Year 5 Speed Test
Term 3 Week 5
Try to do these 40 questions as fast as you can.
Colour in the time that was closest to your finishing time. Each week try to get a little faster!
Time
1 min
Score
2 min
3 min
4 min
5 min
6 min
7 min
/ 40
Name this figure:
Parallelogram
6/
1 26/121
25 + 23 = 48
324  9 = 36
3 x 19 = 57
3 x 23 = 69
56  8 = 7
41 x 7 = 287
4 x 39 = 156
196  14 = 14
Convert 20.56 to
am/pm.
8.56 pm
74 - 36 = 38
362 - 19 = 343
What is the HCF of 24
and 36?
12
18 + 133 = 151
84 - 16 = 68
What is the next
number in the series?
8, 18, 38, 78, ?
158
11
+ 81/121 =
92 – 46 = 46
53 x 7 = 371
153  3 = 51
112  2 = 56
Convert 1/8 to
percentages.
12.5%
65 +19 = 84
36  6 = 6
1168 cm = ………m
11.68m
4 x 15 = 60
15 + 13 = 28
36
244  4 = 61
657  3 = 219
666 ÷ 3 = 222
42 - 30 = 12
I am a number.
Multiply me by 3,
subtract 10 and then
divide by 14 and you
get 7. What number
am I?
What is the perimeter
of a square with sides
6cm?
24cm
How many seconds is
in one day?
86400s
62 – 9 = 53
89 x 2 = 178
25 x 25 = 625
63  3 = 21
0x1=0
76 – 14 = 62
Year 5 Maths
Term 3 Week 5: Homework
1.
Danny ate an average of 5 chocolates per day for 5 days. The 6th day was his birthday
and he ate 17 chocolates. How many chocolates did he eat on average over the 6 days?
A
B
C
D
2.
91 – (7 + 17) ÷ 3 + 2 =
A
B
C
D
3.
49
43
41
40
Which of these could not be a plane figure?
A
B
C
D
7.
North East
North West
South West
South East
What is the sum of the first three prime numbers greater than 10?
A
B
C
D
6.
even
odd
3
none of the above
James is watching the sunrise. He turns so that the sun is at his back, and then turns 45°
to his right. Which direction is he facing?
A
B
C
D
5.
85
87
36
83
Take a number, add 6, multiply by 3 and divide by 2. If there are no fractions in the
answer, then the original number was:
A
B
C
D
4.
4½
6
7
5
4 edges, 4 vertices
5 edges, 4 vertices
3 edges, 3 vertices
21 edges, 21 vertices
How many numbers are there between 1 and 100 whose digits sum to 5?
A
B
C
D
5
6
7
10
8.
The total of four consecutive odd numbers is 64. What is the smallest number?
A
B
C
D
9.
(87 + 4) ÷ 7 – (21 – 15) =
A
B
C
D
10.
24
28
30
32
Which is true of a scalene triangle?
A
B
C
D
14.
is twice that of the square.
is 3 times that of the square.
is the same as that of the square.
cannot be worked out from the information.
A group of birds sits on a fence. Half of them and one more fly away. Then, half of
those that are left and one more fly away. Now, there are 6 birds. How many were there
originally?
A
B
C
D
13.
10
11
12
13
A square and a rectangle have the same width. The area of the rectangle is 3 times that of
the square. Therefore, the length of the rectangle:
A
B
C
D
12.
7
18
- 24
12
How many times between 6am and 6pm do the hands of a clock point in exactly the same
direction?
A
B
C
D
11.
13
15
16
12
It has all sides equal.
It always contains a right angle.
Its angles add to 180°.
It has at least one axis of symmetry.
A cubic container of side 12cm is filled to ¾ full with water. A quantity of ½ L of water
is then removed from the container. What is the volume of water in it now?
A
B
C
D
0.6 L
0.796 L
0.229 L
0.950 L
15.
A “word” in this question consists of two consonants with one vowel between them.
How many different “words” can be formed from the letters in CHAIR?
A
B
C
D
16.
How many square metres are there in 5.6ha?
A
B
C
D
17.
60%
58.8%
59.1%
48.8%
A watch loses 6 minutes per hour. If it starts at the correct time at 10pm, how many
times does it show the correct time in the next 48 hours?
A
B
C
D
21.
15
16
18
20
Write 20 out of 34 as a percentage, to one decimal place.
A
B
C
D
20.
13m
14m
15m
16m
Jimmy and Aaron read 25 books together over a year. Jimmy read 36% of the books.
How many books did Aaron read?
A
B
C
D
19.
5600m²
56 000m²
560 000m²
5 600 000 m²
A square has an area of 196m². What is its side length?
A
B
C
D
18.
6
8
12
24
0
2
4
8
How many right-angled triangles with height 1.5cm and length 3cm could fit into a
square of side 21cm?
A
B
C
D
49
98
196
14
22.
Martin cannot put away his Smarties. When he puts them in groups of 7, there is 1 left
over. When he puts them in groups of 10, there are 3 left over. If there are fewer than 50
Smarties, how many does he need to eat before he can store them in groups of 9 with
none left over?
A
B
C
D
23.
Which set of decimals is in ascending order?
A
B
C
D
24.
0.405kg
4.05kg
405kg
40.5g
In a certain year, the 1st of January is a Tuesday and the 29th of March is a Friday. How
many days are there in the year?
A
B
C
D
28.
3
6
12
1
4.5% of 9kg is:
A
B
C
D
27.
4
5
7
8
How many axes of symmetry does a regular hexagon have?
A
B
C
D
26.
5.066, 5.660, 56.006, 65.606
1.808, 18.08, 1.88, 18.0
95.70, 95.07, 95.703, 950.3
102.57, 120.57, 210.57, 210.057
A take-away restaurant is offering free pizzas. If you buy two pizzas, you get a third one
free. If pizzas cost $8.50 each, how many will you get for $42.50?
A
B
C
D
25.
7
4
0
5
356
366
365
357
Two cars, a blue one and a red one, are driving towards each other from opposite ends of
a 180km road. The blue car drives at 60km/h and the red car drives at 75km/h. How far
from the blue car’s starting point do they meet?
A
B
C
D
80km
100km
60km
120km
29.
Which of these figures does not have at least three triangular faces?
A
B
C
D
30.
Lemonade is mixed 1 part lemonade concentrate to 5 parts water. What volume of
mixture is made from 50mL of lemonade concentrate?
A
B
C
D
31.
72cm
84cm
96cm
There is not enough information.
Ben thinks of a number. He adds 17, multiplies by 23 and divides by 2. The answer is
368. What was the original number?
A
B
C
D
35.
0.533
1.9
1.875
1.8745
If the side length of a regular heptagon is 12cm, what is its perimeter?
A
B
C
D
34.
7.5mm
75cm
7.38cm
7.5cm
Enough champagne has been provided at a party for 8 people. It turns out that 15 people
are coming. How many times the original champagne provisions are needed so that the
amount per person does not change?
A
B
C
D
33.
250mL
300mL
50mL
350mL
A sheet of paper is 0.03mm thick. Each book has 350 pages and each side of the cover is
1mm thick. How high is a stack of 6 books?
A
B
C
D
32.
tetrahedron
triangular prism
square pyramid
pentagonal pyramid
25
3904
1
15
How many edges does a cone have?
A
B
C
D
0
1
2
4
36.
Jimmy is 12 and his sister is 17. When Jimmy was half his sister’s age, how old was his
sister?
A
B
C
D
37.
What is the difference in hours and minutes between 4:51pm and 11:23am?
A
B
C
D
38.
$60
$120
$50
$100
If the day before yesterday was Sunday, what day is it 9 days after tomorrow?
A
B
C
D
40.
18h 28min
18h 32min
6h 32min
19h 28min
$370 is divided between Adam, Catherine and Dorothy so that Catherine gets twice as
much as Dorothy and Adam gets $70 more than Catherine. How much does Dorothy
get?
A
B
C
D
39.
10
15
12
8
Sunday
Wednesday
Tuesday
Friday
How many times does the hour hand of a clock point to six in the month of January?
A
B
C
D
60
62
720
768
SCROLL DOWN FOR ANSWERS AND EXPLANATIONS FOR
WEEK 3 MIXED PROBLEMS

TEACHERS
Year 5 Mixed Maths Questions
Term 3 Week 3: Homework
1.
My Approxo brand watch gains 1½ minutes every hour. I set it to the right time at 6:00 a.m.
What time does my watch say when the radio news begins at exactly 12:00 noon that day?
6:00 – 12:00 = 6 hours.
The watch gains 1½ mins every hour, so in 6 hours it gains 9 mins more than the real time.
Answer: _______________12:09 p.m.
2.
My Chronoguess brand clock loses 1½ minutes every hour. I set it to the right time at 6:00
a.m. What time does the clock say when the radio news begins at exactly 12:00 noon that
day?
6:00 – 12:00 = 6 hours.
The clock loses 1½ mins every hour, so in 6 hours it loses 9 mins less than the real time.
Answer: _______________11:51 a.m.
3.
Following on … What time is it really when my Approxo watch says it's 2:30 a.m. the next
morning? (Remember, I set my watch correctly at 6:00 a.m. the day before.)
My watch always shows 61½ mins have passed when only 60 mins have really passed.
So the number of mins my watch shows passing  61.5 x 60 will show the real number of mins that have passed.
0600 – 0230 (next day) = 20½ hours = 1230 mins
1230  61.5 x 60 = 1230  615 x 600
1230/ x 600/
1
615 = 1200 mins really passed
So 20 hours have really passed and it is really 0200 only.
4.
You can also just do it in hours:
20½ hr  615 x 600
= 41/2 x 600/615
= 41/2 x 120/123
= ½ x 120/3
60
=Answer:
/3 = 20_______________2:00
hrs have really passed. a.m
Following on … I set both my Chronoguess clock and my Approxo watch to the right time at
6:00 a.m. What time does my Chronoguess clock say when my Approxo watch tells me it's
6:00 p.m the same day? (Give your answer to the nearest minute.)
i) My watch shows 61.5 mins passing when only 60 mins really pass, so we must reduce the time it shows (12 hrs
or 720 mins) by using the same method as in question 3: mins shown by watch  615 x 600
ii) Now with the real number of mins passed, we must reduce it again because the clock runs slow, so when 60
mins really pass, it only shows 58.5 mins passing. So we use real mins passed  60 x 58.5 (or real mins  600 x
585).
iii) We can do both (i) and (ii) in one go like this:
720 mins passed by watch x 600/615 x 585/600 = 684.9 mins have passed on the clock
684.9 mins = 11hr 25 mins (to nearest minute)
Answer: _______________ 5:25 p.m
5. If two lettuces weigh the same as three pears and four pears weigh the same as five apples,
how many apples weigh the same as 64 lettuces?
Given: 2L = 3P ………… Therefore 8L = 12P
Given: 4P = 5A ………….Therefore 12P = 15A
Since 8L = 12P and 12P also = 15A, therefore 8L = 15A, and if we multiply all by 8: 64L = 120A
Answer: _____________120
6. What is the weight of water in a full cubic tank measuring 1m along every edge? (Hint: 1 litre
of water weighs 1kg.)
Volume = 100 x 100 x 100cm = 1000 000cm3
1000 cm3 = 1 litre
1000L = 1000kg = 1 t
Answer:______________ 1 tonne
7. How many degrees is the interior angle of a regular decagon?
A quick way is to find the exterior angle shown (360  10 = 360), then subtract it from 1800
Answer: _____________144 degrees
8. Multiply 71/3 x 11/11
Convert everything to improper fractions: 22/3 x 12/11
Answer:______________8
9. Arrange these fractions in descending order of size:
7
5
2
/10 3/4
/8
/3
Use a common denominator, so they can be compared accurately.
Answer: ____________3/4
7
/10
2
/3
5
/8
10. I am making a card for my mother in Art, and its cover will consist of 4 rectangular segments,
as shown. If I have 4 colours of paint, how many different colour combinations are possible if
no two adjacent segments can be the same colour? (I can use colours more than once and not
all colours need to be used.)
The first segment can have any of the 4 colours. After that, each can
have any of the other colours, but NOT the one just used, so there are
3 possibilities for each of the others.
So: 4 x 3 x 3 x 3 = 108 possibilities
Answer:______________ 108