Answer ALL questions - Weebly
[pic]
Instructions
• Use black ink or ball-point pen.
• Fill in the boxes at the top of this page with your name,
centre number and candidate number.
• Answer all questions.
• Answer the questions in the spaces provided
– there may be more space than you need.
• Calculators must not be used.
Information
• The total mark for this paper is 100
• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
• Questions labelled with an asterisk (*) are ones where the quality of your
written communication will be assessed.
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.
GCSE Mathematics 1MA0
Formulae: Foundation Tier
You must not write on this formulae page.
Anything you write on this formulae page will gain NO credit.
Area of trapezium = [pic](a + b)h
[pic]
Volume of prism = area of cross section × length
[pic]
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all stages in your working.
You must NOT use a calculator.
1. The table shows some information about six students.
|Name |Gender |Age |Hair colour |
|Ali |male |14 |brown |
|Becky |female |13 |blonde |
|Charlie |male |15 |black |
|Derek |male |14 |blonde |
|Fran |female |16 |red |
|Gary |male |13 |brown |
(a) Write down Charlie’s hair colour.
.............................................
(1)
(b) Write down the name of the oldest student.
.............................................
(1)
One student is 14 years old and has blonde hair.
(c) Write down the name of this student.
.............................................
(1)
(Total for Question 1 is 3 marks)
___________________________________________________________________________
2. (a) Write down the number marked with the arrow.
[pic]
.............................................
(1)
(b) Write the number twenty three thousand and seventy nine in figures.
.............................................
(1)
(c) Write down the value of the 8 in 3876.
.............................................
(1)
(Total for Question 2 is 3 marks)
__________________________________________________________________________
3. Ruth is 1.23 m tall.
Lee is 6 cm shorter than Ruth.
How tall is Lee?
.............................................
(Total for Question 3 is 2 marks)
__________________________________________________________________________
4. Here are eight shapes drawn on a grid of centimetre squares.
[pic]
Two of these shapes are congruent.
(a) Write down the letters of these two shapes.
........................ and ........................
(1)
Shape H is an enlargement of one of the other shapes.
(b) Which shape?
.............................................
(1)
(Total for Question 4 is 2 marks)
___________________________________________________________________________
5.
[pic]
(a) Write down the coordinates of the point Q.
(............................ , ............................)
(1)
M is the midpoint of the line RQ.
(b) On the grid, mark with a cross (X) the point M.
(1)
(Total for Question 5 is 2 marks)
__________________________________________________________________________
6. There are 120 people at a party.
[pic] of the people leave the party.
Work out the number of people still at the party.
.............................................
(Total for Question 6 is 3 marks)
__________________________________________________________________________
7. Here is a probability scale.
It shows the probability of each of the events A, B, C, D and E.
[pic]
(a) Write down the letter of the event that is impossible.
.............................................
(1)
(b) Write down the letter of the event that is likely but not certain.
.............................................
(1)
(Total for Question 7 is 2 marks)
___________________________________________________________________________
8. (a) Measure the length of the line AB.
[pic]
.............................................
(2)
[pic]
(b) (i) Write down the special name for the angle marked x.
.............................................
(ii) Measure the size of the angle marked x.
.............................................°
(2)
(Total for Question 8 is 4 marks)
__________________________________________________________________________
9. Here is a menu in a cafe.
|Menu |
|Starter |Main course |
|soup |fish |
|juice |meat |
| |pasta |
Sally is going to have a meal in the cafe.
She is going to choose one starter and one main course.
Make a list of all the different meals Sally can choose.
......................................................................................................................................................
......................................................................................................................................................
......................................................................................................................................................
(Total for Question 9 is 2 marks)
___________________________________________________________________________
10. Jack and Lewis are in a singing competition.
5 judges each give Jack and Lewis points.
These points are shown below.
|Jack |4 |6 |2 |4 |6 |
|Lewis |2 |6 |7 |0 |4 |
Jack gets more points than Lewis.
Work out how many more points.
.............................................
(Total for Question 10 is 2 marks)
__________________________________________________________________________
11. Here are 10 letters.
|A |A |B |C |
......................................................................................................................................................
(1)
(b) Write these numbers in order of size.
Start with the smallest number.
|75% |[pic] |0.25 |[pic] |[pic] |
......................................................................................................................................................
(2)
(Total for Question 15 is 3 marks)
__________________________________________________________________________
16. Ashley takes his 2 children to the cinema.
He has £30 to spend.
|Ticket prices | |Drink prices |
|adult £8.20 | | large £3.45 |
| | | |
|child £6.10 | | medium £3.15 |
| | | |
| | | small £2.70 |
| | | |
Ashley buys 1 adult ticket and 2 child tickets.
He buys 3 drinks with the money he has left.
The 3 drinks are all the same size.
The size of each drink is as big as possible.
What is the price of each drink?
You must show all your working.
£ .............................................
(Total for Question 16 is 4 marks)
__________________________________________________________________________
17. The line AB is drawn on a grid of centimetre squares.
(a) On the grid, draw a line that is parallel to the line AB.
[pic]
(1)
The diagram shows an incomplete net of a cube.
[pic]
(b) On the diagram, complete a net for the cube.
(1)
(Total for Question 17 is 2 marks)
___________________________________________________________________________
18. Work out
(i) 3 + 4 × 2
.............................................
(ii) (13 – 3) × 5
.............................................
(iii) 52 + 6
.............................................
(Total for Question 18 is 3 marks)
__________________________________________________________________________
19. Batteries are sold in packets and in boxes.
There are 4 batteries in a packet.
There are 20 batteries in a box.
Derek buys one box of batteries.
He takes t batteries out of the box.
(a) Write down an expression, in terms of t, for the number
of batteries left in the box.
.............................................
(1)
Sameena buys x packets of batteries and y boxes of batteries.
(b) Write down an expression, in terms of x and y, for the total number of
batteries Sameena buys.
.............................................
(2)
(Total for Question 19 is 3 marks)
___________________________________________________________________________
20. a = 2
b = 3
Work out the value of 6a + 5b
.............................................
(Total for Question 20 is 2 marks)
__________________________________________________________________________
21. (a) Simplify r + r + r + 2r
.............................................
(1)
(b) Simplify 7 × 2t
.............................................
(1)
(c) Simplify 6ab − 4ab
.............................................
(1)
(Total for Question 21 is 3 marks)
__________________________________________________________________________
22.
[pic]
Rectangle E is a reflection of rectangle D.
(a) On the grid, draw the mirror line.
Label your mirror line M.
(1)
A rectangle has
a length of 4 cm
a width of 3 cm.
(b) In the space below, make an accurate drawing of the rectangle.
(2)
(Total for Question 22 is 3 marks)
___________________________________________________________________________
23. Here is an equilateral triangle.
[pic]
The equilateral triangle has a perimeter of 24 cm.
Three of these equilateral triangles are used to make this trapezium.
[pic]
Work out the perimeter of the trapezium.
............................................. cm
(Total for Question 23 is 3 marks)
__________________________________________________________________________
24. Liz’s age is a square number.
Howard’s age is a cube number.
Howard is 2 years older than Liz.
How old are Liz and Howard?
Liz .............................................
Howard .............................................
(Total for Question 24 is 2 marks)
__________________________________________________________________________
25. Leon recorded the height, in cm, and the weight, in kg, of each of ten students.
The scatter graph shows information about his results.
[pic]
A different student has a height of 146 cm and a weight of 41 kg.
(a) Plot this information on the scatter graph.
(1)
(b) Describe the relationship between the height and the weight of these students.
......................................................................................................................................................
(1)
A student has a weight of 47.5 kg.
(c) Use the scatter graph to estimate the height of this student.
.............................................cm
(2)
(Total for Question 25 is 4 marks)
___________________________________________________________________________
*26. This shape is made from an equilateral triangle and 3 identical isosceles triangles.
[pic]
Work out the size of the angle marked y.
Give reasons for your answer.
(Total for Question 26 is 4 marks)
__________________________________________________________________________
27. (a) Solve x + x = 20
x = ..........................................
(1)
(b) Solve p – 4 = 9
p = ..........................................
(1)
(c) Solve 3n = 24
n = ..........................................
(1)
R = 7x + 4y
x = –1
y = 3
(d) Work out the value of R.
R = ..........................................
(2)
(Total for Question 27 is 5 marks)
___________________________________________________________________________
28. Bhavna drives 200 miles in 4 hours.
Work out her average speed.
............................................. mph
(Total for Question 28 is 2 marks)
__________________________________________________________________________
29. (a) On the grid, draw an enlargement of the rectangle with scale factor 2.
[pic]
(1)
(b) On the grid, rotate the triangle 90° clockwise about the point O.
[pic]
(2)
(Total for Question 29 is 3 marks)
___________________________________________________________________________
30. Andy is going to cover a wall with tiles.
[pic]
The wall is in the shape of a rectangle.
The wall is 3 m wide and 2.5 m high.
The tiles are rectangles 20 cm wide and 25 cm high.
The tiles are sold in boxes.
There are 20 tiles in each box.
Each box of tiles costs £8.50.
Work out the total cost of the boxes of tiles Andy needs to buy.
You must show all your working.
£ .............................................
(Total for Question 30 is 5 marks)
__________________________________________________________________________
*31. The nth term of sequence A is 3n – 2
The nth term of sequence B is 10 – 2n
Sally says there is only one number that is in both sequence A and sequence B.
Is Sally right?
You must explain your answer.
(Total for Question 31 is 2 marks)
__________________________________________________________________________
32. A shape is drawn on the grid.
[pic]
On the grid, show how this shape will tessellate.
You should draw at least 8 shapes.
(Total for Question 32 is 2 marks)
___________________________________________________________________________
33. Tom and Amy set the alarms on their phones to sound at 6.45 am.
Both alarms sound together at 6.45 a.m.
Tom’s alarm then sounds every 9 minutes.
Amy’s alarm then sounds every 12 minutes.
At what time will both alarms next sound together?
....................................................................
(Total for Question 33 is 3 marks)
__________________________________________________________________________
34. The diagram shows the positions of a lighthouse and a harbour on a map.
[pic]
A boat is on a bearing of
300° from the lighthouse
040° from the harbour.
On the diagram, mark with a cross (×) the position of the boat.
Label the boat B.
(Total for Question 34 is 3 marks)
___________________________________________________________________________
35. On the grid, draw the graph of y = [pic]x + 3 for values of x from –2 to 4.
[pic]
(Total for Question 35 is 3 marks)
TOTAL FOR PAPER IS 100 MARKS
-----------------------
Mock Paper – Spring 2016
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.