Year 5/6 Summer GATE
Day 7
LOGICAL THINKING (1)
The graph shows Linda's scores in four projects in her first year at university. Highest
score awarded to a student is 100 points.
Question 1
In her 2nd year at university, Linda scored 99 points in P5. What is the difference
between her P5 score in the 2nd year and her average project score in the 1st year?
A) 2
B) 3
C) 4
D) 5
Question 2
If Linda hopes to lift her average project score to 96 of after her 6th project, what
should she achieve in her 6th project?
A) 98
B) 99
C) 100
D) Unachievable.
Year 5/6 Summer GATE
Day 7
LOGICAL THINKING (2)
Question 1
How much nickel do coin A and coin B have in total?
A) 2.425g
B) 2.565g
C) 2.735g
D) 2.845g
Question 2
If both the coins are made of only nickel and copper, what is the difference
between the weight of copper present in Coin B and the weight of copper in
Coin A?
A) 0.225g
B) 0.435g
C) 0.560g
D) 0.675g
Year 5/6 Summer GATE
LOGICAL THINKING (3)
Question
LOGICAL THINKING (4)
Day 7
Year 5/6 Summer GATE
Day 7
Mental Math
No.
Question
16 – 3 × 2 + (13 – 3) =
1.
What is the next number in the series?
2.
1, 1, 2, 3, 5, 8, 13, 21
What is 23 tripled?
3.
How long does it take a car to travel 150 km at a
4.
speed of 75 km/h?
How many seconds are there in one hour and two
5.
minutes?
What is 30% of $30?
6.
Round 5.781 to the nearest tenth.
7.
How many faces does a triangular prism have?
8.
Answer
Year 5/6 Summer GATE
Day 7
Steven left for school at 8:45 AM. He got to school
at 9:06 AM. How long did it take Steven to get to
9.
school?
Bobby had $4.30. He bought a meat pie that cost
$3.95. How much money does he have left?
10.
The temperature increased from -11
o
C in the
morning to 5 oC in the afternoon. What was the rise
11.
in temperature?
37500 ÷ ______ = 3.75
12.
How many thirds make 5?
13.
Number cards from 1 to 10 are placed in a bag.
Harry chooses a card at random. What is the
14.
chance that it is a multiple of 4?
Write down all the prime numbers between 10 and
15.
20.
Year 5/6 Summer GATE
Day 7
Interactive Word Problems
1.
David lives in Brisbane. Alex lives in Mumbai. When it is 10:25AM in
Brisbane it is 5:55AM in Mumbai on the same day. On the weekends,
Alex always rings David to catch up. He wakes up at ten to eight in the
morning, eats breakfast and read magazines then rings David when it is
9:00AM in Mumbai. What time is it in Brisbane when Alex calls David?
2.
A. 1:00 PM
C. 2:00 PM
B. 1:30 PM
D. 2:30 PM
Cody, Liam and Molly have 60 stickers in total. Cody has half as many
stickers as Liam. Molly has three times as many stickers as Cody. How
many stickers does Cody have?
3.
A. 5
C. 15
B. 10
D. 20
Barry is a beekeeper. The mass of 500 millilitres of Barry’s honey is 700
grams. In order to sell the honey, he would pour the honey into tiny jars
that weigh 25 grams each. Each jar has a capacity of 250 millilitres. Last
week, Barry collected 3.5 kilograms of honey, how many litres is that?
A. 250
C. 2.5
B. 1000
D. 3.3
Year 5/6 Summer GATE
Day 7
4.
What is the most likely figure to complete the sequence?
5.
To make a syrup, 3 cups of water must be used for every 4 cups of
sugar. How many cups of water are needed for 6 cups of sugar?
6.
A. 1.5 cups
C. 5 cups
B. 4.5 cups
D. 8 cups
Parker bought two full bags of sand. Both bags had the same amount of
sand in them. After she used a quarter of one bag of sand, she had a
total of 35 kg of send left. How many kilograms of sand were in one full
bag?
A. 20 kg
C. 65 kg
B. 40 kg
D. 140 kg
Year 5/6 Summer GATE
7.
Day 7
This triangle was made by cutting a square in half. The perimeter of the
triangle is 34.14 cm. What is the area of the triangle?
8.
A. 50
C. 100
B. 70.7
D. 114
A box of 50 colourful tacks has a mass of 120 grams when full and 70
grams when half full. Inside the box, there are 13 blue tacks, 10 black
tacks, 21 red tacks and the rest are yellow tacks. What is the mass of the
box when it is empty?
A. 20 kg
C. 65 kg
B. 40 kg
D. 140 kg
Year 5/6 Summer GATE
9.
Day 7
During a trip, Samantha passed the 142 km marker on the highway at
9:10 AM and the 152 km marker at 9:25 AM. Her speed was constant for
the whole trip. At what time did she pass the 166 km marker?
A. 9:58 AM
C. 10:04 AM
B. 9:46 AM
D. 9:37 AM
10. In her pocket, Kira has 2 red marbles, 1 green marble, 5 blue marbles
and 1 yellow marble that are all the same size. While playing with her
friends, Kira exchanged 3 of her blue marbles and her only yellow marble
for 1 green marble. If Kira now picks one marble out of her pocket without
looking, what is the probability that it will be either red or green?
A. 1/6
C. 1/2
B. 1/3
D. 2/3
Year 5/6 Summer GATE
Day 7
HOMEWORK
Mental Math
No.
Question
67 ÷ ____ = 9 remainder 4
1.
7–4×9=
2.
How many metres less than 2 km is 1.7 km?
3.
The time in Tokyo is 15:04 on Tuesday. What is the
4.
time in Los Angeles which is 16 hours behind?
The perimeter of a rectangle is 22 cm. The area is
5.
28 cm2. What are the lengths of the sides?
A group of 80 ants went to collect some treacle.
10% lost their way, 30% got eaten by a passing
6.
anteater. How many ants came back?
Work out 0.8 × 300.
7.
Answer
Year 5/6 Summer GATE
What is two-fifths plus one half?
8.
What is the area of this triangle?
9.
The perimeter of a regular hexagon is 42 cm. What
10.
is the length of each side?
Write as a decimal 7 + 12/100.
11.
Work out two to the power of six.
12.
Six packages each have a mass of 11 grams. How
many grams less than 5 stones is the total weight?
13.
(1 stone = 14 grams)
Flowers cost 70c for 10. How much would I need to
14.
pay for 25 flowers?
What is the probability of rolling a prime number on
an 8-sided dice?
15.
Day 7
Year 5/6 Summer GATE
Day 7
Reasoning and Problem Solving
1.
One kilogram of pasta noodles can be made using the ingredients shown
in the recipe below.
A chef uses 42 cups of flour each day to make noodles. How many
kilograms of noodles does the chef make each day?
2.
A. 12
C. 22
B. 15
D. 34
A chair can be purchased in one of four colours: red, white, green or
blue. The number of chairs purchased in each colour is listed below.
Red: 150, White: 450, Green: 225, Blue: 375.
What is the probability that a randomly picked chair will be red?
A. 1/8
C. 1/4
B. 1/7
D. 2/5
Year 5/6 Summer GATE
3.
Day 7
Jellybeans cost 80c per kilogram. Howard buys 4 ½ kilograms of
jellybeans for himself and one kilogram for his friend. What is the cost of
the jellybeans Howard buys?
4.
5.
A. $4.00
C. $4.50
B. $4.40
D. $4.60
Determine the surface area of the prism formed by the following net.
A. 302.4 m2
C. 152.4 m2
B. 304.8 m2
D. 76.4 m2
Concrete is poured to create a slab in the shape of a rectangular prism.
The slab is 50 metres long, 1.5 metres wide and 0.25 metres thick. How
many cubic metres of concrete are needed to create the slab?
A. 18.75
C. 155.25
B. 25.75
D. 175.75
Year 5/6 Summer GATE
6.
Day 7
In the morning, a farm worker packed 3 pints of strawberries every 4
minutes. In the afternoon, she packed 2 pints of strawberries every 3
minutes. What was the difference between her morning and afternoon
packing rates, in pints per hour?
7.
A. 5
C. 40
B. 10
D. 45
One morning, the temperature was 5oC below zero. By noon, the
temperature was 20oC and then dropped 8oC by evening. What was the
evening temperature?
8.
A. 17o below zero
C. 12o above zero
B. 15o below zero
D. 7o below zero
Jim is creating a scale drawing of an airplane. The scale factor is one
inch equals seven feet. The length of the actual airplane is 52 feet. What
is the length of the airplane in the scale drawing?
A. 7/52 inch
C. 45 inches
B. 7 3/7 inches
D. 59 inches
Year 5/6 Summer GATE
9.
Day 7
Choose the image to continue the pattern below.
A
B
C
D
E
10. Challenging: The second angle of a triangle is 45o more than the
smallest angle. The third angle is three times the smallest. What is the
smallest angle in the triangle?
Please show your working. (You can solve this without using algebra)
A. 18o
C. 30o
B. 27o
D. 21o
Year 5/6 Summer GATE
Revision: Measurement
Day 7
Year 5/6 Summer GATE
Day 7
Year 5/6 Summer GATE
General Ability
Day 7
Year 5/6 Summer GATE
Day 7
Year 5/6 Summer GATE
Day 7
Year 5/6 Summer GATE
Day 7
Year 5/6 Summer GATE
Day 7
Year 5/6 Summer GATE
Day 7
Year 5/6 Summer GATE
Day 7
Year 5/6 Summer GATE
Day 7