Mathematics
Paper 1 (Non-calculator)
Common questions: Foundation/Higher tier
Practice Tests Set 1 / Paper Reference
1MA1/1F - 1H
You must have:
Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser. Tracing paper may be used.
Instructions
- Use black ink or ball-point pen.
- Answer all questions.
- Answer the questions in the spaces provided
– there may be more space than you need.
- Calculators must not be used.
- Diagrams are NOT accurately drawn, unless otherwise indicated.
- You must show all your working out.
Information
- The total mark for this paper is 23
- A typical C grade student might be expected to score at least 9 marks
- The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
- Read each question carefully before you start to answer it.
- Keep an eye on the time.
- Try to answer every question.
- Check your answers if you have time at the end.
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1.
(a)Translate shape P by the vector .
(2)
(b)Describe fully the single transformation that maps shape A onto shape B.
......
......
(3)
(Total 5 marks)
______
2. (a) Simplify
......
(1)
(b) Simplify 2a2b × 3a3b
......
(2)
(Total 3 marks)
______
3.Talil is going to make some concrete mix.
He needs to mix cement, sand and gravel in the ratio 1 : 3 : 5 by weight.
Talil wants to make 180 kg of concrete mix.
Talil has
15 kg of cement
85 kg of sand
100 kg of gravel
Does Talil have enough cement, sand and gravel to make the concrete mix?
(Total 4 marks)
______
4.The height, H cm, of a table is measured as 72 cm correct to the nearest centimetre.
Complete the following statement to show the range of possible values of H.
...... ≤ H < ......
(Total 2 marks)
______
5.Sasha carried out a survey of 60 students.
She asked them how many CDs they each have.
This table shows information about the numbers of CDs these students have.
Number of CDs / 0 – 4 / 5 – 9 / 10 – 14 / 15 – 19 / 20 – 24Frequency / 8 / 11 / 9 / 14 / 18
(a) Write down the class interval containing the median.
......
(1)
(b) On the grid, draw a frequency polygon to show the information given in the table.
(2)
(Total 3 marks)
______
6. Jane has a carton of orange juice.
The carton is in the shape of a cuboid.
The depth of the orange juice in the carton is 8 cm.
Jane closes the carton.
Then she turns the carton over so that it stands on the shaded face.
Work out the depth, in cm, of the orange juice now.
...... cm
(Total 3 marks)
______
7.The distance from Fulbeck to Ganby is 10 miles.
The distance from Ganby to Horton is 18 miles.
Raksha is going to drive from Fulbeck to Ganby.
Then she will drive from Ganby to Horton.
Raksha leaves Fulbeck at 10 00.
She drives from Fulbeck to Ganby at an average speed of 40mph.
Raksha wants to get to Horton at 10 35.
Work out the average speed Raksha must drive at from Ganby to Horton.
...... mph
(Total 3 marks)
______
TOTAL: 23 MARKS
1
1MA1 Practice Tests Set 1: Common Questions from 1F and 1H mark scheme – Version 1.0Question / Working / Answer / Mark / Notes
1 / (a) / (4,0) (3, 0) (3, –1) (2, –1) (2, 2) (4, 2) / Correct position / 2 / B2 for correct shape in correct position
(B1 for any incorrect translation of correct shape)
(b) / Rotation
180
(0,1) / 3 / B1 for rotation
B1 for 180 (ignore direction)
B1 for (0, 1)
OR
B1 for enlargement
B1 for scale factor −1
B1 for (0, 1)
(NB: a combination of transformations gets B0)
2 / (a) / = / x + 2 / 1 / B1 x + 2 or
(b) / 6a5b2 / 2 / B2 cao
(B1 exactly 2 out of 3 terms correct in a product or a5b2 or 6a2+3b1 + 1)
3 / 180 ÷ 9 × 1:180 ÷ 9 × 3:180 ÷ 9 × 5 = 20:60:100
Not enough cement
(but enough sand and enough gravel)
OR
1 × 15:3 × 15:5 × 15 =15:45:75
15 + 45 + 75 = 135 (<180)
Not enough cement (to make 180kg of concrete) / No + reason / 4 / M1 for 180 ÷ (1 + 3 + 5) ( = 20) or 3 multiples of 1: 3: 5
M1 for 1 × ”20” or 3 × ”20” or 5 × ”20” or 20 seen or 60 seen or 100 seen
A1 for (Cement =) 20, (Sand =) 60, (Gravel) = 100
C1 ft (provided both Ms awarded) for not enough cement oe
OR
M1 for (1 × 15 and) 3 × 15 and 5 × 15 or 9 × 15 or sight of the numbers 15, 45, 75 together.
M1 for ‘15’ + ‘45’ + ‘75’
A1 for 135 (<180)
C1 ft (provided both Ms awarded) for not enough cement oe
4 / 71.5 ≤ H < 72.5 / 2 / B1 71.5
B1 72.5
5 / (a) / 15 – 19 / 1 / B1 for 15 – 19 oe (eg 15 to 19)
(b) / Frequency polygon through (2, 8), (7, 11), (12, 9), (17, 14) and
(22, 18) / 2 / B2 for a complete and correct polygon (ignore any histograms, any lines below a mark of 2 or above a line of 22, but award B1 only if there is a line joining the first to last point)
(B1 for one vertical or one horizontal plotting error
OR for incorrect but consistent error in placing the midpoints horizontally (accept end points of intervals)
OR 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)
6 / 6 × 10 × 8 = 480
480 ÷ (6 × 20) = / 4 / 3 / M1 for 6 × 10 × 8 or 480 seen
M1 (dep) for '480' ÷ (6 × 20) oe
A1 cao
OR
M1 for 20 ÷ 10 (=2) or 10 ÷ 20 (=) or oe or oe
M1 (dep) for 8 ÷ '2' or 8 × or × 10 oe or 10 ÷
A1 cao
SC : B2 for answer of 16 coming from oe
7 / 54 / 3 / M1 for any correct use of distance, speed, time formulae, e.g. 10 ÷ 40 (=0.25) or 15 min
M1 (dep) for a complete method to find speed from G to H,
e.g. 18 ÷ (35 – “15”) × 60 oe.
A1 cao
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
21 / 1MA0 / 1F / 1306 / Q26 / Translations / 1.20 / 5 / 24 / 1.20 / 2.57 / 1.63 / 1.04 / 0.62 / 0.34
22 / 1380 / 1H / 1203 / Q15cd / Simplify expressions / 1.62 / 3 / 54 / 1.62 / 1.33 / 0.74 / 0.45
23 / 1MA0 / 1H / 1211 / Q13 / Ratio / 1.76 / 4 / 44 / 1.76 / 1.60 / 0.61 / 0.16
1 / NEW / Bounds / 2 / No data available for this question
2 / 1380 / 1H / 1006 / Q08 / Frequency diagrams / 1.53 / 3 / 51 / 1.53 / 0.96 / 0.56 / 0.34
3 / 1MA0 / 1H / 1206 / Q12 / Volume / 1.11 / 3 / 37 / 1.11 / 0.75 / 0.48 / 0.36
4 / 1MA0 / 1H / 1506 / Q14 / Compound measures / 1.03 / 3 / 34 / 1.03 / 0.64 / 0.23 / 0.09
23
1