1MA1 Practice Tests Set 1: Paper 1F (Regular) mark scheme Version 1.0 Question Working Answer Mark Notes
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1 5, 3, 4, 6, 9 B cao 4.3 B cao 3 3/0 B oe 4 70% B cao 5 96(30 5 M 30 (6 + 9) or or M for correct order of operations +7 then M for forming the equation 3x 7 = 5 and showing intention to add 7 to both sides or divide each term by 3 as a first step NB Embedded solutions get M mark provided the equation or working is complete. M for 60 5 oe 50 seen M for seen seen seen A for.50 Accept.5 or 50p with crossed out MA Practice Papers: Set Regular (F) mark scheme Version.0 This publication may only be reproduced in accordance with Pearson Education Limited copyright policy. 06 Pearson Education Limited.
2 (a) B cao (b) 9 M for complete method to find total number of white bread sandwiches or or total number of brown bread sandwiches or 9 M for method to find difference between white and brown ham or ± or white and brown egg or ± (may result in positive or negative number) 9 (i) Square 3 B for square or drawing of a square (ii) 5 9 M for A for n 9 5 9, n < 9 or 5 or 5 m,, m > 5 (SC B for 5 in 9, 5 out of 9, 5 : 4) 0 4 M for method to find 5% of 30 (a) 9 B cao (b) 50 B cao MA Practice paper F (Set ) mark scheme: Version.0
3 (a) (S, C) (S, F) (S, O) (b) (M, C) (M, F) (M, O) list of 6 meals B cao 6 (B for at least 3 more correct pairs and no incorrect pairs or all correct pairs with repeats) B ft from (a) (c) Reason B e.g. lists more than one new combination = = *4 (a) 0 45 B e.g. there will be 9 different meals e.g. there will be 3 more meals 5 4 M for oe or 0 seen or ( + ) oe (M for the sum of 3 sides of the rectangle) M (dep) for the sum of 3 or 4 sides of the rectangle 4 or an attempt to evaluate ( + ) oe to get the length of one side SC: B for an answer of 4 coming from oe (b) Example of figures for comparison 7min 30 sec with 7 min secs 3 mins 43 secs with 3mins 45 secs 4 secs with 5 secs 3mins 44 secs with 3 mins 45 secs No 3 M for doubling Seeta s time or halving Ninal s time or finding the difference between the two times Eg 3 min 45 sec or (7m s ) or 7m s-3min 45 secs M for a complete method to convert their time(s) to common units with the units stated C for No and correct figures compared (could be in secs or mins and secs) MA Practice paper F (Set ) mark scheme: Version.0 3
4 = XXXX 3 0.6, 0.606, 65%, 5 3 M Use of common denominator: as or writing both 4 4 fractions with a common denominator other than with at least one of the fractions correct A 5 Accept 0.65 only M for sight of the addition table and + (= 0) A 5 M for attempt to convert all to the same form for comparison with at least one correct conversion (Accept at least 0.66, %, 67% or better for A for a correctly ordered list (in any form) 7. 3 M for use of 000 g in kg SC B for correct numbers in reverse order if no method seen. e.g (=5) ; (=0.) oe ; 0% ; 500g costs.0 ; 00g costs 56p M(dep) for a fully correct method e.g (=.) or 56 A. or p 3 ) MA Practice paper F (Set ) mark scheme: Version.0 4
5 M for a correct method to find of 4 (=) or of 4 (=6) M for a correct method to find 60% (= 7.) or 40% (= 4.) of or 60% (= 4.4) or 40% (= 9.6) of 4 M (dep on at least M) for a method to find the sum of their discounted adult ticket + their discounted child ticket A 5.6(0) M for complete method with relative place value correct. Condone multiplication error, addition not necessary. M for a complete grid. Condone multiplication error, addition not necessary. M for sight of a complete partitioning method, condone multiplication error. Final addition not necessary. A for 6.7 (A (dep on M) for correct placement of decimal point after final addition of appropriate values or for digits 67 seen) (SC; B for attempting to add 36 lots of 4.5) MA Practice paper F (Set ) mark scheme: Version.0 5
6 0 x y y = 3x + drawn 4 B for axes scaled and labelled (Table of values) M for at least correct attempts to find points by substituting values of x M ft for plotting at least of their points (any points from their table must be correctly plotted) A for correct line between x = and x = (No table of values) M for at least correct points with no more than incorrect points M for at least correct points (and no incorrect points) plotted line segment of y = 3x + drawn A for correct line between x = and x = (Use of y = mx + c) M for line drawn with gradient of 3 line drawn with y intercept at M for line drawn with gradient of 3 AND with y intercept at A for correct line between x = and x = [SC B (indep of B) for correct line segment between x = 0 and x = ignore any additional incorrect line segment(s)] MA Practice paper F (Set ) mark scheme: Version.0 6
7 (a) (4,0) (3, 0) (3, -) (, -) (, ) (4, ) (b) (a) ( x ) x Correct position B for correct shape in correct position Rotation 0 (0,) = ( x ) x + (B for any incorrect translation of correct shape) 3 B for rotation B for 0 (ignore direction) B for (0, ) B for enlargement B for scale factor B for (0, ) (b) 6a 5 b B cao (NB: a combination of transformations gets B0) B x + or ( x ) (B exactly out of 3 terms correct in a product or a 5 b or 6a + 3 b + ) MA Practice paper F (Set ) mark scheme: Version.0 7
8 *3 0 9 :0 9 3:0 9 5 = 0:60:00 Not enough cement (but enough sand and enough gravel) 5:3 5:5 5 =5:45: = 35 (<0) Not enough cement (to make 0kg of concrete) H < 7.5 B 7.5 No + reason 4 M for 0 ( ) ( = 0) or 3 multiples of : 3: 5 M for 0 or 3 0 or 5 0 or 0 seen or 60 seen or 00 seen A for (Cement =) 0, (Sand =) 60, (Gravel) = 00 C ft (provided both Ms awarded) for not enough cement oe M for ( 5 and) 3 5 and 5 5 or 9 5 or sight of the numbers 5, 45, 75 together. M for A for 35 (<0) C ft (provided both Ms awarded) for not enough cement oe B 7.5 MA Practice paper F (Set ) mark scheme: Version.0
9 *5 (a) 0 B cao (b) Ed is cheaper up to 0 miles, Bill is cheaper for more than 0 miles Miles Ed Bill y x 3 M for correct line for Ed intersecting at (0,30) ± sq tolerance or 0 + x =.5x oe C (dep on M) for a correct full statement ft from graph e.g. Ed cheaper up to 0 miles and Bill cheaper for more than 0 miles (C (dep on M) for a correct conclusion ft from graph e.g. cheaper at 0 miles with Ed ; e.g. cheaper at 50 miles with Bill; e.g. same cost at 0 miles; e.g. for 5 go further with Bill or A general statement covering short and long distances; e.g. Ed is cheaper for shorter distances and Bill is cheaper for long distances); M for correct method to work out Ed's delivery cost for at least values of n miles where 0 < n 50 or for correct method to work out Ed and Bill's delivery cost for n miles where 0 < n 50 C (dep on M) for 0 miles linked with 30 for Ed and Bill with correct full statement e.g. Ed cheaper up to 0 miles and Bill cheaper for more than 0 miles MA Practice paper F (Set ) mark scheme: Version.0 9
10 (C (dep on M) for a correct conclusion e.g. cheaper at 0 miles with Ed; e.g. cheaper at 50 miles with Bill; e.g. same cost at 0 miles; e.g. for 5 go further with Bill or A general statement covering short and long distances; e.g. Ed is cheaper for shorter distances and Bill is cheaper for long distances) SC: B for correct full statement seen with no working e.g. Ed cheaper up to 0 miles and Bill cheaper for more than 0 miles 6 (a) 5 9 B for 5 9 oe (eg 5 to 9) QWC Decision and justification should be clear with working clearly presented and attributable (b) Frequency polygon through (, ), (7, ), (, 9), (7, 4) and (, ) B for a complete and correct polygon (ignore any histograms, any lines below a mark of or above a line of, but award B only if there is a line joining the first to last point) (B for one vertical or one horizontal plotting error for incorrect but consistent error in placing the midpoints horizontally (accept end points of intervals) for correct plotting of mid-interval values but not joined ) Plotting tolerance ± ½ square Points to be joined by lines (ruled or hand-drawn but not curves) MA Practice paper F (Set ) mark scheme: Version.0 0
11 7 6 0 = (6 0) = 4 3 M for 6 0 or 40 seen M (dep) for '40' (6 0) oe M for 0 0 (=) or 0 0 (= M (dep) for '' or or 0 ) or 0 oe or 0 oe or 0 SC : B for answer of 6 coming from 0 6 oe M for any correct use of distance, speed, time formulae, e.g (=0.5) or 5 min M (dep) for a complete method to find speed from G to H, e.g. (35 5 ) 60 oe. 9 (a) B cao (b) B oe Accept oe MA Practice paper F (Set ) mark scheme: Version.0
12 National performance data from Results Plus Mean score of students achieving grade: Qn Spec Paper Session YYMM Qu Topic Mean score Max score Mean % all ALL C D E F G NEW No data available for this question NEW No data available for this question 3 37 F 07 Q05 Fractions, percentages and decimals No data available for this question 4 37 F 07 Q05 Fractions, percentages and decimals No data available for this question 5 30 F 0906 Q0 Directed numbers MA0 F 3 Q3 Derive expressions F 006 Q05 Ratio MA0 F 306 Q0 Bar charts F 006 Q Probability MA0 F 4 Q09 Percentages MA0 F 506 Q3 Solve linear equations F 03 Q5 Sample space diagrams MA0 F 06 Q4 Perimeter and area MA0 F 303 Q0 Time calculations F 09 Q6 Fractions MA0 F 3 Q7 Fractions, percentages and decimals MA0 F 306 Q9 Decimals MA0 F 406 Q Percentages F 006 Q7 Four operations MA0 F 3 Q6 Graphs of linear equations MA0 F 306 Q6 Translations H 03 Q5cd Simplify expressions MA0 H Q3 Ratio NEW Bounds No data available for this question 5 MA0 F 06 Q Conversion graphs H 006 Q0 Frequency diagrams MA0 H 06 Q Volume MA0 H 506 Q4 Compound measures H 09 Q4 Index laws MA Practice paper F (Set ) mark scheme: Version.0
1MA1 Practice Tests Set 1: Paper 1F (Regular) mark scheme Version 1.0 Question Working Answer Mark Notes
1 5, 3, 4, 6, 9 1 B1 cao 2 4.3 1 B1 cao 3 3/10 1 B1 oe 4 70% 1 B1 cao 5 916(30 5 2 M1 30 (16 + 9) or 30 16 9 or 30 9 16 6 4 2 M1 for correct order of operations +7 then 3 M1 for forming the equation 3x
More information[Note: each line drawn must be a single line segment satisfying x = 3] (b) y = x drawn 1 B1 for y = x drawn
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