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MENTAL PAPER year 6 Half Yearly 2016 -2017
‘For the following group of questions, you have 5 seconds to work out each answer and write it down.’ ‘Għal dawn il-mistoqsijiet li ġejjin, għandek 5 sekondi biex taħdem u tikteb kull risposta.’ Practice question. What is seven times five?
1. Write the number twenty-six thousand and fifty-seven in digits.
2. Round seven thousand seventy nine to the nearest hundred.
3. What must be added to one hundred sixty eight to make two hundred?
4. What are forty lots of seven?
5. How many m in 3.4 km?
‘For the following group of questions, you have 10 seconds to work out each answer and write it down.’ ‘Għal dawn il-mistoqsijiet li ġejjin, għandek 10 sekondi biex taħdem u tikteb kull risposta.’ 6. How many thirds in four and two thirds?
7. Which of these numbers is exactly divisible by nine: fifty-three, fifty-four or fifty-five? Write down the correct number.
8. What is half of 27?
9. Which is the smallest: seven and three tenths or seven point zero three?
10. Write forty eight fifths as a mixed number.
11. What is the best estimate for the weight of an orange: two grams, two hundred grams, two kilograms?
12. Write a fraction equivalent to seven eighths with denominator 24.
13. How many degrees in 3 and ½ right angles?
14. Write three quarters as a decimal fraction.
15. I am a square number less than 10. I am also a multiple of three. Which number am I?
‘For the following group of questions, you have 20 seconds to work out each answer and write it down.’ ‘Għal dawn il-mistoqsijiet li ġejjin, għandek 20 sekonda biex taħdem u tikteb kull risposta.’ 16. One packet of marbles costs five euro ninety-nine cent. What is the cost of four such packets of marbles?
17. Maria buys 19 books at €9.90 each. What is the approximate cost of the books?
18. Marvin thinks of a number. He doubles it and then adds four. The answer is sixty eight. Which number did he think of?
19. Sarah pours 2 glasses from a 1 litre bottle. If each glass has a capacity of 350ml. How many ml are left in the bottle?
20. Two of the angles in a triangle are seventy degrees and fifty degrees. What is the value of the third angle?
________________________________________________________________________
THERESA NUZZO SCHOOL MARSA
HALF YEARLY EXAMINATIONS 2016-2017
MATHEMATICS
Grade 6
Name: ________________________ Register No________
Class ____________________
Mental Paper Time: 20 minutes
Mark
Written Paper Time 1hour 30 minutes
Mark
Total Mark
Mathematics ---Written Paper--- Half Yearly Exam Page 1 of 18
MATHEMATICS Mental Paper Time: 20min GRADE 6
2
3
8
6
9
5
4
7
1
m
Practice
question
thirds
Mathematics ---Written Paper--- Half Yearly Exam Page 2 of 18
11
10
14
13
12
18
17
16
15
20
19
€
cents
ml
0
0
€
Mathematics ---Written Paper--- Half Yearly Exam Page 3 of 18
MATHEMATICS Written Paper Time: 1 hr 30min GRADE 6
1. Work Out:
a) 231 + 76 b) 8000 – 5432 =
c) 728 ÷ 7 =
d) 75 X 6 =
(4 marks) _____________________________________________________________
2. Look at these five numbers:
a) Write the number closest to 500
b) Write the even number
c) Write the smallest odd number
d) Write the number which result to 500 when rounded to the nearest 10
(4 marks)
511 499 512 555 455
Mathematics ---Written Paper--- Half Yearly Exam Page 4 of 18
3) Match the properties with the shape. The first one has been done for you.
(4 marks)
Properties Shape
A It has 5 vertices, 8 edges and 5 faces
B It has no vertices and 2 edges
C It has 8 vertices, 12 edges and 6 faces
D It has no vertices and no edges
A
E It has 1 vertex, 1 edge and 2 faces
Mathematics ---Written Paper--- Half Yearly Exam Page 5 of 18
4a. Each shape stands for a number.
96
What is the value of each shape?
4b. In the following calculation the missing sign is + or - . Write the missing sign in the circle.
(4 marks)
_______________________________________________________________________________________________
Mathematics ---Written Paper--- Half Yearly Exam Page 6 of 18
5a) Here are four number cards.
Use each card once to make every statement below correct. The first one has been done for you.
i) is a multiple of 7
ii) is a multiple of 4
iii) is a multiple of 5
iv) 3 is a factor of
5b) Write the missing number in each calculation.
i) X 7 = 280
ii) 250 ÷ = 50
(5 marks)
____________________________________________________________________________
52 50
51
49
49
Mathematics ---Written Paper--- Half Yearly Exam Page 7 of 18
6a.This table shows the number of people living in various towns in England. Town Population
Bedford 82,448
Dover 34,087
Formby 24,478
Telford 166,640
i) Write the population of Telford in words: 166,640_____________________
______________________________________________________________
ii) What is the total number of people living in Formby and in Telford?
__________people
ii) What is the difference between the number of people living in Bedford and in Dover?
__________people
6b) Write the missing digits to make the addition correct.
________________________________________________________(5 marks)
Mathematics ---Written Paper--- Half Yearly Exam Page 8 of 18
7. A shop sells pairs of socks.
1 pair for €5.45 3 pairs for €7.50 5 pairs for €8.50
a) Kirsty buys 1 pair of knee socks and 3 pairs of ankle socks. How much does she need to pay?
€________ b) Maria buys 6 pairs of ankle socks and 10 pairs of trainer socks. She pays
with a €50 note. How much change does she get? €________
c) During January sales everything is sold at half price. What is the sale price for 3 pairs of ankle socks and 10 trainer socks?
€__________
____________________________________________________(5 marks)
Mathematics ---Written Paper--- Half Yearly Exam Page 9 of 18
(5 marks)
8a) Complete:
37 = 12
8b) Find the midpoint between:
43
7 and 4
4
7
8c) Each of these diagrams is divided into equal parts Some of the parts are shaded.
Write the letters of all the diagrams that have exactly ½ shaded.
8d) Jane walks 𝟑
𝟕 of a km to work and Graham walks 𝟒
𝟗 of
km. Who walks furthest?
Mathematics ---Written Paper--- Half Yearly Exam Page 10 of 18
9) Stefan and Maria are having breakfast. a) Stefan uses the recipe to make two
smoothies. How many ml of yogurt are left from
a 1𝟏
𝟐 litre container of yogurt?
________ml
b) A packet contains 1.5 kg of oats. Every day Maria uses 50 g of oats to make porridge. How many days does the packet of oats last?
______days
c) After breakfast Maria and Stefan go to work. Maria drives 4 km to reach her work place while Stefan drives 1.7 km less. How far is Stefan’s place of work from his home? (Give answer in m)
_________m
(5 marks)
Mathematics ---Written Paper--- Half Yearly Exam Page 11 of 18
10a) Look at this triangle.
i) One of the angles is obtuse, mark it. ii) Measure it. ______o iii) The triangle is (scalene, isosceles, equilateral)
b) Write how many right angles are there in the following shape.
______right angles
c) Shade squares to make a symmetrical pattern in the mirror lines.
mirror line
mirror line
(5marks)
Mathematics ---Written Paper--- Half Yearly Exam Page 12 of 18
11a) Reuben is preparing for his birthday party. He has 270 sweets to put into party bags. He puts 15 sweets in each bag. How many bags does he use?
________ bags
11b) Rachel is also preparing for her birthday party. She puts 18 sweets in each of her party bags. She uses 27 bags and 11 sweets are left over. How many sweets does she start with?
_________ sweets
________________________________________________________________________________ (5 marks)
Mathematics ---Written Paper--- Half Yearly Exam Page 13 of 18
12a) Find the unknown angle in each case.
i)
x =________0
ii)
x =________0
12b) Fill in the blanks:
i) The post office is ________ of the pond.
ii) Jack is at the pond facing school, he needs to turn ______ right angles clockwise to look at the flower shop. ________________________________________________(6 marks)
Post office
School Fire station
Supermarket
Pond Park
Flower shop fountain Bank
Mathematics ---Written Paper--- Half Yearly Exam Page 14 of 18
13a) The shop keeper is stacking boxes on the shelves. He realises that: 6 small boxes have the same mass (weight) as 5 large boxes.
The mass (weight) of one small box is 250g. What is the mass of one large box?
_______g
13b) The shop keeper orders 10 boxes of marbles.
Each box contains 6 bags of marbles. Each bag contains 15 marbles. How many marbles does the shop order in total?
_______marbles
_______________________________________________________( 6 marks)
15 15
Mathematics ---Written Paper--- Half Yearly Exam Page 15 of 18
14a) Put in ascending order: 0.2 , 𝟐
𝟏𝟎𝟎 , 𝟐
𝟓
14b) Joseph collects stamps. He has 360 stamps in his album.
𝟏
𝟏𝟎 of them are British
𝟐
𝟓 of them are German
the rest are Maltese a) How many British stamps does she have?
_________ stamps
b) How many German stamps does she have?
_________ stamps
c) How many Maltese stamps does she have?
_________ stamps
d) What fraction of all the stamps is Maltese? Give answer in simplest form.
__________________________________________________(6 marks)
_ _________
Mathematics ---Written Paper--- Half Yearly Exam Page 16 of 18
15a) Mary goes to the stationery. She buys 2 books, each at the same price. She pays with a €10 note and gets €2.30 change. What is the cost of one book?
€_________
15b) Mary asks the stationer for the prices of a rubber and a pencil. He gives her the following information:
6 pencils cost €1.68
3 pencils and 1 rubber cost €1.09
What is the cost of the pencil and rubber?
(6 marks)
Pencil costs______ c
Rubber costs ______c
Mathematics ---Written Paper--- Half Yearly Exam Page 17 of 18
16) The local restaurant has the following offers:
2 sandwiches and juice
€5.00
OFFER A
Sandwich and salad
€5.10
OFFER B
Salad and juice
€5.30
OFFER C
i) What is the cost of 1 sandwich?
€___________
ii) What is the cost of 1 sandwich 1 salad and 1 juice?
€_________
iii) James spends €20.40 on offers. Which offers did he buy?
__________________________
____________________________THE END_____________________(6 marks)