mathletics tara net junior quiz
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Maths quiz & answers K8 & (TRANSCRIPT
80 people were asked which one of three TV Channels they preferred to watch. Complete the partially filled two-way table below.
BBC 1BBC 1 ITVITV CH 4CH 4 TotalTotal
MaleMale 1616 99 3030
FemalFemalee
1010 2020
TotalTotal 8080
80 people were asked which one of three TV Channels they preferred to watch. Complete the partially filled two-way table below.
BBC 1 ITV CH 4 Total
Male 16 9 30
Female
10 20
Total 80
5
5020
2926 25
Both the numbers shown have been written as a product of their prime factors. What is the highest common factor of the numbers?
900900 540540
22 x 32 x 52 22 x 33 x 5
Both the numbers shown have been written as a product of their prime factors. What is the highest common factor of the numbers?
Both numbers are divisible by 22, 32 and 5. So the HCF = 22 x 32 x 5 = 180
900900 540540
22 x 32 x 52 22 x 33 x 5
180
$140.00
A portable television has 15% off its original price and is on offer in a shop for $140. What was the original price of the television? (nearest $)
$165
If p is the original price of the television then:
0.85p = 140 p = 140/ 0.85 = 165
£140.00
A portable television has 15% off its original price and is on offer in a shop for £140. What was the original price of the television? (nearest £)
0 1 2 3 4 5 6-1-2-3-4-5-6
What is the inequality shown on the number line below? (Use n as the variable)
What is the inequality shown on the number line below? (Use n as the variable)
0 1 2 3 4 5 6-1-2-3-4-5-6
Full circles include the number.
Open circles exclude the number.
Remember:
whereas:
-3 < n 3
ab
The shape below is a regular hexagon. Calculate the angles shown.
ab
The shape below is a regular hexagon. Calculate the angles shown.
Angle a = 60o Angle b = 120o
Exterior angle (a) = 360/6 = 60o
Interior angle (b) = 180 - 60 = 120o
Here is an old recipe for savoury oat cakes for 4 people. How much self raising flower would be needed in a recipe for 20 people?
150 g oatmeal
80 g self raising flour
50 g grated cheese
30 g margarine
10 ml yeast extract
40 ml of boiling water
150 g oatmeal
80 g self raising flour
50 g grated cheese
30 g margarine
10 ml yeast extract
40 ml of boiling water
20 = 5 x 4
So
5 x 80 g = 400 g
Here is an old recipe for savoury oat cakes for 4 people. How much self raising flower would be needed in a recipe for 20 people?
400 g
109876543212019181716151413121130292827262524232221403938373635343332315049484746454443424160595857565554535251706968676665646362618079787776757473727190898887868584838281100999897969594939291
How are the numbers in red related to each other?
109876543212019181716151413121130292827262524232221403938373635343332315049484746454443424160595857565554535251706968676665646362618079787776757473727190898887868584838281100999897969594939291
How are the numbers in red related to each other?
They are all prime numbers.
7n + 2
3n - 1
The heights of the Russian dolls are measured in cm. Find the difference in their heights.
4n + 3 7n + 2
3n - 1
The heights of the Russian dolls are measured in cm. Find the difference in their heights.
7n + 2 - (3n - 1) = 7n + 2 - 3n + 1 = 4n + 3
A
B C
D
Which shapes below are enlargements of
shape A?
A
B C
Which shapes below are enlargements of
shape A?
D
A survey of 120 students asked how they arrived at school one morning. The results are shown in the pie chart.
How many of these students came to school on a bus?
3/8 of 120 = 45
A survey of 120 students asked how they arrived at school one morning. The results are shown in the pie chart.
How many of these students came to school on a bus?
45
Caramel
Milk Chocolate
Strawberry
Beaky offered Prof one of her chocolates from the box. Prof chose one at random. What is the probability that he did not choose a milk chocolate flavour?
Caramel
Milk Chocolate
Strawberry
9/14
9 of the chocolates are not milk chocolate flavoured out of a total of 14 chocolates.
Beaky offered Prof one of her chocolates from the box. Prof chose one at random. What is the probability that he did not choose a milk chocolate flavour?
A class of 30 students consisting of 16 boys and 14 girls sat a test. The mean score for the test was 7.5. If the mean score for the boys was 7.2 calculate the mean score for the girls.
7.2 ?
7.2 ?
Total marks scored on test = 30 x 7.5 = 225
Marks for girls 225 - 16 x 7.2 = 109.8
Mean for girls 109.8/14 = 7.8
A class of 30 students consisting of 16 boys and 14 girls sat a test. The mean score for the test was 7.5. If the mean score for the boys was 7.2 calculate the mean score for the girls.
7.8 (1 dp)
Estimate the size of the angle shown.
a
Estimate the size of the angle shown.
160o
a
Room Only Bed and Breakfast Half Board
No of Nights 7 14 7 14 7 14
March 200 240 225 290 295 430
April 220 260 245 310 315 450
May 240 280 265 330 335 470
June 260 300 285 350 355 490
July 300 400 325 445 395 585
August 350 500 375 550 445 690
The table shows prices in £’s for staying at a guest house in Cornwall between March and August. How much more do you pay for 14 nights Bed and Breakfast in August than in June?
Room Only Bed and Breakfast Half Board
No of Nights 7 14 7 14 7 14
March 200 240 225 290 295 430
April 220 260 245 310 315 450
May 240 280 265 330 335 470
June 260 300 285 350 355 490
July 300 400 325 445 395 585
August 350 500 375 550 445 690
The table shows prices in $’s for staying at a guest house in Tauranga between March and August. How much more do you pay for 14 nights Bed and Breakfast in August than in June?
$200
The cards below are shuffled before being turned over one at a time and placed side by side as shown. In how many different ways can the cards be ordered?
JQK, JKQ, QJK, QKJ, KJQ, KQJ 6
The cards below are shuffled before being turned over one at a time and placed side by side as shown. In how many different ways can the cards be ordered?
The aeroplane below is a scale model of a jumbo jet. The scale used is 1: 250. How long is the real aeroplane?
28 cm
70 m250 x 28 = 7000 cm
The aeroplane below is a scale model of a jumbo jet. The scale used is 1: 250. How long is the real aeroplane?
28 cm
17 18 19 20
22
27
23
28
2421
2625
I am one of a kind, being trapped between a square number and a cube number. Who am I?
17 18 19 20
22
27
23
28
2421
2625
I am one of a kind, being trapped between a square number and a cube number. Who am I?
26 sits between 52 and 33. About 200 years ago the Swiss mathematician Leonhard Euler proved that there is no other number that is 1 more than a square and 1 less than a cube.
Trapezium
Kite
Square
Only one of the quadrilaterals shown has rotational symmetry of order 2. Which one?
Parallelogram
Kite
Square
Parallelogram
Only one of the quadrilaterals shown has rotational symmetry of order 2. Which one? Trapezium
Walk Bus Bike Car
4
8
12
16
20
The bar chart shows how some children came to school on Monday morning. What percentage of pupils came by bus?
Walk Bus Bike Car
4
8
12
16
20
The bar chart shows how some children came to school on Monday morning. What percentage of pupils came by bus?
14 28%
14/50 = 28/100
Jenny has a bag containing an unknown number of beads. The beads are coloured red, green and blue. The probability of Jenny selecting a red or green bead is 0.36
What is the probability of Jenny selecting a blue bead?
Jenny has a bag containing an unknown number of beads. The beads are coloured red, green and blue. The probability of Jenny selecting a red or green bead is 0.36
What is the probability of Jenny selecting a blue bead?
P(blue)
= 1 - P(red or green)
0.64
2 5 3
107 0
1 6 4
?
Input Output
Calculate the Rule for this input/output table.
10 22 14
4230 2
6 26 18Rule
2 5 3
107 0
1 6 4
Input Output
Calculate the Rule for this input/output table.
Rule
x 4 + 210 22 14
4230 2
6 26 18
2n - 3
Input Output
Rule
Calculate the input values from the given output values.
9 15 7
4519 21
17 11 13
Input Output
2n - 3
Rule
9 15 7
4519 21
11 13
Apply the inverse rule to each output value.
Add 3 then halve.
17
6 9 5
2411 12
10 7 8
Red Blue White Silver Black
20 14 10 28 8
Prof did a survey about the colour of cars passing underneath a motor way bridge. He recorded the information in the table below. (a) Estimate the probability that the next car to pass underneath the bridge will be silver. (b) How many black cars would you expect if 300 cars passed underneath the bridge?
Prof did a survey about the colour of cars passing underneath a motor way bridge. He recorded the information in the table below. (a) Estimate the probability that the next car to pass underneath the bridge will be silver. (b) How many black cars would you expect if 300 cars passed underneath the bridge?
(a) Since the table shows a total of 80 cars and 28 are silver, we can use this relative frequency, 28/80 as an estimate for the probability of the next car being silver.
(b) 8/80 = 1/10 and 1/10 of 300 = 30.
RedRed BlueBlue WhiteWhite SilverSilver BlackBlack
2020 1414 1010 2828 88
(a) 28/80 =7/20 (b) 30
Simplify the fractionSimplify the fraction
2 + 4 + 6 + … + 1002 + 4 + 6 + … + 100
3 + 6 + 9 + … + 1503 + 6 + 9 + … + 150
2 / 32 / 3
What is whole number n in the What is whole number n in the equality:equality:
332n-12n-1 = 243 = 243
n = 3n = 3
Knowing that Knowing that
x 3x 3
4 y4 y
evaluateevaluate
xx22yy22 - 44 - 44
=
100100
Find a,b,c as whole numbers to check Find a,b,c as whole numbers to check the relationshipthe relationship
a + 1 b + 2 a + 1 b + 2 5 5
4 3 c + 34 3 c + 3= =
a = 3, b = 1, c = 2a = 3, b = 1, c = 2
Three shops sell notebooks at the same Three shops sell notebooks at the same price. The first shop increased the price. The first shop increased the price by 20% and then decreased the price by 20% and then decreased the price by the same percentage. The price by the same percentage. The second shop decreased the price by second shop decreased the price by 20% and then increased the price by 20% and then increased the price by the same percentage. The third shop the same percentage. The third shop left the price unchanged. Where would left the price unchanged. Where would you buy your notebook from and why?you buy your notebook from and why?
One of the two shops that changed the One of the two shops that changed the price, the shop that did not change price, the shop that did not change the price is the most expensivethe price is the most expensive