Transcript 2010_herts_yr5_challenge - Hertfordshire Grid for Learning

Year 5
Hertfordshire
Mathematics Challenge
2010
Fran Bradshaw and Samantha Burns
County Mathematics Advisers
The Format
 Round 1: Team Round with 6 questions
 Round 2: The memory round
Break
 Round 3: The estimation round with 6
questions
 Round 4: Team round 4 with 6 questions
Team Rounds
 Team rounds will consist of 6 questions
 No marks will be lost for an incorrectly
answered question
 Teams may work together on all
questions
Round 1
Team Round 1
Question 1
Add half of 170 to a quarter of 140
Team Round
Question 2
If the exchange rate for £1 is
€1.14
How many Euros will you get for
£40?
Team Round
Question 3
There is enough toothpaste in a tube to
last one person from the morning of
January 1st to the evening of March 1st
2010. But if a family of 4 were
brushing their teeth, how many days
would the toothpaste last?
Team Round
Question 4
If 80% of the cost of an item
is £8.80, what is the cost of
the item?
Team Round
Question 5
 What is the next term in the following
sequences?





1, 2, 4, 7, 11, 16, ...
49, 36, 25, 16, 9, ...
2, 3, 6, 11, 18, 27, ...
M, T, W, T, F, ...
O, T, T, F, F, S, S, E, ...
Team Round
Question 6
What is 4 to the power of 4?
Round 2 - Memory
Memory Puzzle
 We have hidden a picture of a mathematical puzzle. Two
people from each team will take turns to view them. They
must remember as much as possible so that they can
describe it to other team members, who will try to make
their own copy.
 Only two from each team will be allowed to draw the
puzzle. The two people who come out to look at the
puzzles will not be allowed to draw anything.
 Please decide who is drawing and who is observing and
describing.
Memory Puzzle
 There will be 3 opportunities to view the picture:
 Each observer will see the first part of the picture once
on their own.
 Then there will be one chance for both observers to
see the whole puzzle.
Remember! Observers are not allowed to draw anything or
use their hands in any way when explaining!
Memory Puzzle
 You will be given between 20 and 30 seconds each time to look at the
picture and remember as much as you can.
 When you return to your table you will have 1 minutes to tell your team-
mates what to draw.
 Use the paper and pencils to make as many notes and drawings as
you wish. At the end of this round we will take in ONE piece of paper
from each team which should have the whole picture on it.
 There will be bonus marks if you can answer a question based on the
puzzle.
Memory Puzzle
 Each team should hand in ONE sheet of
paper.
 Please make sure that the name of your
school is on your paper!
 Now total all the numbers on your grid
 Can you give me the largest prime
number on the grid?
 What is the smallest triangular number
you can see?
 Give me a cubed number below 10
 Give me 2 numbers with 6 factors
Break
Round 3
The Estimation Round
 There will be six estimation questions.
 Two marks will be awarded for an answer
that is exactly right.
 One mark will be given for estimates that are
close to the correct answer.
Estimation Round
Question 1 How many billiard balls?
Estimation Round
Question 1 How many billiard balls?
Estimation Round
 Question 2
Estimate the time in seconds between the
START and the STOP signs…
START
STOP
Estimation Round
Question 3a
•Estimate the perimeter of the large star
that you have been given
Question 3b
•Estimate the perimeter of the small star
that you have been given
Give your answer in cm
Estimation Round
Question 4
Estimate the length of these 5 hexagons
Give your answer in mm (rounded to the
nearest 10)
Estimation Round
Question 5
You are being shown a plastic bottle.
Estimate the amount of liquid it holds.
Give your answer in millilitres.
Estimation Round
Question 6

Look at this pack of Smarties.
 Estimate the weight of the Smarties inside.
Team Round 4
Team Round 4
Question 1
Two-fifths of 17 is
between
4 and 5.
5 and 6.
6 and 7.
7 and 8.
Team Round
Question 2
A bag of peanuts weighs 40g.
How many bags would weigh
exactly 1 kg?
Team Round
Question 3
 Which two of the following have the
same value.
2/5
0.25
45%
0.04
20%
4/5
0.404
40%
Team Round
Question 4
You have the following 5 cards.
1
2
4
7
8
Use them all only once with any
operation to make the number
23
Team Round
Question 5
A rectangular field has an
area of 42cm², what might the
perimeter be? How many
different perimeters can you
find? (Use whole numbers only)
Team Round
Question 6
What is 4128 x 25?
Well Done!
Congratulations
to everyone who has taken part
in the
Hertfordshire Year 5
Mathematics Challenge Heats
2010.
Tie breaker
120÷7 =
Round your answer to 3 decimal places
You have 30 seconds.
17.143