Grade D Maths Assessment Test 1 Name: Class: Date: A(2) B(5) C(11 ...
Grade D Maths Assessment
Test 1
Name:
A(2)
A
Class:
B(5)
C(11)
D(18)
E(10)
Date:
Total Score (46)
Grade
Number and the number system 1. (a) Some of the statements below are correct. Tick ( ) the correct ones.
Tick (
1 2
=
9 30
0.75
) if correct
0.5
3 10
3 4
1 is equivalent to 10% 2 1 is equivalent to 5% 5
1 mark (D/1)
(b) Write these numbers in order of size, starting with the smallest: 65%
3 4
0.72
2 3
3 5
1 mark (D/1)
B Calculating 2. Jake ‘s salary is £24000. His salary increases by 4%. Work out his new salary.
2 marks (D/2)
3. Jill, Kath and Lucy earn £36 between them. They divide the money in the ratio of 7:3:2. Jill gets the largest share. How much does she get?
1 mark (D/3)
4.
How many paper clips would be needed to reach the height of Mr. Tall? Explain your reasoning
1 mark (D/4)
5. Work out:
2 3 + 10 5
1 mark (D/5)
C 6.
Algebra The equation x3 – x = 30 has a solution that lies between 3 and 4. Use a trial & improvement method to find this solution correct to 1 decimal place. Show all your working
2 marks (D/6)
7. I think of a number I multiply it by 5 and then subtract 8. The result is three times the number I am thinking of. What is the number?
1 mark (D/7)
8.
Here are some patterns made from sticks
Pattern 1
Pattern 2
Pattern 3
Complete the table: Pattern Number
Number of sticks
1
3
2
5
3
7
4 5 10 n 2 marks (D/8)
9.
Each point on the straight line x + y 12 has an x coordinate and a y coordinate that add together to make 12 Draw the straight line x + y 12
y 14 12 10 8 6 4 2 0 0
2
4
6
8
10
12
x 14 2 marks (D/9)
10.
A man left home at 12 noon to go for a cycle ride. The travel graph represents part of the man’s journey. At 12.45pm the man stopped for a rest.
(a)
For how many minutes did he rest? …………… minutes 1mark (D/10)
The man stopped for another rest at 2pm. He rested for one hour. Then he cycled home at a steady speed. It took him 2 hours. (b)
Complete the travel graph. 1mark (D/10)
11.
22 20 18 16 14 12 Pounds 10 8 6 4 2 0 0
1
2
3
4
5
7 6 Kilograms
8
9
10
11
12
The conversion graph above can be used for changing between kilograms and pounds. (a)
Use the graph to change 22 pounds to kilograms. ............................. kg
1 mark (D/11)
............................. kg
1 mark (D/11)
Firoza weighs 110 pounds. (b) Change 110 pounds to kilograms.
D
Shape, Space and Measure
12. Tick the properties associated with the following quadrilaterals Name of quadrilateral
Opposite sides are parallel
Diagonals cross each other at 900
Square Rectangle Parallelogram Rhombus Trapezium Kite 2marks (D/12)
13/14. Find the missing angles in alphabetical order. You must give a reason. d
b
c
a
600
700
a= ................... Reason ....................................................................................................................... b= ................... Reason ....................................................................................................................... c= ................... Reason ....................................................................................................................... d= ................... Reason ....................................................................................................................... 4marks (D/13&14)
15. Complete the instructions to create a square of side 10, starting at A: Forward 10 Turn right 900 10
A
1marks (D/15)
16.
Each shape below is made from five cubes that are joined together. Complete the missing diagrams below.
Shape drawn on an isometric grid
View from above of the shape drawn on a square grid
2 marks (D/16)
17.
Enlarge this shape by scale factor 2 with centre X
1mark (D/17)
18.
Describe fully TWO different transformations that would map the left-hand rectangle onto the right-hand one 6 5 4 3 2 1 0
1
2
3
4
5
6
7
8
9
Transformation 1 .............................................................................................................................. Transformation 2 .............................................................................................................................. 2marks (D/18)
19.
Use a pair of compasses to accurately construct an equilateral triangle of side 5cm
2 marks (D/19)
20. The triangle has the SAME AREA as the parallelogram Not drawn accurately
6cm
2cm
length 4cm Work out the length of the parallelogram Show your working
2 marks (D/20)
21.
A bicycle wheel has a diameter of 50cm Calculate the circumference of the wheel. (Give your answer correct to 1 decimal place)
2 marks (D/21)
E
Data Handling
22.
The two-way table shows some information about the colours of Ford cars and of Toyota cars in a garage. white Ford
blue
red
Total
5
21
Toyota
7
Total
9
16
40
Complete the two-way table.
2 marks (D/22)
23. The scatter graph shows information about trees called poplars. 6
5
Height of tree (m)
4
3
2
1
0 0
(a)
(b)
(c)
1
3 2 4 Diameter of tree trunk (cm)
5
What does the scatter graph show about the relationship between the diameter of the tree trunk and the height of the tree? The height of a different tree is 3 m. The diameter of its trunk is 5 cm. Use the graph to explain why this tree is not likely to be a poplar.
Another tree is a poplar. The diameter of its trunk is 3.2 cm. Estimate the height of this tree. ............................ m 3 marks (D/23)
Joe rolls a 6-sided dice and spins a 4-sided spinner. The dice is labelled 1, 2, 3, 4, 5, 6 The spinner is labelled 1, 2, 3, 4
4
1
4
3
24.
2
Joe adds the score on the dice and the score on the spinner to get the total score. He records the possible total scores in a table. +
1
2
3
4
5
6
1
2
3
4
5
6
7
2
3
3
4
4
5
(a) Complete the table of possible total scores. Write down all the ways in which Joe can get a total score of 5 One of them has been done for you.
1 mark (D/24) (b)
(1, 4), ..................................... 1 mark (D/24) 25.
Four teams, City, Rovers, Town and United play a competition to win a cup. Only one team can win the cup. The table below shows the probabilities of City or Rovers or Town winning the cup. City
Rovers
Town
United
0.38
0.27
0.15
x
Work out the value of x. ..............................................1 mark (D/25)
26.
The graph shows information about the rainfall in Kathmandu. It shows the number of days it rained each month.
30
20
Number of days it rained 10
0 Jan
Feb
Mar Apr May Jun
Jul
Aug Sep
Oct
Nov Dec
Month
(a)
Write down the number of days it rained in April.
................... days
One month it rained on exactly 12 days. (b)
Which month?
...................... 2 marks (D/26)
Test 1
Name:
A(2)
A
Class:
B(5)
C(11)
D(18)
E(10)
Date:
Total Score (46)
Grade
Number and the number system 1. (a) Some of the statements below are correct. Tick ( ) the correct ones.
Tick (
1 2
=
9 30
0.75
) if correct
0.5
3 10
3 4
1 is equivalent to 10% 2 1 is equivalent to 5% 5
1 mark (D/1)
(b) Write these numbers in order of size, starting with the smallest: 65%
3 4
0.72
2 3
3 5
1 mark (D/1)
B Calculating 2. Jake ‘s salary is £24000. His salary increases by 4%. Work out his new salary.
2 marks (D/2)
3. Jill, Kath and Lucy earn £36 between them. They divide the money in the ratio of 7:3:2. Jill gets the largest share. How much does she get?
1 mark (D/3)
4.
How many paper clips would be needed to reach the height of Mr. Tall? Explain your reasoning
1 mark (D/4)
5. Work out:
2 3 + 10 5
1 mark (D/5)
C 6.
Algebra The equation x3 – x = 30 has a solution that lies between 3 and 4. Use a trial & improvement method to find this solution correct to 1 decimal place. Show all your working
2 marks (D/6)
7. I think of a number I multiply it by 5 and then subtract 8. The result is three times the number I am thinking of. What is the number?
1 mark (D/7)
8.
Here are some patterns made from sticks
Pattern 1
Pattern 2
Pattern 3
Complete the table: Pattern Number
Number of sticks
1
3
2
5
3
7
4 5 10 n 2 marks (D/8)
9.
Each point on the straight line x + y 12 has an x coordinate and a y coordinate that add together to make 12 Draw the straight line x + y 12
y 14 12 10 8 6 4 2 0 0
2
4
6
8
10
12
x 14 2 marks (D/9)
10.
A man left home at 12 noon to go for a cycle ride. The travel graph represents part of the man’s journey. At 12.45pm the man stopped for a rest.
(a)
For how many minutes did he rest? …………… minutes 1mark (D/10)
The man stopped for another rest at 2pm. He rested for one hour. Then he cycled home at a steady speed. It took him 2 hours. (b)
Complete the travel graph. 1mark (D/10)
11.
22 20 18 16 14 12 Pounds 10 8 6 4 2 0 0
1
2
3
4
5
7 6 Kilograms
8
9
10
11
12
The conversion graph above can be used for changing between kilograms and pounds. (a)
Use the graph to change 22 pounds to kilograms. ............................. kg
1 mark (D/11)
............................. kg
1 mark (D/11)
Firoza weighs 110 pounds. (b) Change 110 pounds to kilograms.
D
Shape, Space and Measure
12. Tick the properties associated with the following quadrilaterals Name of quadrilateral
Opposite sides are parallel
Diagonals cross each other at 900
Square Rectangle Parallelogram Rhombus Trapezium Kite 2marks (D/12)
13/14. Find the missing angles in alphabetical order. You must give a reason. d
b
c
a
600
700
a= ................... Reason ....................................................................................................................... b= ................... Reason ....................................................................................................................... c= ................... Reason ....................................................................................................................... d= ................... Reason ....................................................................................................................... 4marks (D/13&14)
15. Complete the instructions to create a square of side 10, starting at A: Forward 10 Turn right 900 10
A
1marks (D/15)
16.
Each shape below is made from five cubes that are joined together. Complete the missing diagrams below.
Shape drawn on an isometric grid
View from above of the shape drawn on a square grid
2 marks (D/16)
17.
Enlarge this shape by scale factor 2 with centre X
1mark (D/17)
18.
Describe fully TWO different transformations that would map the left-hand rectangle onto the right-hand one 6 5 4 3 2 1 0
1
2
3
4
5
6
7
8
9
Transformation 1 .............................................................................................................................. Transformation 2 .............................................................................................................................. 2marks (D/18)
19.
Use a pair of compasses to accurately construct an equilateral triangle of side 5cm
2 marks (D/19)
20. The triangle has the SAME AREA as the parallelogram Not drawn accurately
6cm
2cm
length 4cm Work out the length of the parallelogram Show your working
2 marks (D/20)
21.
A bicycle wheel has a diameter of 50cm Calculate the circumference of the wheel. (Give your answer correct to 1 decimal place)
2 marks (D/21)
E
Data Handling
22.
The two-way table shows some information about the colours of Ford cars and of Toyota cars in a garage. white Ford
blue
red
Total
5
21
Toyota
7
Total
9
16
40
Complete the two-way table.
2 marks (D/22)
23. The scatter graph shows information about trees called poplars. 6
5
Height of tree (m)
4
3
2
1
0 0
(a)
(b)
(c)
1
3 2 4 Diameter of tree trunk (cm)
5
What does the scatter graph show about the relationship between the diameter of the tree trunk and the height of the tree? The height of a different tree is 3 m. The diameter of its trunk is 5 cm. Use the graph to explain why this tree is not likely to be a poplar.
Another tree is a poplar. The diameter of its trunk is 3.2 cm. Estimate the height of this tree. ............................ m 3 marks (D/23)
Joe rolls a 6-sided dice and spins a 4-sided spinner. The dice is labelled 1, 2, 3, 4, 5, 6 The spinner is labelled 1, 2, 3, 4
4
1
4
3
24.
2
Joe adds the score on the dice and the score on the spinner to get the total score. He records the possible total scores in a table. +
1
2
3
4
5
6
1
2
3
4
5
6
7
2
3
3
4
4
5
(a) Complete the table of possible total scores. Write down all the ways in which Joe can get a total score of 5 One of them has been done for you.
1 mark (D/24) (b)
(1, 4), ..................................... 1 mark (D/24) 25.
Four teams, City, Rovers, Town and United play a competition to win a cup. Only one team can win the cup. The table below shows the probabilities of City or Rovers or Town winning the cup. City
Rovers
Town
United
0.38
0.27
0.15
x
Work out the value of x. ..............................................1 mark (D/25)
26.
The graph shows information about the rainfall in Kathmandu. It shows the number of days it rained each month.
30
20
Number of days it rained 10
0 Jan
Feb
Mar Apr May Jun
Jul
Aug Sep
Oct
Nov Dec
Month
(a)
Write down the number of days it rained in April.
................... days
One month it rained on exactly 12 days. (b)
Which month?
...................... 2 marks (D/26)
