interactive voting - 1995 maths paper b
DESCRIPTION
An interactive voting lesson designed for use with Qwizdom Classroom Response SystemsTRANSCRIPT
1995 MATHSPAPER B
1995 Mathematics Paper BInput your name and press send.
Next Page
1a. Here is a table of the number of stamps used each day in school.
Next Page
1995 Mathematics Paper B1995 Mathematics Paper B
M onday Tuesday W ednesday Thursday Friday
19p
25p
30p
35p
50p
22
8
6
6
6
11
17
0
0
0
14
4
2
6
2
32
6
8
1
12
13
19
4
0
3
How many 25p stamps did the school use on Wednesday?
1. Here is a table of the number of stamps used each day in school.
Next Page
1995 Mathematics Paper B1995 Mathematics Paper B
M onday Tuesday W ednesday Thursday Friday
19p
25p
30p
35p
50p
22
8
6
6
6
11
17
0
0
0
14
4
2
6
2
32
6
8
1
12
13
19
4
0
3
This is a graph of one kind of stamp they used.
Num berof
stam ps
M onday Tuesday W ednesday Thursday Friday
10
8
6
4
2
0
1b. What was the value of the stamp In pence?
Q2. In this block, the pairs of numbers joined together have a difference of 7.
Choose one more pair of numbers which has a difference of 7.
1995 Mathematics Paper B1995 Mathematics Paper B
9 2 12
6 7 14
13 30 15
18 12 8
Next Page
Answer key
Q2. In this block, the pairs of numbers joined together have a difference of 7.
Choose one more pair of numbers which has a difference of 7.
1995 Mathematics Paper B1995 Mathematics Paper B
9 2 12
6 7 14
13 30 15
18 12 8
Next Page
Q3. Numbers are missing on four of these calculator buttons.Write in numbers to make the answer 47.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
4 7 _ + = 47
Q4a. On sports day children get points for how far they jump.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
Teaching Slide
Standing Long Jum p
O verO verO verO verO ver
O ver
80cm 1 poin t100cm 2 poin ts120cm 3 poin ts140cm 4 poin ts160cm 5 poin ts
180cm 6 poin ts
Joe jumped 138cm.How many points does he get?
Sam said, “I jumped 1.5 metres. I get 4 points”.Give a reason why Sam is correct.
Q4. On sports day children get points for how far they jump.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
Standing Long Jum p
O verO verO verO verO ver
O ver
80cm 1 poin t100cm 2 poin ts120cm 3 poin ts140cm 4 poin ts160cm 5 poin ts
180cm 6 poin ts
Joe jumped 138cm.How many points does he get?
1 point 2 points 3 points 4 points 5 points
80cm 100cm 120cm 140cm 160cm 180cm
138 cm
Q4b. On sports day children get points for how far they jump.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
Standing Long Jum p
O verO verO verO verO ver
O ver
80cm 1 poin t100cm 2 poin ts120cm 3 poin ts140cm 4 poin ts160cm 5 poin ts
180cm 6 poin ts
Each child puts a cross on a line to show how far they jumped.Sam puts her cross at 1.5 metres.
Lynn jumps 1.14 metres.Put a cross on the line for Lynn’s jump.
0 1m etre
2m etres
3m etres
S am
1995 Mathematics Paper B1995 Mathematics Paper BQ5a. Beth sells comics.
M agna
P op
S igna
M indy
costs
costs
costs
costs
25p
14p
16p
19p
Ali buys one Magna and one Mindy. He gives Beth 50p.
How many pennies change will he get?
25p + 19p = 25p
+19p
= 44p
50p – 44p
06p
Next Page
1995 Mathematics Paper B1995 Mathematics Paper B
Q5b215 people go to the sale.It costs 15p each to go in.
Work out how much they pay altogether – answer in pence.
2 marks for the correct answer.
1 mark for working out.
Next Page
XL File
• Q6
• Raj thinks of a number.He says
• “If I subtract 14 from it, I get 29.”
• What is Raj’s number?
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page - Teaching slide
• Q6• Raj thinks of a number.
He says• “If I subtract 14 from it, I get 29.”• What is Raj’s number?
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
Keep It Simple Stupid!
? – 14 = 29
? – 3 = 2
What is ?
What did you do with 3 and 2 to know that ? = 5
You went 3 + 2 = 5 so…
14 + 29 = ?
14 + 29 = 43
• Q7 Which symbol in the circle +, –, *, or ÷ would make the calculation correct?
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page - Teaching slide
18 x3 5 = 30
A. +
B. -
C. *
D.÷
• Q7 1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
Keep It Simple Stupid!
? * 5 = 30
What is ? (18 0 3) It must be 6.
So 18 0 3 = 6
18 + 3 = 21
18 – 3 = 15
18 * 3 = plenty
18 ÷ 3 = 6
Missing operation = ÷
18 x3 5 = 30
1 cm
1 cm
Q8a. Here are two shapes made with centimetre squares.
Each shape has 5 squares.Write ONE other thing which is the same about the two shapes.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page Answer Key
1 cm
1 cm
Q8. Here are two shapes made with centimetre squares.
Each shape has 5 squares.Write ONE other thing which is the same about the two shapes.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
(a) A mathematical criterion such as:· “They are symmetrical.”· “Each has three squares across.”· “Both have the same perimeter.”· “They have 4 joined-on lines.”· “They have the same area.”
Do not accept criteria which are implicit in the fact that the shapes are made from cm squares, eg:
·“They have straight edges.”
1 cm
1 cm
Q8b. Here are more shapes made with centimetre squares.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
E F G H
A B C D
Which shape has a perimeter of 10cm?
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
Q9a. Children in Year 6 make number patterns.This group uses the rule ‘2 less than’.
What is the missing number?
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page Teaching slide
Q9b. This group uses the rule ‘divide by 3’.What is the missing number?
• Q9 1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
Keep It Simple Stupid!? ÷ 3 = 54
Simple version: 6 ÷ 3 = 2
What would you do with 3 and 2 to make 6? 3 * 2 = 6
Switching things around then 3 * 54 = ?
3 * 54 = 162
Check 162 ÷ 3 = 54
Q10 On the grid, draw the reflection of the shape in the mirror line.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
Teaching slide
m irror line
Q10 On the grid, draw the reflection of the shape in the mirror line.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
m irror line
Q11 What are the missing numbers?
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
2 8
+ 2 9
5 5 5
What is this number?
Q11 What are the missing numbers?
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
2 8
+ 2 9
5 5 5
What is this number?
XL File
Q12a Here is a map of an island.Estimate the area of the wood.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
W ood
Church
Lighthouse
Cave
Write on the board
Q12b A boat can safely carry 145 kilograms.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
Answer key.
Work out if the boat can safely carry Mary and Bob
Nam e M ary Ann John Bob H uw K ate
W eight in kg 59.5 41.1 39.8 80.3 28.2 32.1
Q12b A boat can safely carry 145 kilograms.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
Nam e M ary Ann John Bob H uw K ate
W eight in kg 59.5 41.1 39.8 80.3 28.2 32.1
(b) Correct addition of 59.5 and 80.3 to make 139.8
OREstimation such as 60 + 81 <145.
No mark is awarded for drawing a conclusion. The mark is awarded for correct calculation even if conclusion is wrong.
Q13a
427 children visit a castle.They go in groups of 15. One group has less than 15.
Every group of children has one adult with them.How many adults will need to go?
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
Q13bMr Todd buys 7 drinks at 48p each and 8 drinks at 52p each.
What is the total cost of the 15 drinks?You must show your working.
Answer like this:
3.21(2 Marks)
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page XL File
Q14 Rob runs 100 metres ten times.These are his times in seconds.
13.413.5
13.014.0
13.914.4
13.713.8
13.314.0
What is his mean (average) time?
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
XL File
Q15. Write in the missing digit.
The answer does not have a remainder.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
3
2 6
8
Q16. Here is a triangular box.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
Answer Key
4 cm
3 cm
Here is part of the net of the box, but two of its faces are missing.Draw accurately on the board, full size, ONE of the missing faces on the diagram below.You can use a ruler and protractor (angle measurer).
Q16. Here is a triangular box. 1995 Mathematics Paper B1995 Mathematics Paper B
Next Page 4 cm
3 cm
(a) Award ONE mark for correct position of triangle as shown in oneof the diagrams below.(b) Award ONE mark for accurate drawing of one triangle with right angle(90° ± 2.5°) AND length of lines as indicated ± 2mm.
3 3
3 3
4
4 4
4 5
5 5
5
No marks awarded for triangles not attached to main stem.
Q17a. Ann makes a pattern of L shapes with sticks.Ann says : “I find the number of sticks for a shape by first multiplying the
shape-number by 4, then adding 3”.Work out the number of sticks for the shape that has shape-number 10.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
Shape–num ber: Num ber of sticks: 7 11 15
1 2 3
Q17b. Ann makes a pattern of L shapes with sticks.Ann says : “I find the number of sticks for a shape by first multiplying the
shape-number by 4, then adding 3”.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page Shape–num ber: Num ber of sticks: 7 11 15
1 2 3
Ann uses 59 sticks to make another L shape in this pattern.What is its shape-number?
XL File
Q17c. Here is Ann’s rule again:“I find the number of sticks for a shape by first multiplying the shape-number by 4, then adding 3”.
Write a formula to work out the number of sticks for any L shape.Use S for the number of sticks and N for the shape-number.Ann makes a
pattern of L shapes with sticks.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
Answer Key
S =
Q17c. Here is Ann’s rule again:“I find the number of sticks for a shape by first multiplying the shape-number by 4, then adding 3”.
Write a formula to work out the number of sticks for any L shape.Use S for the number of sticks and N for the shape-number.Ann makes a pattern of L shapes with
sticks.
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
(c) Award TWO marks for expressions such as: up to 2· S = 4N + 3· S = 3 + 4N· S = N + N + N + N + 3
If the answer is incorrect, award ONE mark for evidence of multiplying N by 4in the expression, eg:
· 4N· 4 × N· N.4· N + N + N + N
OR award ONE mark for evidence of adding 3 in the expression, eg:· N + 3
Do not accept S = × 4 + 3 = N up to 2
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
Answer Key
Q18a.Some children work out how much money two shopkeepers get from selling fruit. They use pie charts to show this.
bananas
bananas
oranges
oranges
peaches peachesapples
apples
M rs B inns M r A dam s
Mrs Binns gets £350 selling bananas.Estimate how much she gets selling oranges.
XL File
1995 Mathematics Paper B1995 Mathematics Paper B
Next Page
Q18a.Some children work out how much money two shopkeepers get from selling fruit. They use pie charts to show this.
bananas
bananas
oranges
oranges
peaches peachesapples
apples
M rs B inns M r A dam s
Mrs Binns gets £350 selling bananas.Estimate how much she gets selling oranges.
(a) Award ONE mark for an answer in the range £85 to £125, inclusive.
XL File
1995 Mathematics Paper B1995 Mathematics Paper B
End of test
Q18b.
Mrs Binns gets a total of £1000 and Mr Adams gets a total of £800.How much more does Mrs Binns get than Mr Adams for selling peaches?
bananas
bananas
oranges
oranges
peaches peachesapples
apples
M rs B inns M r A dam s
XL File