Download AQA GCSE F1 Practice Paper 1a

AQA
Foundation
Practice Paper 1a
Q1.
A plane travels at a speed of 213 miles per hour.
(a) Work out an estimate for the number of seconds the plane takes to travel 1 mile.
........................................................... seconds
(3)
(b) Is your answer to part (a) an underestimate or an overestimate?
Give a reason for your answer.
.............................................................................................................................................
.............................................................................................................................................
(1)
(Total for question = 4 marks)
Q2.
Emma has 45 rabbits.
30 of the rabbits are male.
8 of the female rabbits have short hair.
12 of the rabbits with long hair are male.
(a) Use the information to complete the two-way table.
(3)
One of Emma's rabbits is chosen at random.
(b) Write down the probability that this rabbit is a female with short hair.
...........................................................
(1)
(Total for question = 4 marks)
Q3.
The numbers 1, 2, 4, 7, 8, 9, 10, 11 and 12 are put into a Venn diagram.
The number 3 is in set Q but not in set P.
The number 6 is in both set P and set Q.
(a) Complete the Venn diagram.
(2)
A student chooses at random a number in the completed Venn diagram.
(b) Write down the probability that this number is not in Set Q.
...........................................................
(2)
(Total for question = 4 marks)
Q4.
Here are some patterns made from sticks.
(a) In the space below, draw Pattern number 4
(1)
(b) Complete the table.
(1)
(c) How many sticks make Pattern number 15?
...........................................................
(1)
Maria wants to work out how many sticks make Pattern number 50
(d) Write down a method she can use.
.............................................................................................................................................
.............................................................................................................................................
.............................................................................................................................................
(1)
(Total for Question is 4 marks)
Q5.
On the grid, draw the graph of y = 2x – 3 for values of x from –2 to 2
(Total for Question is 3 marks)
Q6.
* The normal price of a denim shirt at a shop is £9.60
On Special Offer Day, there is
off the normal price.
Billy has £13
Has he enough money to buy two denim shirts on Special Offer Day?
You must show all your working.
(Total for Question is 4 marks)
Q7.
*
Triangle ABC is a right-angled triangle.
ADB is a straight line.
DA = DC
Angle BCD = 20°
Work out the size of the angle marked x.
You must give reasons for each stage of your working.
(Total for Question is 4 marks)
Q8.
David is going to buy a cooker.
The cooker has a price of £320
David pays a deposit of 15% of the price of the cooker.
How much money does David pay as a deposit?
£ ...........................................................
(Total for Question is 2 marks)
Q9.
(a) Work out 50% of 86
..............................................................................................................................................
(1)
(b) Work out 3 + 5 × 2
..............................................................................................................................................
(1)
(c) Write down an estimate for
..............................................................................................................................................
(1)
(Total for Question is 3 marks)
Q10.
There are only 7 blue pens, 4 green pens and 6 red pens in a box.
One pen is taken at random from the box.
Write down the probability that this pen is blue.
...........................................................
(Total for question = 2 marks)
Q11.
(a) Work out
...........................................................
(2)
(b) Work out
Give your answer as a fraction in its simplest form.
...........................................................
(2)
(Total for question = 4 marks)
Q12.
Ruth is 1.23 m tall.
Lee is 6 cm shorter than Ruth.
How tall is Lee?
...........................................................
(Total for question = 2 marks)
Q13.
Here are some prices in a café.
Jack orders
2 teas
1 coffee
1 toast
1 bacon sandwich
Jack only has a £10 note.
Does he have enough money to pay the bill?
You must show how you get your answer.
(Total for question = 3 marks)
Q14.
The diagram shows a circle and two straight lines.
The straight line inside the circle goes through the centre of the circle.
(a) Write down the mathematical name of this straight line.
...........................................................
(1)
The straight line outside the circle touches the circle at one point.
(b) Write down the mathematical name of this straight line.
...........................................................
(1)
Here is a circle centre O.
(c) In the circle, draw a sector of the circle.
(1)
(Total for question = 3 marks)
Q15.
(a) Solve t + t + t = 12
t = ...........................................................
(1)
(b) Solve x – 2 = 6
x = ...........................................................
(1)
(c) Solve 6w + 2 = 20
w = ...........................................................
(2)
(Total for question = 4 marks)
Q16.
The perimeter of a square has the same length as the perimeter of this triangle.
All measurements are in centimetres.
Find an expression, in terms of x, for the length of a side of the square.
Give your answer in its simplest form.
...........................................................
(Total for question = 3 marks)
Q17.
(a) Work out the value of
5×2+8
..............................................................................................................................................
(1)
(b) Work out the value of
(13 – 6) × 2
..............................................................................................................................................
(1)
(Total for Question is 2 marks)
Q18.
Ed has 4 cards.
There is a number on each card.
The mean of the 4 numbers on Ed's cards is 10
Work out the number on the 4th card.
......................
(Total for Question is 3 marks)
Q19.
Write these numbers in order of size.
Start with the smallest number.
2.5 × 102
0.0025
2.5 × 10−2
2500
.............................................................................................................................................
(Total for question = 2 marks)
Q20.
Penelope is going to cook a chicken.
She uses this rule to find the cooking time.
The chicken has a weight of 2 kg.
Penelope wants to finish cooking the chicken at 12 30 pm.
What time should Penelope start cooking the chicken?
...........................................................
(Total for question = 4 marks)
Q21.
There are 28 red pens and 84 black pens in a bag.
Write down the ratio of the number of red pens to the number of black pens.
Give your ratio in its simplest form.
...........................................................
(Total for question is 2 marks)
Q22.
(a) Simplify (p3)2
...........................................................
(1)
(b) Simplify t8 ÷ t3
...........................................................
(1)
23 × 2n = 29
(c) Work out the value of n.
...........................................................
(1)
(Total for Question is 4 marks)
Q23.
Robin buys a watch for £80
He sells the watch for £56
Work out his percentage loss.
........................................................... %
(Total for question = 3 marks)
Q24.
Only blue vans and white vans are made in a factory.
The ratio of the number of blue vans to the number of white vans is 4 : 3
(a) Write down the fraction of vans that are blue.
...........................................................
(1)
For blue vans,
the number of small vans : the number of large vans = 3 : 5
(b) Work out the fraction of the number of vans made in the factory that are blue and large.
...........................................................
(3)
(Total for question = 4 marks)
Q25.
Ali and Beth divide £280 in the ratio 2 : 5
Work out how much each person gets.
Ali
£ ...........................................................
Beth
£ ...........................................................
(Total for question = 2 marks)
Q26.
Describe the single transformation that maps shape A onto shape B.
.............................................................................................................................................
.............................................................................................................................................
(Total for question = 2 marks)
Mark Scheme
Q1.
Q2.
Q3.
Q4.
Q5.
Q6.
Q7.
Q8.
Q9.
a) 43
b) 13
c) 7.5 – 7.9
Q10.
(A1)
(A1)
(A1)
Q11.
Q12.
Q13.
Q14.
Q15.
Q16.
Q17.
Q18.
Q19.
Q20.
Q21.
Q22.
Q23.
Q24.
Q25.
Q26.