Question 1
Write down the value of the 7 in the number 1074
(1)
Write down the value of the 7 in the number 1074
(1)
Write 15% as a decimal.
(1)
The pictogram shows information about the number of pictures sold in an art shop in each of January, February and March.
Write down the number of pictures sold in January.
(1)
12 pictures were sold in April.
Show this information on the pictogram.
(1)
What was the total number of pictures sold in these four months?
(2)
Prasha has five blocks of wood.
The total weight of all five blocks of wood is 3 kilograms. 4 of the blocks of wood each have a weight of 650 grams.
Work out the weight, in grams, of the other block of wood.
(3)
Plot the point with coordinates (3, 2) Label this point A.
(1)
Write down the coordinates of the midpoint of BC.
(1)
Mason throws a coin 3 times. The outcome of each throw is either Heads or Tails.
List all the possible outcomes of the 3 throws.
(2)
Rehan is on holiday in the USA.
He has $200 to spend on clothes.
Rehan buys 1 pair of trainers costing $60 3 T-shirts costing $25 each.
He also wants to buy a jacket costing $80
Has Rehan got enough money to buy the jacket? You must show how you get your answer.
(3)
The trainers cost $60 The exchange rate is $1 = £0.749
Rehan says, “The trainers cost less than £40”
Rehan is wrong.
Using a suitable approximation, show working to explain why.
(2)
120 people were at a hockey match.
Each person was asked if they wanted to stand or to sit to watch the match.
75 of the people were female 29 of the males wanted to stand 30 of the people wanted to sit
Use this information to complete the frequency tree.
(3)
One of the 120 people is chosen at random.
Write down the probability that this person is a male who wanted to stand.
(1)
Steve drove from his home to his friend’s house. He stayed at his friend’s house and then drove home.
Here is Steve’s travel graph.
For how many minutes did Steve stay at his friend’s house?
(1)
What was Steve’s average speed on his journey home?
(2)
The pie charts show information about the favourite animal of each student at school A and of each student at school B.
There are 480 students at school A. There are 760 students at school B.
Henry says,
“The same number of students at each school have tigers as their favourite animal.”
Is Henry correct? You must show how you get your answer.
(4)
Here is a number line.
Write down the inequality shown on the number line.
(2)
Find the Lowest Common Multiple (LCM) of 108 and 120
(3)
There are 60 people in a choir. Half of the people in the choir are women.
The number of women in the choir is 3 times the number of men in the choir. The rest of the people in the choir are children.
the number of children in the choir: the number of men in the choir = n: 1
Work out the value of n. You must show how you get your answer.
(4)
Use a ruler and compasses to construct the line from the point P perpendicular to the line CD. You must show all construction lines.
(2)
the size of angle DCB: the size of angle ACD = 2: 1
Work out the size of angle BDC.
(4)
4 red bricks have a mean weight of 5 kg. 5 blue bricks have a mean weight of 9 kg. 1 green brick has a weight of 6 kg.
Donna says,
“The mean weight of the 10 bricks is less than 7 kg.”
Is Donna correct? You must show how you get your answer.
(3)
Simplify (p2)5
(1)
Simplify 12x7y3 ÷ 6x3y
(2)
The accurate scale drawing shows the positions of port P and a lighthouse L.
Aleena sails her boat from port P on a bearing of 070°
the distance, in km, of port Q from lighthouse L,
(1)
the bearing of port Q from lighthouse L.
(4)
The diagram shows triangle AOB.
Angle AOB is not an obtuse angle.
Find the greatest value of x. You must show all your working.
(3)
ABC and PQR are similar right-angled triangles.
angle ABC = angle PQR
Triangle EGH is congruent to triangle KGF.
HK = 10 cm. HG = 4 cm.
Work out the length of EF.
(2)
The paper as printed
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