Transcript 2003 Paper 3 Practice

7² + __ = 4³
15
What is the difference between 8 and -38?
8 to zero
Then
8
0
46
Zero to -38
-38
The temperature changes from -19°C to 6°C.
Which of the following is correct?
The temperature has fallen by 13°C.
The temperature has risen by 13°C.
The temperature has fallen by 24°C.
The temperature has risen by 25°C.
The temperature has risen by 24°C.
Complete the following function machines
5
x5
x+4
2
29
?
Complete the following function machines
?5
x4
x- 28
12
Look at the function machine below.
START
x2
+9
ANSWER
What is the answer when 26 goes into the
machine?
61
Look at the function machine below.
START
x3
+7
ANSWER
What is the starting number when 25 comes
out of the machine?
6
Ryan could buy a jumper in his local shop for £20 or he
can get it from America at $35. What is the difference
in price if $1 equals 59p?
$1 = 59p
£20.65
$35 = _______
65p
There are 64 pieces of fruit in a basket. One eighth are plums,
half are apples and the rest are pears. How many pears are
there?
Plums 8
Apples 32
Pears 24
Fill in the missing sections below. (Start with the top row and
work down in order)
A square number + A prime number = 36
25
+
11
A square number + A cube number = 113
49
+
64
Find three different ways to complete the following
A prime number + A prime number = 34
3 + 31
5 + 29
11 + 23
625
125
25
5
1
One fifth
or
0.2
___
Complete the following about an isosceles triangle.
equal sides.
An isosceles triangle has two _____
angles are the same.
The two bottom _____
line __
of _________.
symmetry
There is one ____
Give each pair of lines that are perpendicular to each other.
H
G
____
and ____
A
B
____
and ____
A
E
____
and ____
Harry collected three stickers on Monday, two on Tuesday,
nine on Wednesday, four on Thursday and a dozen on Friday.
What is the average number of stickers he collected per day?
30 ÷ 5
6
Harry collected three stickers on Monday, two on Tuesday,
nine on Wednesday, four on Thursday and a dozen on Friday.
What is the range of stickers collected?
12 - 2
10
Jamie started his homework at seventeen minutes
past three and John started his at 17:09. What is
the difference between the times?
15:17 to 17:09
1 hour 52 minutes
Rachel bought a pair of Jeans in the sale. The price of the
jeans, before the sale was £69. This price was reduced by one
third. How much did she get off the jeans?
Find
1
3
of £69
£23
Ten boys bought a bag of 370 sweets and gave 2
sweets away to each pupil in a class of 30. They
divided the rest amongst themselves. How many
sweets did two of the boys have altogether?
370 – (30 x 2) = 310
310 ÷ 10 = 31
31 x 2 boys
62 sweets
In a small, rural school, packed lunches are hugely
popular amongst the P5 pupils. ¾ of a class of 28
pupils take packed lunch. How many pupils do not take
a packed lunch?
Find ¼ of 28
7
2.7 – 1.993
2.700 – 1.993
0.707
When two numbers are added together the
32
answer is 64 and the difference between the
3
two numbers is 6. What are the two numbers?
(Split / Split)
29 and 35
Rob faces Gemma and turns two right angles clockwise. Who is
he facing now?
Ned
Rob faces Rachel and turns to face Ben. Which two ways could
he have turned?
Clockwise 135° or Anticlockwise 225°
Rob faces Sue and turns 225 degrees anticlockwise. Who is he
facing now?
Ned
Rob faces Ben and turns to face Sue. How many degrees
clockwise has he turned?
315°
Which of the calculations below will give an answer of 68?
55 + 10 – 1 + 9 – 8 + 2
33 x 2 + 5 – 2
30 x 3 – 23 + 1
68 + 7 – 8
34²
How many hours are there in 28,800 seconds?
8 hours
How many metres are there in 7,300 millimetres?
7.3 metres
What is the total of the following?
750ml
530ml
225ml
2.507 L
_______
1002ml
Which year was the total number of children under 15 years
of age the lowest?
2001
How many more 5-9 year olds were there in 1971 than 0-4 year
olds in 2001?
45,000
What is the difference between the total of 5 to 14 year olds
in 1961 and the total of 5 to 14 year olds in 1991?
264,000 – 260,000 =
4,000
What is 13 out of 52 written as a percentage?
13
52
1
4
25%
7 – 15 = ___
7 – 15 = -8
- 20 – 11 = ___
-20 – 11 = -31
What is the value of z?
17 + z = 20
Z = 3
What is the value of z?
4 x z = 20
Z = 5
What is the value of z?
23 - z = 14
Z = 9
What is the value of z?
z – 17 = 14
Z = 31
If z – 9 = 14, find the answer of z x 3
Using the first sum Z = 23
23 x 3
Answer = 69
If 8 + z = 20, find the answer of z x 4
Using the first sum Z = 12
12 x 4
Answer = 48
If 4 x z = 400, find the answer of z x 3.9
Using the first sum Z = 100
100 x 3.9
Answer = 390
Bags of sugar costs £1.50 per kilogram. What is the cost of
200g of Sugar?
1 kg = £1.50
1000g = 150p
30p
200g = _____
Bags of sand costs £0.40 per kilogram.
What is the cost of 3.75Kg of sand?
1 kg = £0.40
3 kg = £1.20
¾ kg = £0.30
£1.50
3¾ kg = _____
If milk costs £1.13 per litre, how will I find the cost of 3.5
litres?
1 L = £1.13
3.5 L = _____
Multiply by 3.5
If a car travels 3km in 1 minute, how do I find 6.4 minutes?
1 minute = 3 km
6.4 minutes = _____
Multiply by 6.4
1cm
=
4 km
9•25
cm = 37 km
_____
(37•0 ÷ 4)
Write the following in the 24 hour clock
12:31 pm
12:31
How long is it from 6:42pm to 8:09pm?
18 min
1 hour
9 min
1 h 27 min
19:37+ 7 hours 43 minutes.
19:37
+ 7 hours + 23 minutes + 20 minutes
03:20
or
3:20 am
5:27am + 3 hours 53 minutes.
5:27 am
+ 4 hours – 7 minutes
9:20 am
There is 4 out of 20 chance of me picking a yellow ball out of a
box. Circle the correct answer or answers?
1
3
20
4
2
10
1
5
1
4
Any equivalent fraction of one fifth
In a group of pupils 35% play football, one quarter play netball
and the rest play hockey. The number of pupils that play
netball is 200. What fraction of pupils play hockey?
Football 35%
Netball 25%
Hockey 40%
___
2
5
806 x 113
=
403
___ x 226
To cancel out (keep the sum equal)
split one number
and
double one number
201 ÷ 7
=
603 ÷ 21
___
To cancel out (keep the sum equal)
Multiply BOTH numbers by 3
3162 - 372
=
3062
___ - 272
To cancel out (keep the sum equal)
Take 100 off
and
Take 100 off the first number
1409 + 372
=
1509
___ + 272
To cancel out (keep the sum equal)
Take 100 off
and
Add 100 to the first number
124 x 646
=
248
___ x 323
To cancel out (keep the sum equal)
split one number
and
double one number
426 ÷ 22 =
213 ÷ 11
___
To cancel out (keep the sum equal)
split BOTH numbers
213 x 802
=
426
___ x 401
To cancel out (keep the sum equal)
split one number
and
double one number
2630 - 971
=
2330
___ - 671
To cancel out (keep the sum equal)
Take 300 off
and
Take 300 off the first number
314 ÷ 15 =
628 ÷ 30
___
To cancel out (keep the sum equal)
Double BOTH numbers
424 x 243
=
1209 + 972
=
___ x 486
___ + 272
We do the opposite (to cancel)
426 ÷ 14 =
1409 - 372
=
___ ÷ 7
___ - 272
We do the same (to cancel)
What is the missing angle in a quadrilateral if
three of the angles are 100 °, 100° and a
right angle?
360 ° - 100 ° - 100 ° - 90 ° =
70°
What is the missing angle in a triangle if two
of the angles are 90° and 20°?
180° - 90° - 20 ° =
70°
What is the first multiple of 2 and 9?
18
What is the first multiple of 3 and 9?
9
What is the first multiple of 2, 4 and 12?
12
What is the first multiple of 2, 4 and 7?
28
What is 15 out of 45 written as a percentage?
15
45
1
3
33.33% or
33 3 %
1
8.8
8.4
8.1
7.8
7.9
__
Which of the following fraction is nearest to 0.5?
3
4
21
24
11
12
2
3
18
24
21
24
22
24
16
24
Who is the oldest from this list
29 January 2000 (Matt)
25 November 1999 (Jay)
19 March 1999 (Ray)
7 September 2001 (Lucy)
1 March 2000 (Olivia)
The earliest date
Ray
A birthday cake is cut into 20 slices and each person receives
two fifths of the cake. How many slices are left?
Each slice =
1
20
Each
person
gets
12 slices are left
2
(8)
5
(20)
Complete the following for this isosceles right angled triangle.
longest
The red line is the _____________.