volume of empty space Note: Award for correct substitution into cylinder formula, 4their (a), for subtracting appropriate volumes. (UP) Volume of empty space cm (ft) (C4) Note: Accept 12 cm with use of 11. QUESTION 14 (a) pq 47 4p q Reasonable attempt to solve their equations p q Note: Accept only the answers p q. (c) 0.5 (10) C 2 C (ft) Note: Award for substitution of 10 into the formula with their values of p and q.
10 25 M09/5/MATSD/SP1/ENG/TZ1/XX/M+ QUESTION 15 (a) yx Note: Award for x seen. gradient 4x (C1) (c) (i) 4x Note: Award for equating their answers to (a) and. x (ii) ( Note: Award (ft) for substitution of their (c)(i) into 4 x with working seen. (ft) (ft) (C)
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