21st Century Modern Mathematics Teacher’s Edition

Integrated Test Name:Name: ______P.5 Final Test (for P.4-P.5) Class:Class:______(______( )) Suggested Time: 50 minutes Date:Date: ______Score:Score:______/______/ 6363 ○ 1.67 + 8.44 = ______10.11 (1 mark) ○ 113  26 = ______2938 (1 mark)

1 2 14.88 11 1 6 ○ 4.65  3.2 = ______(1 mark) ○ + 1 = (1 mark) 12 4

3 6 4 8 1 8 ○ 1 – = (1 mark) ○ 2  3 = (1 mark) 7 7 7 9 4 9

149 1 1 1 ○ 77 + 432  6 = ______(1 mark) ○ 3  4 = 13 (1 mark) 5 6 3

1 5 3 1 ○ 4 – 1 + 7 = 10 (1 mark) ○ 4.73 + 3.1 – 1.86 = ______5.97 (1 mark) 3 6 5 10

○ List all the common factors of 24 and 64. (1 mark) Answer: 1______, 2, 4, 8 The order can be changed. Must be all correct.

○ The fourth common multiple of 6 and 15 is ______120 . (1 mark)

○ Divide 613 by 29. The quotient is ______21 , and the remainder is ______4 . (1 mark) Must be all correct. ○ In the number 2 137 459, ‘7’ is in the thousands______place. (1 mark)

○ In the number 1.4792: (a) ‘______7 ’ is in the hundredths place. (1 mark)

Final Test.1 © Modern Educational Research Society, Ltd. (b) The value that the digit ‘______2 ’ represents is the smallest. (1 mark)

○ Bill has 7 packets of chocolate. There are 25 pieces of chocolate in each packet. Jenny has 41 pieces of chocolate. How many fewer pieces of chocolate does Jenny have than Bill? (Show your working.) (3 marks)

25  7 – 41 = 175 – 41 = 134 Jenny has 134 fewer pieces of chocolate than Bill. Accept any reasonable way of calculation

○ A box of biscuits costs 8.7 dollars. A packet of prawn crackers is 3.8 dollars cheaper than a box of biscuits. Fanny buys a box of biscuits and a packet of prawn cracker. How much should she pay? (Show your working.) (3 marks)

8.7 + (8.7 – 3.8) = 8.7 + 4.9 = 13.6 She should pay 13.6 dollars. Accept any reasonable way of calculation

○ Use , , to make 3-digit numbers that are divisible by 5. (1 mark) 6 5 8 Answer: The 3-digit numbers that are divisible by 5 are ______. The order can be685 changed and 865. Must be all correct. ○ Write the correct number in each box below. (2 marks) 5 15 45 = = 24 8 72 1 mark for each answer.

26 ○ Change to a mixed fraction. (1 mark) 7 5 3 Answer: 7

Final Test.2 © Modern Educational Research Society, Ltd. 1 2 ○ There are 2 kg of tea in the kitchen. There are 5 kg more rice than tea. There are 5 3 1 3 kg fewer flour than rice. How many kilograms of flour are there? 2 (Show your working.) (3 marks) 1 2 1 2 5 3 5 + 3  2 6 20 15 2 5 3 = 30 + 30  30 26 15 7 3 = 30  30 11 4 = 30 11 4 There are 30 kg of flour. Accept any way of 9 leaves 10 leaves 8 leaves 10 leaves 10 leaves 11 leaves ○ calculation

9 leaves 8 leaves 11 leaves 8 leaves 9 leaves 9 leaves In the picture above, there are ______9 leaves in one of the parts. There are about ______leaves in total. Accept any reasonable answer. (1 mark) 108 Must be all correct. (Note: The answers are given according to the leaves in the top-left part.) Actual number of leaves: 112 ○ Let the dotted line be the line of symmetry. Finish the symmetrical shape on the squared paper. (1 mark)

Final Test.3 © Modern Educational Research Society, Ltd. ○ A rectangle is 17 cm long. Its width is 6 cm shorter than the length. Its perimeter is ______56 cm. (1 mark)

○ A rectangular lawn is 24 m long and 13 m wide. A fence is put around the lawn. Each metre of fence costs 25 dollars. How much does the fence cost? (Show your working.)

(3 marks)

(24 + 13)  2  25 = 37  2  25 = 74  25 = 1850 The fence costs 1850 dollars. Accept any reasonable way of calculation

○

Which of the shapes below can be made using the two rhombuses of the same size above? (1 mark) A. A triangle B. A parallelogram C. A rectangle D. A square

○ The area of the figure on the right is about ______15 cm2. (1 mark) or 16

○ 13 cm The area of this parallelogram is ______cm2. (1 mark) 10 cm 8 cm 104 ○ Cherry uses some cubes of the same size to make the 3-D shapes below.

Final Test.4 © Modern Educational Research Society, Ltd. Arrange the 3-D shapes above from the smallest volume to the greatest volume. (Write down letters for the answers.) Answer: ______B , ______A , ______C Must be all correct. (1 mark) (Smallest) (Greatest)

○ The volume of this cuboid (1 mark) is ______168 cm3/cubic centimetres . 3 cm (Give your answer with a unit.) 7 cm 8 cm ○ Which of the following descriptions about quadrilaterals is correct? (1 mark) A. The four sides of a rectangle are equal in length. B. A parallelogram has four right angles. C. All quadrilaterals that have four sides equal in length are squares. D. A trapezium has a pair of parallel opposite sides.

○ Which of the nets below can be folded into the cube on the right? (1 mark)

A. B.

C. D.

Final Test.5 © Modern Educational Research Society, Ltd. ○ Peter has just enough sticks and plasticine balls to make a hexagonal pyramid. With these sticks and plasticine balls, which of the 3-D shapes below ca nnot be make? A. triangular prism B. rectangular pyramid (1 mark) C. rectangular prism D. pentagonal pyramid ○ In the morning, there were R apples in the fruit shop at first. 120 more apples were purchased in the afternoon. If each apple costs 3 dollars, how much can the fruit shop receive if all the apples are sold? (1 mark) A. 3(R + 120) dollars B. (3R + 120) dollars R 120 R C. dollars D. ( + 120) dollars 3 3 ○ Solve the equation: 6k = 198 (1 mark) k = 33 ○ The bar chart below shows the numbers of different electric appliances sold in Wave Electric Appliance Company in the first half of last year. s e c n a i l p p a

c i r t c e l e

f o

r

e Number of different electric appliances sold in the first half of last year b

m 600 u N 500

400

300 computers (a) Apart200 from the item ‘Others’, the number of ______sold was the smallest. (1 mark) The order can be changed. Must be all correct. (b) The100 numbers of ______televisions and ______washing machines sold were the same. (1 mark) (c) The number0 of air-conditioners sold was twice that of the ______computers sold. Television Fridge Air-conditioner Washing Computer Others (1 mark) machine (d) Altogether ______1660 electric appliancesElectric wereappliance sold in the first half of last year in Wave Electric Appliance Company. (1 mark) ○ N park tram stop

Final Test.6 © Modern Educational Research Society, Ltd.

church post office restaurant (a) The restaurant is to the ______west of the post office. (1 mark) (b) The park is to the ______of the church and to the ______of the tram stop. south-west east Must be all correct. (1 mark) (c) Jenny went ______north from the park to the post office. Then she went east and arrived at the ______. (1 mark) church Must be all correct. ○ The pictogram below shows the districts where P.5 pupils of a primary school live.

Districts where P.5 pupils of a primary school live Each represents 10 pupils

New Territories New Territories Kowloon East Kowloon West Hong Kong East West Island District (a) There are altogether ______140 P.5 pupils in this primary school. (1 mark) (b) The number of P.5 pupils who live in Kowloon East is ______2 times that of those who live in New Territories West. (1 mark) (c) According to the pictogram above, which district is most probably this primary school located in? Why? (1 mark) Answer: ______Kowloon West. Because the number of P.5 pupils who live in this ______district is the largest. Accept any reasonable answer

Final Test.7 © Modern Educational Research Society, Ltd. ○ The table below shows the favourite extra-curricular activities of all the pupils in Mercy Primary School. Extra-curricular Doing Reading Listening Playing Others Number activities sports to music chess of pupils Boys 136 107 43 46 25 Rounded off to 140 110 40 50 30 Must be all correct. the nearest ten Girls 68 132 115 28 17 Rounded off to 70 130 120 30 20 Must be all the nearest ten correct. (a) Round off the data to the nearest ten and write them in the table above. (2 marks) (b) Using the rounded-off data, make a compound bar chart with vertical bars below, where bars representing the boys and the girls are put together side by side. Each big division stands for 50 pupils. (2 marks) s l i

p 1 mark for the title u Pupils’ favourite extra-curricular activities in p

f Mercy Primary School Accept any o

r reasonable title e (Title) b

m 200 u N 150 Boys Girls 100

50 1 mark for the correct heights of the bars 0 Doing Reading Listening Playing Others sports to music chess Extra-curricular activity Answer the following questions according to the completed chart. (c) There are ______20 (* more / fewer) boys than girls who like playing chess. (1 mark) (* Circle the answer.) Must be all correct. (d) There are altogether about ______80 pupils who like playing chess. (1 mark) (e) The difference between the numbers of boys and the girls who like ______listening to music is the greatest. (1 mark) (f) The number of pupils who like ______reading is the greatest. There are about ______240 of them altogether. Must be all correct. (1 mark) — End —

Final Test.8 © Modern Educational Research Society, Ltd.