Year 6 Maths Sample Test, Summaries of Mathematics

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Year 6 Maths

Sample Test

Time allowed: 45 minutes

Name: ________________________________

INSTRUCTIONS :

 Answer all questions  Answers should be written in the spaces provided

Year 6 KEY OBJECTIVES ASSESSED

Order a mixed set of numbers with up to three decimal places. Reduce a fraction to its simplest form by cancelling common factors. Use a fraction as an operator to find fractions of numbers or quantities (e.g. 5/8 of 32, 7/10 of 40, 9/100 of 400 centimetres). Understand percentage as the number of parts in every 100, and find simple percentages of small whole-number quantities. Solve simple problems involving ratio and proportion. Derive quickly division facts corresponding to multiplication tables up to 10 x 10.

Carry out short multiplication and division of numbers involving decimals.

Carry out long multiplication of a three-digit by a two-digit integer. Use a protractor to measure acute and obtuse angles to the nearest degree.

Calculate the perimeter and area of simple compound shapes that can be split into rectangles.

Read and plot co-ordinates in all four quadrants.

Identify and use the appropriate operations (including combinations of operations) to solve word problems involving numbers and quantities, and explain methods and reasoning.

Solve a problem by extracting and interpreting information presented in tables, graphs and charts

__

3. a) Write out these decimal numbers in order from the lowest to the highest.

1

b) What number does the arrow indicate?

1

4. Put a ring around the fraction which is equivalent to 3

1

5. Put a ring around the fraction which is equivalent to 40 60

6. Write a fraction in the boxes to complete the sentence.

1 < < 2 (^2 3) 1

7. Write out these quantities in order from lowest to highest.

0.5kg 400g ¼kg 0.6kg ⅔kg 1

8. Calculate

¼ of 36 = 1 of 28 = 7 4 ⅝ of 32 = 7 of = 35 10

MONEY AND MEASURE PROBLEMS – NO CALCULATOR

pen £ 2.

Show your working

CD £ 10. T-shirt £ 5.

a) How much would a pen and a T-shirt cost? (^) 1

b) How much would three CDs cost? (^) 1

c) How many pens could you buy for £ 20? 1

d) If you bought 3 pens and 2 T-shirts, how much change would you receive from £ 20? 1

13. This chart shows temperatures recorded at noon for some world cities. City Temperature Sydney 28ºC Paris 12.5ºC London 9ºC Oslo 8ºC Moscow - 8 .5ºC

a) Which two cities have a difference in temperature of 21ºC? (^) 1

and

b) How much warmer is Oslo than Moscow? ºC^^1

HANDLING DATA

14. SCHOOL SURVEY

CLASS BOYS GIRLS TOTAL

Reception 15 15? Y1 17 12 29 Y2 14 15 29 Y3 17 16 33 Y4? 13 29 Y5 11 21 32 Y6 18 14 32 TOTAL 108??

a) Complete the chart.^3

b) One day one eighth (⅛) of Y6 were absent. How many children in Y6 were present? children^1

22

15. CURRENCY CHART

(currency conversion – Pounds and Hong Kong Dollars

60 50

40

Pounds 30

20

10 (^0 100 200 300 400 500 ) Dollars £1 can be exchanged for 9.7 dollars

a) How many dollars could be exchanged for £50?

1

b) How many pounds could be exchanged for 291 dollars?

1

c) Look at the graph. Approximately, how many dollars could be exchanged for £17?

1

17 a) Look at the Diagram SHAPE AND SPACE

5

-5 -

4 3 2 1

-3 -2 -1 (^) -1^0

**-

-**

1 2 3 4 5

 The points (-1, 1), (2, 5) and (6, 2) are three of the four vertices of a square. Plot the co-ordinates on the grid.

What are the co-ordinates of the fourth vertex? 1

b) Look at the diagram

B (10,12)

C ( ----,---- )

A (2,3)

2 C is halfway between A and B. What are the co-ordinates of C?

18. Tick the shape with only one pair of parallel sides.

1

This Shape is rotated through 90 anti-clockwise

Tick the shape that shows the new position.

1

b) (^) - 370 = 237

c) 17

x (^) = 1156

d) (^) ÷ 13

e)

÷ = 8.

f) 47.23 x (^) = 661.

SOLVING PROBLEMS USING A CALCULATOR

a) 1276 + = 2127

6

24. 1827 people buy tickets to watch a rugby match. Each ticket costs £ 9.50. What is the total amount of ticket money collected? 1
25. Programmes cost £ 1.25 each. The total money from programme sales is £1096.25. How many programmes were sold?

1

26. Pencils are 16.4 cm long. How many pencils can be cut from a length 20 metres long?

1

VEHICLE COST OF WORK VAT CHARGED

AT 20 %

TOTAL

BILL

Car £ 100 £ 20.0 0 £ 120. 00 Van £ 120 Mini-bus £ 150 Coach £ 190

27. Train carriages hold 86 passengers. How many carriages would a train need in order to seat 1500 passengers?

1

28. Pencils weigh 7.3 g each. What would be the mass of 580 pencils?

1

29. Small bags of flour weigh 250g. How many bags can be made from 90kg of flour?

2

30. There are 225 children in a school. 3 of them are girls. 5 How many boys are there? 1

Joe’s Garage

Joe has to add Value Added Tax (VAT) to all bills. 20% of the bill is added to pay for VAT.

Complete the chart below to work out the total bills.

3