1MA1 Practice Tests Set 1 - Paper 3H (Regular) - Mark scheme - Version 1.0

Sep 5, 2026

Upload by Liam

Mark scheme for 1MA1 Practice Tests Set 1, Paper 3H (Regular), Version 1.0, providing question-by-question guidance for expected working, model answers, and mark allocation. Includes answers and marking points for geometry angle calculations using triangle/parallel-line angle facts, number and factor/LCM-style reasoning, probability or counting-style bead/ratio tasks, percentage comparisons, algebraic inequalities, circle or sector/π-based area/length computations, algebraic expansion feedback, compound interest calculations, and algebraic equation solving with acceptable alternative partitions and method notes.

LanguageEnglish

CategoryExam

FormatPDF

Pages15

Reading Time38 min

AccessFree to download

Question 1

Angles and triangle/parallel-line reasoning

Question 2

Multiples, LCM/factor-tree style methods and pricing-style combinations

Question 3

Bead counting with ratios and total/solution verification

Question 4

Percentage comparison using equivalences

Question 5

Algebraic inequality for months' amounts

Question 6

Circle/π calculations and range checking

Question 7

Algebraic expansion correctness

Question 8

Compound interest multipliers

Question 9

Expanding products to form equations and solving

| 1MA1 Practice Tests Set 1: Paper 3H (Regular) mark scheme – Version 1.0 | | | | | | | --- | --- | --- | --- | --- | --- | | Question | | Working | Answer | Mark | Notes | | 1 | | Angle BAC = 76°
Angle BAP =
180° – 90° – 54° = 36° x = 76° – 36°
OR
Angle QCD = 54°
Angle ACP =
180° – 76° – 54° = 50° x = 180° − 90° – 50 ° | 40o | 4 | B1 for Angle BAC = 76° (could be just on the diagram)
M1 for 76° –(“180° – 90 – 54°”)
A1 for x = 40° (explicitly stated)
C1 (dep on M1) for ‘the sum of the angles ofa triangle is 180 °’and ‘alternate angles on parallel lines are equal’
OR
B1 for Angle QCD = 54° (could be just on the diagram)
M1 for 180° – 90° –(“180° – 76 °– 54°”)
A1 for x = 40o (explicitly stated)
C1 (dep on M1) for ‘corresponding angles on parallel lines are equal’ and ‘sum of the angles on a straight line is 180o’ and‘the sum of the angles ofa triangle is 180o’
or ‘corresponding angles on parallel lines are equal’ and‘exterior angle of a triangle is equal to the sum of the two interior opposite angles’
OR
M1 for angle QCB = 180 – 54 (=126)
M1 for 180 – 90 – “126 – 76”
A1 for x = 40o (explicitly stated)
C1 (dep on M1) for ‘sum of allied angles = 180􀁱’ and ‘the sum of the angles of a triangle is 180 | | 1MA1 Practice Tests Set 1: Paper 3H (Regular) mark scheme – Version 1.0 | | | | | | | --- | --- | --- | --- | --- | --- | | Question | | Working | Answer | Mark | Notes | | 2 | | 25 50 75 100 125 150
175
35 70 105 140 175 | 10·96 | 5 | M1 for attempt to find the LCM of 25 and 35 eg at least 3 correct multiples of 25 and at least 3 correct multiples of 35 or 2 factor trees with at least one correct
A1 for 175
"175" "175"
M1 for at least one of or “5” or or “7” or 5.50 or
25 35
5.46 either unassociated or associated with the correct pack.
M1 for “5” × £1.10 + “7” × 78p A1 cao.
OR
M2 for attempt to find the number of packs of cups and plates eg sight of 5 (× 35) or 7 (× 25)
A1 for 5 (× 35) and 7 (× 25) M1 for 5 × £1.10 + 7 × 78p A1 cao | | 1MA1 Practice Tests Set 1: Paper 3H (Regular) mark scheme – Version 1.0 | | | | | | | --- | --- | --- | --- | --- | --- | | Question | | Working | Answer | Mark | Notes | | 3 | (a)
(b)
(c) | | 5
14
54
e.g. 6 green | 1
3
3 | B1 for 154 oe fraction
M1 for 84 ÷ (5 + 9) (= 6) or 1 – “(a)”(= )
M1 for 84 ÷ (5 + 9) × 9 oe or
A1 cao
M1 for correct method to find twice as many green beads as red beads, e.g. 2 × 30 (= 60) or 2 × (84 – “54”) or “54” + “6”(= 60) A1 for 6 (green) OR ifn reds are added then 2n + 6 (greens), where n and 2n could be numbers OR 30 (red) and 60 (green) C1 (dep on M1) for showing correct relevant working and clear conclusion stating number of green beads or stating total numbers of red beads and green beads | | 4 | | 4842.455 􀁵100
OR
11100 􀁵 425 􀀠 46.75 | Katie spends more | 3 | M1 for 4842.455 􀁵100 A1 for 11.4
C1 (dep on M1)for conclusion ft from comparison of two percentages
OR
M1 for 11010 􀁵 425 or for 10% = 42.5(0), 1% = 4.25, 42.5(0) + 4.25
A1 for 46.75
C1 (dep on M1)for correct ft from comparison of “46.75” and 48.45 | | 1MA1 Practice Tests Set 1: Paper 3H (Regular) mark scheme – Version 1.0 | | | | | | | --- | --- | --- | --- | --- | --- | | Question | | Working | Answer | Mark | Notes | | 5 | | Jan x Feb 2x Mar 2x + 10
Apr 12 (2x + 10)
x 􀀎 2x 􀀎 2x 􀀎10 􀀎 12 􀀋2x 􀀎10 􀀌 􀀡123
6x+15≥123 | 18 | 5 | M1 for a method to express all 4 months’ amounts algebraically (at least 3 correct, ft)
M1for an expression for total with at least 3 correct terms added
M1 for a correct inequality stated algebraically M1 for an inequality reduced to ax > b-c A1 cao
NB: accept inequalities written as equations SC T&I is 5 marks for 18, otherwise 0 marks | | 1MA1 Practice Tests Set 1: Paper 3H (Regular) mark scheme – Version 1.0 | | | | | | | --- | --- | --- | --- | --- | --- | | Question | | Wo

FAQs

What does the document provide for each question?

It lists expected working, corresponding answers, mark points, and notes on what methods are acceptable.

How are geometry questions in Question 1 marked?

Marks are awarded for correct angle relationships using triangle angle sum and parallel-line/alternate or corresponding angle equalities, with acceptance for diagram-only values where noted.

How are compound interest questions handled in Question 8?

Marks cover identifying the correct annual multiplier(s) and applying compound interest year-on-year, with alternative acceptable methods not relying on a direct multiplier.

Sep 5, 2026

Upload by Liam