Download 21st Century Modern Mathematics Integrated Test in TSA Format

Teacher’s Edition
21st Century Modern Mathematics
Integrated Test
Name: ____________________
P.6 Final Test (for P.4-P.6)
Date:
Class: _____________ (
____________________
Score: ________________ / 54
Suggested Time: 40 minutes
1
○
The number 81 205 is read as
eighty-one thousand, two hundred and five
.
2
○
24  183 =
4392
3
○
14  (782 – 698)  3 =
)
(1 mark)
(1 mark)
392
(1 mark)
4
○
There are three ribbons. Ribbon A is 68.3 cm long. It’s 5.8 cm shorter than Ribbon B.
Ribbon C is 3.9 cm shorter than ribbon B. How long is Ribbon C?
(Show your working.)
(3 marks)
68.3 + 5.8 – 3.9
= 74.1 – 3.9
= 70.2
Ribbon C is 70.2 cm long.
Accept any reasonable way of calculation
5
○
(a) This is a hexagonal * pyramid / prism.
(*Circle the answer)
(b) It has
12
7 faces, 7 vertices and
edges. Must be all correct.
6
○
The L.C.M. of 12 and 15 is
60 .
5
1 5
7
○
6  (2  1 )  6 5
6
4 8
24
(1 mark)
(1 mark)
(1 mark)
(1 mark)
Final Test.1
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8
○
Which number below is 265 divisible by?
A. 2
B. 3
(1 mark)
C. 5
D. 10
9
○
Arrange the numbers below from the largest to the smallest.
(a)
5
9
, 0.321,
16
22
Answer:
9
22
,
5
16
0.321 ,
(Largest)
Must be all correct.
(1 mark)
17 Must be all correct.
19
(1 mark)
(Smallest)
8 17
(b) 2 , 1 , 2.895
9 19
Answer:
2.895 ,
2
8
9
,
(Largest)
1
(Smallest)
10
○
Find the average of each group of numbers below.
(a) 1, 10, 24, 33, 57, 88
Answer: 35.5
(1 mark)
(b) 2.4, 3.6, 3.6, 4.8, 5, 5.3, 8.7, 10.2
Answer: 5.45
(1 mark)
11
○
Student Report
Name: Billy
Subject
Chinese
English
Maths
Class: 6B
Marks
93
71
82
What is Billy’s average mark of the test?
Answer: Billy’s average mark of the test was
Final Test.2
82 .
(1 mark)
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12 Which figure below has 50% of it shaded?
○
A.
B.
C.
D.
(1 mark)
13 Change each number below to a percentage.
○
13
=
25
(b) 0.85 =
(a) 1
152
85
%
(1 mark)
%
(1 mark)
14 The perimeter of the rectangle on the right
○
is
48
cm.
(1 mark)
15
○
In the above figure, the volume of the toy car is 360 cm3. After taking the toy car out
of the tank, by how many centimetres will the water level drop?
Answer: The water level will drop by 1.5 cm. or 1
(1 mark)
1
2
Final Test.3
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16
○
The volumes of each
The volume of the
in the picture above are the same.
is
50
cm3 larger than the volume of each
. (1 mark)
17 The volume of the 3-D shape on the right
○
is
120
m3.
(1 mark)
18 A cylinder is cut as shown below. Draw the section.
○
(1 mark)
19
○
The picture below shows a pentagonal prism. Draw the different sections.
(3 marks)
A
Final Test.4
B
C
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20 Modern Electrical Appliances is having a sale during the National Day. What is the
○
selling price of this digital camera? (Show your working.)
(3 marks)
Modern Electrical Appliances
10% off
 An extra 5% discount will be given
for purchase of at least 2000 dollars.
2380  (1 – 10%)  (1 – 5%)
= 2380 × 90% × 95%
= 2380  90 × 95
100 100
= 2034 9
10
9
The selling price of this digital camera is 2034 dollars.
10
Accept any reasonable way of calculation
21
○
John had 80 sweets at first. He first gave 25% of all the sweets to Ben, and then he
gave 30% of the remaining sweets to Fanny. Fanny got
18
sweets.
(1 mark)
22 There are 160 students in Grade 6. 90 of them are boys.
○
28 girls and 18 boys in Grade 6 are wearing glasses.
(a)
43.75
(b)
20
% of the pupils in Grade 6 are girls. or 43 3
4
% of the boys in Grade 6 are wearing glasses.
(c)
40
% of the girls in Grade 6 are wearing glasses.
(1 mark)
(1 mark)
(1 mark)
23 There are four small circles whose diameters are
○
4 cm in a big circle as shown on the right. PQ is
the diameter of the big circle.
(a) A is the centre of the big circle. (1 mark)
(b) The length of the diameter of the big circle is
8 times that of the radius of each small
circle.
(1 mark)
Final Test.5
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24
○
In the picture on the right, B and E are the centres
of two circles that have the same radii. A is the
intersection of the circles. If the diameter of each
circle is 10 cm and CD is 5 cm long, the perimeter
of the pentagon ABCDE is 25 cm. (1 mark)
25 Ship P and Ship Q departed at the same time. Ship P travelled from Pier A to Pier B,
○
and Ship Q travelled from Pier B to Pier A. The following is their travel graph.
The travel graph of Ship P and Ship Q
Distance (km)
Pier B
Ship Q
Ship P
Pier A
Time (hour)
(a) The average speed of Ship P was
The average speed of Ship Q was
50
40
km/h.
km/h.1 mark for each answer
(2 marks)
(b) Two hours after they have departed, Ship P has travelled 100 km and
Ship Q has travelled 80 km. The distance between Ship P and Ship Q
was 20 km.
1 mark for each answer
(3 marks)
(c) When Ship P reached Pier B, the distance between Ship Q and Pier A was
40 km. If Ship Q kept travelling at the same average speed,
it would reach Pier A after
60 minutes. 1 mark for each answer
(2 marks)
Final Test.6
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26
○
A ship travelled from Place A to Place B at an average speed of 20 km/h in 2 hours.
Then it travelled from Place B to Place C at an average speed of 25 km/h in 3 hours.
What was the average speed of the ship in the whole trip?
Answer: The average speed of the ship in the whole trip was
23
km/h. (1 mark)
27 Find the perimeter of the shaded region in the
○
22
)
7
B. 66 cm
D. 21 cm
figure on the right. (Take  
A. 80 cm
C. 47 cm
28
○
(1 mark)
The height of a triangle is 12 cm. Its area is 18 cm2. Find the length of its base by the
method of solving an equation. (Show your working.)
(3 marks)
Let b cm be the base of the triangle.
12b = 18
2
12b × 2 = 18 × 2
2 12
12
b=3
∴ The base of the triangle is 3 cm long.
The algebraic symbol can be replaced by other letters or symbols.
Final Test.7
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29 m + 9 = 24
○
(1 mark)
15
m=
30
○
The broken line graph below shows the number of flats sold in King’s Garden last
week.
Number of flats sold
Number of flats sold in King’s Garden sold last week
Sun
Mon
Tue
Wed
Thu
Day of the week
Fri
Sat
(a) The number of flats sold on Wednesday was the smallest.
Only 12 flats were sold on that day. Must be all correct.
(b) The difference between the number of flats sold on Sunday
on Wednesday was the largest. The difference was 15
(1 mark)
and that sold
flats. (1 mark)
Must be all correct.
(c)
10
fewer flats were sold on Wednesday than on Saturday.
(d) Altogether
130
flats were sold last week.Must be all correct.
(1 mark)
(1 mark)
- End -
Final Test.8
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