primary maths p5- igcse collection

Put these numbers in order fromleast to greatest:
523.087
507.832
78.325
587.23
A. 507.832 < 523.087 < 587.23 < 78.325
B. 78.325 < 507.832 < 523.087 < 587.23
C. 523.087 < 507.832 < 78.325 < 587.23
D. 78.325 < 507.832 < 587.23 < 523.087 Answer:B
Which of the following four decimal numbers is the third greatest?
56.987
569.87
59.081
596.118 Answer: 59.081
Convert 80½% to a decimal
0.8012
0.80½
0.805
0.85
Answer: 80½% = 80.5%
To convert from a percent to a decimal, divide by 100 (and remove the "%" sign).
The easiest way to divide by 100 is to move the decimal point 2 places to the left
So 80.5% = 0.805
Which of the following four decimal numbers is the second least?
96.814
914.68

98.614
916.108 Answer: 98.614
You have 36 eggs. How many dozen is that?
You have 132 eggs. How many dozen is that?
How many years is 144 months?
Use long division to calculate 9,255 ÷ 15
Use long division to calculate 8,442 ÷ 18
The temperature shown in degrees Fahrenheit (°F) drops by 35°F.
What is the approximate temperature then?

Answer: The Fahrenheit scale (°F) is the one on the right.
This shows a temperature of about 20°F
After the temperature drops by 35°F, it will then be about 15°F below zero or -15°F
(20 − 35 = -15)
The diagram shows a red triangle and its green image aftera resizing.
Which side in the green triangle is equal in length to side BC in the red triangle?
DE EF FD Impossible to tell.

Which triangle is not congruent to the other three?
(Assuming that the triangles are otherwise of equal size)
Answer: Triangles A, B and D all have exactly the same angles: 48°, 62° and 70°.
(Remember the angles of a triangle always add to 180°)
Triangle C has some different angles - 40°, 62° and 78°.
Triangle C, therefore, is not congruent to the other three.
(We had to assume that the other triangles are of equal size, if they are of different
sizes they would be similar but not congruent.)

In the above diagram, which one of the following angles is adjacent to ∠AOB?
A .∠AOC B. ∠BOC C. ∠COD D.∠COE
Answer: ∠AOB and ∠BOC have a common side BO, so ∠BOC is adjacent to ∠AOB
Sam started with 20 marbles and added 50 more every week until she had 220
altogether. How many weeks did that take?
A2 B5 C6 D4
Answer: Sam started with 20
After 1 week she had 70
After 2 weeks she had 120
So it took 4 weeks
If Sage started with 45 apples, and then added 25 apples every day for3 days, how
many apples did he end up with?
Here is how many apples Sage had:
Started with 45
After 1 Day: 70
After 2 Days: 95
After 3 Days: 120

What is the next number in this sequence?
120, 145, 170, ___
The sequence grows by 25 each time.
So the next number is 170 + 25 = 195
95, 120, 145, ___
The sequence grows by 25 each time.
So the next number is 145 + 25 = 170
160, 210, 260, ___
f you had 93 tomato plants, you gave a friend 10 plants, then you gave another four
friends 10 plants each, how many tomato plants would you have left?
You started with 93.
After you gave your first friend 10, you would have 83.
After giving another friend 10, you would have 73.
Remember PEMDAS/BODMAS, so it's the numbers inside the Parentheses/Brackets
that need to be calculated first.

If a is replaced by 1, then
10 − a = 10 − 1 = 9
⇒ 7(10 − a)÷3 = 7 × 9 = 63
Solve 2½x = 10
tart with: 2½x = 10
Divide both sides by 2½: 2½x/2½ = 10/2½
A little arithmetic (2½/2½ = 1 and 10/2½ = 10) becomes: 1x = 4
Which is just: x = 4
Solve 6x = 21
A
x = 2½
B
x = 3½
C
x = 4½
D
x = 15

Which of the four points has coordinates (5½, 1½)?
What are the Cartesian coordinates of the point D?
A
(4½, 1½)
B
(2½, 4½)
C
(1½, 5½)
D

(1½, 4½)
Which of the four points has coordinates (3½, 4½)?
A particle moves through the coordinates of the figure as follows:
During the first minute it moves from the origin to (1,0)
Then, it continues to follow the pattern shown in the figure, moving 1 space every
minute:

Which point will the particle reach afterexactly 30 minutes?
A
(0, 12)
B
(4, 12)
C
(6, 12)
D
(6, 14)
In the picture below the x coordinates of points A and B are indicated. What are the
x coordinates of points C and D if AB = 3BC, BC = 3CD ?
A
29 and 30
B

29 and 31
C
30 and 31
D
31 and 32
AB = 27 − 18 = 9
AB = 3BC ⇒ BC = 3 ⇒ The coordinate of C = 27 + 3 = 30
BC = 3CD ⇒ CD = 1 ⇒ The coordinate of D = 30 + 1 = 31
Rose has $15 and Sandra has $23.The mean of the money of Rose,Sandra and Tania
is $17.How many dollars does Tania have?
The mean is $17 and there are three girls (Rose, Sandra and Tania), so the total
amount of money must be 3 × $17 = $51
Rose and Sandra have altogether $15 + $23 = $38
Tania must have the rest = $51 − $38 = $13
Lydia took the following numbers of shots foreach of the nine holes at her local golf
course:
5, 4, 3, 6, 5, 4, 6, 7, 5
What was her mean number of shots per hole?
Add the numbers: 5 + 4 + 3 + 6 + 5 + 4 + 6 + 7 + 5 = 45
Divide by the number of holes = 9
45 ÷ 9 = 5
So her mean number of shots was 5
What is the mean of the numbers 5, 7, 11, 6, 4, 8, 15 and 12?
Add the numbers: 5 + 7 + 11 + 6 + 4 + 8 + 15 + 12 = 68
Divide by how many numbers (i.e. we added 8 numbers): 68 ÷ 8 = 8 R4
So 8 4/8 or 8 ½

The line graph shows how the population of a town increased between the years
2000 and 2010.If the population continued to rise at the same rate, what was the
population in 2011?
Follow the vertical line up from2011 until you meet the extended line.
Then follow the horizontal line across to read off the value on the population axis,
which is 65,000.
So the population in 2011 was 65,000.
Estimate this answer (exact calculationnot needed):
43 people are sharing $41.30
How much will each person get?
$41.30 is very close to $40 and 43 is very close to 40
$40 ÷ 40 = $1
So they eachget about $1

During the summer holidays, Mrs Jones earns extra money mowing lawns.
She mows 9 lawns a day and has 261 lawns to mow.
How long will it take her?
261 is close to 270 and
270 ÷ 9 = 30
So it takes her about 30 days.
Jazz bought a new phone for$319.
She will pay it off in 11 equal payments. How much is eachpayment?
$319 is close to $300 and 11 is close to 10
$300 ÷ 10 = $30
So each payment is about $30
The exact answer is 319 ÷ 11 = 29
It takes 200 blocks to build a staircase with 10 steps.
How many blocks will be needed for55 steps?

200 blocks are needed for10 steps
So 200 ÷ 10 = 20 blocks are needed for eachstep
55 is close to 50
So, the number of blocks is about 20 × 50 = 1,000
The exact answer is (200 ÷ 10) × 55 = 20 × 55 = 1,100
Exponents:
Write a × a × a × a × a × a × a × a in exponent form.
a8
If you cut out the net shown in the diagram, foldalong the dotted lines and join
edges together to make a solid, which one of the Platonic solids does it make?
A
An octahedron
B
A tetrahedron
C
An icosahedron
D
A dodecahedron

It has 12 pentagonal faces,so it makes an dodecahedron:
(When the edges are joined together, it will also have 20 vertices and 30 edges.)
Which one of the Platonic solids has:
• 3 squares meeting at each vertex
• 6 Faces
• 8 Vertices
• 12 Edges
A
A dodecahedron
B
An octahedron
C
A tetrahedron
D
A cube

This describes a cube:
The diagram shows a 'prime factorstacker'.
Start at the 60 in the top row.
The second row shows two factors of 60.
Continue writing in factors until you reach the bottom row which shows all the
prime factors of 60.
What number should replace the letter A?
12 = 2 × 6 and 6 = 2 × 3, so the letter A should be replaced with 6

Six cards are lying on the table in the order: 6, 2, 1, 4, 5, 3 as shown in the top row of
the picture. They need to be placed in the order shown in the bottom row. In each
move, any two cards may be switched. What is the least number of moves that need
to be made?
The 3 and the 6 need to swap places. That's one move:
The 5 is already in the correct place, but the 2, the 1 and the 4 need to be swapped
around. That takes two more moves:
Therefore three moves are needed altogether.

The diagram shows a 'multiplication stacker'.
Start in the bottomrow.
The numbers in the second row are found by multiplying together the two numbers
below.
Do the same for the other rows.
What number should replace the letter B?
135 = 9 × 15 and 7290 = 54 × 135, so the letter B should be replaced with 135
A train has four cars in four colors: red, green, white and yellow.
The red car is not the second nor the third.
The green car is behind the white car.
The yellow car is immediately behind the red car.
What is the order of the cars in that train?
red, yellow, white, green

Buildings on ColorStreet are numbered from 1 to 5.
Each building is coloredwith one of the following colors: purple, blue, yellow, red,
and green.
It is known that:
- The purple building is further right than the blue building.
- The red building is immediately to the left of the yellow building.
- The blue building is between the green building and the red building.
What is the colorof building 4?
The statement 'The red building is immediately to the left of the yellow building'
⇒ One of the following must be correct
The statement 'The blue building is between the green building and the red building'
⇒ One of the following must be correct
The statement 'The purple building is further right than the blue building'
⇒ The following must be correct
Therefore, building 4 is yellow.

Tomek, Romek, Andrew, and Michael said the followingabout a certain number:
Tomek: "This number is equal to 9"
Romek: "This number is prime."
Andrew: "This number is even."
Michael: "This number is equal to 15."
Only one statement given by either Romek or Tomek is true,
Only one statement given by either Andrew or Michael is true.
What number is it?
If the number is 2, then:
Tomek's statement was false, but Romek's statement was true (2 is prime)
Andrew's statement was true, but Michael's statement was false
Tomek's statement was false, but Romek's statement was true (3 is prime)
Andrew's statement was false, and Michael's statement was also false
Tomek's statement was true, but Romek's statement was false (9 is not prime)
Andrew's statement was false, and Michael's statement was also false
Tomek's statement was false, and Romek's statement was also false (15 is not prime)
Andrew's statement was false, but Michael's statement was true
2 is the only answer satisfying the condition that only one statement given either by
Romek or Tomek is true, as well as only one statement given by either Andrew or
Michael is true

The temperature shown in degrees Fahrenheit (°F) drops by 35°F.
What is the approximate temperature then?
The Fahrenheit scale (°F) is the one on the right.
After the temperature drops by 35°F, it will then be about 15°F below zero or -15°F
(20 − 35 = -15)
The temperature shown in degrees Fahrenheit (°F) is
about:

The temperature shown in degrees Fahrenheit (°F) drops
by 10°F.What is the approximate temperature then?
This shows a temperature of about 65°F.
After the temperature drops by 10°F, it will then be about
55°F.
The temperature shown in degrees Fahrenheit (°F) rises by
15°F.What is the approximate temperature then?
This shows a temperature of about 35°F.
After the temperature rises by 15°F, it will then be about
50°F.

Use a protractor to measure the size of the acute angle in this diagram:
∠AOD is about 61°
Which two of the following statements are true?
W. 56 is a factorof 7
X. 56 is a multiple of 7
Y. 66 is a multiple of 11
Z. 66 is a factorof 11
Multiples are what we get after multiplying the number by an integer (not a
fraction):
8 × 7 = 56, so 56 is a multiple of 7
6 × 11 = 66, so 66 is a multiple of 11
So, X and Y are true.
What is the value of [(-5) × (-2)]2
?
What is the largest 7-digit number that you can make using these cards?
A 9,784,123 B 9,784,321 C 9,874,321 D 9,874,312
The answer is 9,874,321 because 9 > 8 > 7 > 4 > 3 > 2 > 1

n eachof the little squares Karolina places one of the digits: 1, 2, 3, 4. She is trying to
make sure that that each row and eachcolumn has each of the numbers 1,2,3 and 4.
Here is how farshe has got:
What number should she put in the square marked with an x?
x can't be 1 or 2, as they are already in that row.
Also the blank space in the second column of the top row should have a 4 (since 1, 2
and 3 already appear in that column)
So x must be 3
6,502,113
5,387,529
4,270,316
7,561,279
Which of the four numbers has the smallest digit in the Ten-Thousands place?
The digits in the Ten-Thousands place are 0, 8, 7 and 6 respectively and 0 is the
smallest.So 6,502,113 has the smallest digit in the Ten-Thousands place.
75 out of 300 bananas were found to be overripe, what percent was that?

George won 18 out of 25 of his tennis matches. What percent was that?
18 out of 30 students in a class walk to school. What percent is that?
John spends 6 hours a day studying. What percent of the day is that?
Two different numbers are chosen from{1, 2, 3, 5} and added together.
What is the set of possible outcomes?
There are six possible addition sums:
1 + 2 = 3
1 + 3 = 4
1 + 5 = 6
2 + 3 = 5
2 + 5 = 7
3 + 5 = 8
So the set of possible outcomes = {3, 4, 5, 6, 7, 8}

Isabel spun the spinner eighty times and
obtained 12 fives.
What fractionof her spins were fives?
A letter is chosen at random from the word PARALLELOGRAM.
What is the set of possible outcomes?
Note that letters that occurmore than once are only listed once.
A {A, E, G, L, M, O, P, R}
B {A, A, E, G, L, L, M, O, P, R, R}
C {A, A, A, E, G, L, L, L, M, O, P, R, R}
D {P, A, R, A, L, L, E, L, O, G, R, A, M}

Expressed as a fraction, what is the ratio of
balls that are not yellow to balls that are not
blue?

There are 12 drinks altogether.
Some are served in large glasses and some are served in small glasses.
Some contain orange juice and some contain lime juice:
Expressed as a fraction in its simplest form, what is the ratio of orange drinks to all
drinks?

What is the ratio of orange and
green lollipops to red and blue lollipops?
There are 6 orange lollipops, 3 green
lollipops, 7 red lollipops and 8 blue
lollipops, so the ratio of orange and green
lollipops to red and blue lollipops is (6 +
3) : (7 + 8) = 9 : 15
Simplify:
9 : 15 = 3 : 5
How many minutes is 23 hours and 50 minutes?
1 hour = 60 minutes, so
23 hours = 23 × 60 minutes = 1380 minutes
So, 23 hours and 50 minutes = 1380 minutes + 50 minutes = 1430 minutes.

How much liquid is in the cylinder?
The 10 milliliter divisions are divided into 5 equal parts
⇒ Eachsmaller division is worth 2 milliliters.
So, the amount of liquid is 70 ml

The diagram shows a container in the shape of
a rectangular prism, partly filled with a yellow
liquid.
How many fl oz. of liquid are there in the
container?
Use the conversion:
1 cubic inch = 0.5541 fluid ounces.
and give your answer correct to the nearest
0.1 fl oz.
The liquid itself occupies the volume of a
rectangular prism of Length 3 in., Width 5 in.
and Height 2.5 in.
The formula for the volume of a rectangular
prism is
Volume = Length × Width × Height
Therefore, the Volume of liquid = 3 in. × 5 in. × 2.5 in. = 37.5 in.3
Convert to fluid ounces:
0.5541 fl oz. = 1 in.3
⇒ 37.5 in.3
= 37.5 × 0.5541 fl oz. = 20.77875 fl oz.
Therefore, correct to the nearest 0.1 fl oz.,there are 20.8 fl oz. of liquid in the
container.

primary maths p5- igcse collection

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