Grade 6 Maths Revision sheet – Term 3
AL NAJAH PRIVATE SCHOOL
ACADEMIC YEAR 2015 - 2016
TERM–3
Name: / Grade:Section: / 6 A/B/C/D/E/F/G
(Circle the section)
Subject:
REVISION
Maths / No. Of Pages: 24
Grade 6
Revision Paper
Maths
Analysing data
1)Calculate the mean and range of these two data sets, and use them to make a comparison between the two sets.
B / 7, 9, 4, 6, 6, 7
a) Mean of set A
Answer =
b) Mean of set B
Answer =
c) Range of set A
Answer =
d) Range of set B
Answer =
e) Which set has higher values on average?
Answer =
f) Which set has more varied data?
Answer =
2)Students in grade 7 got grades for their Maths exam. Students received As, Bs, Cs, Ds or Fs. The marks for the students are shown below:
A / B / B / C / F / A / C / D / C / AD / F / A / F / A / A / D / C / B / B
C / C / B / A / F / C / C / A / C / B
What was the modal mark? ______
3)Work out the mean, median, mode and range for the following groups of numbers. ( you may need to use decimal division)
a)5, 6, 7, 8, 9, 10, 11, 12
Mean ______
Mode______
Median ______
Range ______
b)5, 6, 9, 6, 5, 6
Mean ______
Mode______
Median ______
Range ______
c)12, 15, 12, 13, 14, 16, 18, 20
Mean ______
Mode______
Median ______
Range ______
Division
4)Divide the following. ( you may need to use decimal division)
a)217÷ 5= ______b) 479÷6= ______
c) 4,861÷ 15= ______d) 7,456÷12= ______
e) 1,221÷ 14= ______f) 9,156÷16= ______
5)Division Word problems
A)Mohammad is saving for a new phone. The new phone will cost 2,150dirhams. If he saves the same amount every month for a year, how much will he need to save each month?
______
B)Haya is in Dunkin’ Doughnuts to buy treats for her birthday party. Each doughnut costs $4. If she has $132, how many doughnuts can he buy? How much money will she have leftover?
How many doughnuts? ______
How much money has he left? ______
C)There are 345 students going to Ferrari worldnext week. If a van can only seat 11 students, how many vans will the school need to take all students toYasWaterworld?
______
D)Marwanis decorating cakes in a bakery. He puts 14 strawberries on the top of each cake. He has 356 starwberries. How many cupcakes will he be able fully decorate?
______
Negative numbers
6)Write these numbers in order from least to greatest.
a)1, -2, 10, -7, 3, -3
1st ______2nd ______3rd ______4th______5th______6th ______
b)1, -2, 10, -7, 3, -3
1st ______2nd ______3rd ______4th______5th______6th ______
7)Write the correct sign , <, >,between each pair:
a)- 4______-3 b) -5______4 c) 4______-3
d) -2 _____ 0 e) - 10______1f) -2______-3
8)Work out these calculations:
i)̶12 + 5 = ______ii) 3̶ 5 = ______iii) ̶8 + 6 = ______
iv) -6 + 9 = ______v) -8 + 7 = ______vi) 6 - 9 = ______
Negative number word problems
9)The temperature in Moscow is -25 degrees. In Dublin the temperature is 12 degrees. What is the difference in temperature?
Answer =
10)The temperature in Abu Dhabi is 45 degrees. In Alaska the temperature is ---12 degrees. What is the difference in temperature?
Answer =
11)The temperature in Berlin was 42 degrees in the summer time. In the winter it fell by 50 degrees. What was the temperature in Winter?
Answer =
Simplifying expressions
12) Simplify the following:
a) 6k + 3k b) 10 f – 5 f
Answer = Answer =______
c) a x 3d)16p ÷ 4
Answer = Answer =
e) 2c x 2df) 25 m ÷ 5
Answer = Answer =
13) Work out the following.
a) m + 3y - 2– 4y +8 +2m
Answer =
b) 8 (2k - 3) +4 (d + 2)
Answer =
c)3a (a + 4) + 4b – 2
Answer =
d)2a ( p + 3) + 3 - 3 a
Answer =
Length mass and capacity
14) For the following questions you will need to convert between the different metric units of measurement.
A) 3 kg = ______grams. B) 5,000 Grams = ______kg
C) 7,000 meters = ______kmD)7liters = ______mL
E) 60,000 mm = ______meterF) 14meters = ______cm
G) 4 cm = ______mmH) 61,000 grams = ______kg
I) 13liters = ______mLJ) 5.2 km = ______Meters
G) 6.3 cm = ______mmH) 31,000 grams = ______kg
I) 9 liters = ______mLJ) 2.1 km = ______Meters
Perimeter and area
15)Find the perimeter andarea of the following shapes.
A) B)
Perimeter = ______Perimeter = ______
Area= ______Area= ______
c) d)
Perimeter = ______Perimeter = ______
Area= ______Area= ______
e)f)
Perimeter = ______Perimeter = ______
Area= ______Area= ______
g) h)
Perimeter = ______Perimeter = ______
Area= ______Area= ______
16)Write each of these fractions in their simplest form.
(Hint: you will need to find the GCF !!)
a) b) c)
d) e) f)
g) h) i)
Proportions with fractions and ratios
17)Complete the following table
Fraction / % / Decimal25 %
105 %
0.82
18)Write the following ratios with white balls and black balls.
(Make sure you write your answers in simplest form.
Proportion of white balls as a fraction:
Answer =
Proportion of black balls as a percentage:
Answer =
19)There are 100 students going on a school trip. There are 65 boys. Write the following proportions. Make sure you write your answers in simplest form.
The proportion of boys as a fraction
Answer =______
The proportion of girls as a percentage
Answer =______
20)The following table shows the total number of seats in two different cinemas. It also shows how many seats in each cinema are pre-booked this weekend.
Cinema / Total seats / Total pre booked seatsDalma Mall cinema / 300 / 90
Yas Mall cinema / 250 / 75
Which cinema has a greater proportion of pre-booked seats this weekend?
(show all working)
Answer =
21)There are 26 students in grade 4G and 18 of them are girls.
There are 32 students in grade 4F and 18 of them are girls.
Which class has the largest proportion of girls?
Answer =
22)To make stir fry sauce, Sam uses teaspoons of corianderand teaspoons of Cumin in a ratio of 5:3.
a)What fraction of the sauce is Cumin? Answer =
b)What fraction of the sauce is coriander? Answer =
23)An art teacher makes green paint using a mixture of blue and yellow paint. She mixes 450 ml of blue paint with 550 ml of yellow paint.
a)Write the ratio of blue paint to yellow paint in it’s simplest form.
Answer =
b)What percentage of the paint mixture is :
i) Blue Answer =
ii) Yellow Answer =
c)How much of eachpaint would you need to make 1.4 liters of green paint?
i) Blue Answer =
ii) Yellow Answer =
Drawing triangles accurately
24)Use a ruler and protractor to make accurate drawings ofthese triangles.
a)
b)
Angles in a triangle
25)Work out the following missing angles in these triangles.
(without using a protractor.)
a)b)
Answer = Answer =
c) d)
Answer = Answer =
Quadrilaterals
26)Work out the following missing angles in these quadrilaterals.
(without using a protractor.)
a) b)
Answer = Answer =
c) d)
Answer = Answer =
Pattern sequences
27)This table shows how many packets of chips the shop sells every day. If this pattern continues, how many packets of chips will be sold on Day 5?
Day / 1 / 2 / 3 / 4 / 5Chips sold / 9 / 13 / 11 / 15
a)The rule is : ______
So ______packets of chips will be sold on day 5.
b)How many packets of chips would we expect to be sold on day 6?
Answer =
28) For each of these sequences, complete the empty boxes and write the equation in terms of y.
a)
X / 1 / 2 / 3 / 4 / 5Y / 6 / 7 / 8
The equation is : ______
b)
X / 35 / 55 / 20 / 60 / 45Y / 7 / 11 / 4
The equation is : ______
c)
x / 8 / 5 / 7 / 6 / 4Y / 24 / 15 / 21
The equation is : ______
29)For each of the following answer the given questions:
Position / 1 / 2 / 3 / 4 / 5Term / 7 / 8 / 9 / 10 / 11
a)
Term to term rule ______
Position to term rule ______
Rule for finding nth term ______
Position / 1 / 2 / 3 / 4 / 5Term / 5 / 10 / 15 / 20 / 25
b)
Term to term rule ______
Position to term rule ______
Rule for finding nth term ______
Position / 1 / 2 / 3 / 4 / 5Term / 3 / 5 / 7 / 9 / 11
c)
Term to term rule ______
Position to term rule ______
Rule for finding nth term ______
30)Find the nth term for the following sequences;
a)1, 5, 9, 13, b) 24, 19, 14, 9 c) 21, 39, 57, 75
Nth term = ______Nthterm = ______Nth term = ______
31)Draw and label the following lines on the given coordinate grid.
a)A ; y = 2d) D ; x = 6
b)B; x = -2e) E ; x = y
c)C; y = -4f) F; x = -y
32)
a) Copy and complete the table for the equation y = 3x- 4
x / 0 / 1 / 2 / 3 / 4 / -1y
b) Write down the co-ordinates pairs from the table.
(0, ) (1, ) ( , ) ( , ) ( , ) ( , ) ( , )
c) Draw the graph of y = 3x- 4
Symmetry and rotational symetry
33)Identify and draw all lines of symmetry in the following shapes.
a)b)
Lines of symmetry :_____ Lines of symmetry : _____
Order of rotational symmetry: _____ Order of rotational symmetry: _____
c) d)
Lines of symmetry :_____ Lines of symmetry : _____
Order of rotational symmetry: _____ Order of rotational symmetry: _____
e) f)
Lines of symmetry :_____ Lines of symmetry : _____
Order of rotational symmetry: _____ Order of rotational symmetry: _____
34)Draw and label the following lines on the given coordinate grid.
a)Draw the following shapes given these coordinates
i)A (1, 2), B ( 4, 2) C (4, 6)
ii)W ( -9 , 5 ) X ( -9 , 2 ) Y ( -6, 3 ) Z ( -7, 5 )
b)Reflect the shape from question a) part i) in the line x = 0.
c)Reflect the shape from question a) part i) in the line y = -2.
d)Reflect the shape from question a) part ii) in the line y = -3.
35)The grid shows a triangle that has been rotated about (0,0).
Describe the following rotations. The first one is done for you.
a)W onto X 90 degree rotation clockwise about (0, 0)
b)Z onto W ______
c)W onto Y ______
d)Y onto Z ______
e)Y onto X ______
f)X onto Z ______
g)W onto Z ______
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