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Worksheets3A Easter Revision Quiz
Total questions: 114
Worksheet time: 3hrs 24mins
Which of these is the correct definition of lower bound?
the largest value that a number can be (to a specified degree of accuracy)
the smallest value that a number can be (to a specified degree of accuracy)
the range of values (between the upper and lower bounds) in which the precise value could be.
Write down the upper bound of 12.7cm when it is rounded to 1 dp.
12.75
12.65
13
12.8
Which of these is the correct definition of error interval.
the range of values (between the upper and lower bounds) in which the precise value could be.
the smallest value to a degree of accuracy
the middle number in the equation
the largest value to a degree of accuracy
What is the error interval for 5.27 seconds rounded to 2 decimal places (2dp)?
5.26≤t≤5.27
5≤t<7
5.265≤t<5.275
5.2≤t≥5.28
What is 2/3 + 4/5?
1 7/15
1 5/6
12/65
1 2/3
Change the following recurring decimal into a fraction.
Simplify your answer if possible.
7/9
77/99
2/3
7/99
Change the following recurring decimal into a fraction.
Simplify your answer if possible.
13/33
34/99
4/11
12/33
0.012
0.12
1.2
12
340000
340
3400
34000
4.2 × 10-5
4.2 × 106
4.2 × 10-7
4.2 × 10-6
Evaluate...
(4 × 103) × (8 × 1011)
32 × 1014
3.2 × 1014
32 × 1015
3.2 × 1015
Evaluate...
(3 × 10-2) × (6 × 109)
18 × 107
1.8 × 108
18 × 1011
1.8 × 1012
Evaluate...
(3.2 × 1010) ÷ (2 × 1015)
1.6 × 10-5
2.1 × 10-25
1.6 × 10-25
2.1 × 10-5
Calculate
(6 × 102) + (3 × 103)
Give your answer in standard form.
3.6 × 102
3.6 × 103
3,600
9 x 105
Write the answer in scientific notation.
5.3 x 105 + 3.7 x 105 =
99.0 x 105
9.9 x 1010
8.0 x 105
9.0 x 105
What is the reciprocal of 1/4
1
4/1
2
What is the reciprocal of 2/5
2/5
4
5/2
What is the reciprocal of 7
(a)
3p(4p - 7q)?
Expand and simplify the following quadratic expression...
(x + 3)(x + 2)
x2 + 5x + 6
x2 + 5x + 5
x2 + 6x + 6
x2 + 6x + 5
Expand and simplify the following quadratic expression...
(x - 8)(x + 8)
x2 + 16x - 64
x2 + 16x + 64
x2 - 16x + 64
x2 - 64
25a2 – 50ab is equal to
25a (a – 2b)
5a (5a – 10b)
50a (2a – b)
121x2 – 625y2 is equal to ____________________
(11x – 25y)2
(25x – 11y)2
(11x + 25y) (11x - 25y)
(25x + 11y) (25x - 11y)
Factorise the following quadratic expression...
x2 + 13x + 40
(x + 8)(x + 5)
(x + 10)(x + 4)
(x + 20)(x + 2)
(x + 40)(x + 1)
s=4hm Make m the subject of the formula
m=h4s
m=4sh
m=4sh
m=4hs
Express v in terms of t
t=4v+1
v=4(t−1)
v=4(t+1)
v=4t−1
v=4t+1
P=6x+2 Express x in terms of P.
x=p−31
x=6p−31
x=6p+31
x=6p−2
Find a formula for the perimeter of the rectangle.
3x+1
6x+2
2x2+1
2x2+x
Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. She made a total of $96 last week. Which equation models this situation?
96h + 15 = 8
h/96 = 8
8h + 15 = 96
h/8 = 96
The formula d=16t2 represents the distance d, an object falls in t seconds, where d is in feet. Find the distance an object that drops in 3 seconds.
144
96
166
128
Find the missing term in the geometric sequence: 8, 20, 50, 125, _____.
75
200
250
312.5
3,5,7,9...
2,1,0,-1...
At a birthday party 40% of the children had an ice-cream. 150 children attended the party. How many had an ice-cream?
60
70
80
90
At a sport club 40% prefer football, 30% basketball and the rest volleyball. 300 children attend this sport club. Find the number of those who prefer volleyball.
70
80
90
100
3) The cost of a holiday, including VAT at 20% is £540. What is the pre-VAT price?
£648
£450
£675
£432.80
10) An insurance company offers a no-claims discount of 55% for drivers who have not had an accident for four years. If the discounted premium for such a driver is £334, how would the driver have paid before the discount?
£742.22
£408.22
£183.70
£517.70
Which equation is not an example of direct proportion?
y = x
y = 3x
y = - 6x
y = 2/3 x + 5
A recipe for pastry requires 180g of sugar to make 540g of pastry. How many grams of sugar will be needed to make 5400g of pastry?
(a)
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
35
18
60
50
Which graph represents an inverse proportion relationship?
6 men can paint a building in 15 days. Find the number of days taken for 5 men to paint the same building.
10
14
18
22
If 8 men can assemble 28 cars in one day, how many cars can 20 men assemble in one day?
60
70
80
90
Divide 720kg in the ratio 5:3
300kg:420kg
400kg:320kg
450kg:270kg
420kg:300kg
If $35 is divided into the ratio 2 : 3 : 2, how much is one ratio part worth?
$7
5
$35
$5
Krystal has $3000 invested at a 2% interest rate. Which expression can be used to determine how much money Krystal had after 16 years?
A=3000(1+.02)16
A=3000(1−.02)16
A=16(1+.2)3000
A=3000(.2)16
Steve deposited $5,000 in a savings account that pays 4% interest compounded annually.
Which equation could be used to find the value of the account after 3 years?
A = 5,000(1 + 4)3
A = 5,000(1 + 0.04)3
A = 5,000(1 + 0.4) x 3
A = 5,000(0.04)3
A farm that costs $987,000 depreciates by 12% each year. What is its value after 10 years?
$82,274.11
$98,700
$274,880.46
$306,574
A man bought a car for $60,320. After using it for 2 years, he decides to trade in the car. The company estimated a depreciation of 10% for the first year of its use and a further 15% on its reduced value for the second year. Calculate the value of the car after two years.
(a)
126, 118, 119, 117, 126, 127, 118, 124
4, 9, 8, 3, 7, 10
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?
The diagram shows the ages of a group of people.
How many people are there in the group?
44
29
12
16
The diagram shows the heights of Mr Pearce's plants
How many plants have a height of 14cm?
1
4
5
3
How many scores were 26 or below?
10
20
5
25
What is the missing number in the cumulative frequency column?
19
9
15
22
When plotting a cumulative frequency graph for grouped data, we should plot the points
At the bottom of each group (far left on the x axis)
In the middle of each group
At the top of each group (far right on the x axis)
Find the mean.
10
20
30
40
135 in2
54 in2
130 in2
125 in2
About how many square centimeters of tissue paper are needed to make one liner?
What is the green area called?
sector
segment
arc
section
What is the length L called?
circumference
tangent
arc
sector
Find the scale factor of the enlargement from A to C
2
0.5
3
4
Describe the transformation that takes the yellow shape to the blue shape...
Enlargement
Scale Factor: 3
Centre: (0,0)
Enlargement
Scale Factor: 1/3
Centre: (0,0)
Enlargement
Scale Factor: -3
Centre: (0,0)
Enlargement
Scale Factor: 1/3
Centre: (3,0)
Shape ABCD has been enlarged by, scale factor 2 from the centre (1,1).
What mistake has been made?
The centre of enlargement isn't (1, 1)
The shapes can't end up on top of each other
The whole shape isn't double the size of the original
Nothing - this is correct
Which trigonometric ratio should you use?
Tangent Ratio
Sine Ratio
Cosine Ratio
Any ratio
Which trigonometric ratio should you use?
Tangent Ratio
Sine Ratio
Cosine Ratio
Any ratio
Find h1
6.69 ft
11.11 ft
9.00 ft
7.43 ft
There are 12 red roses, 5 yellow roses and 3 white roses in a vase. Felix takes a rose, at random, from the vase.
What is the probability of him not choosing a red rose?
2012
208
128
125
Leon throws a biased coin. The probability of getting tails is 0.4.
Work out the probability of getting heads.
0.4
0.6
0.8
0.2
Wycombe Wanderers play a match of football. The probability that they win the match is 0.28. The probability that they draw the match is 0.55.
Work out the probability that they lose the match.
0.45
0.72
0.83
0.17
There are 10 counters in a bag, 3 red and 7 blue.
I take one counter, then another without replacement.
Find the probability of picking two red counters.
6/90
5/19
47/90
2/9
Identify the shaded area...
A
B
A'
B'
Identify the shaded area...
A∩B
A∪B
A'∩B'
A'∪B'
Identify the shaded area...
A'∩B
A∩B'
A∪B'
A'∪B
Given the following VENN Diagram answer the following.
P( A | B )
2
.4
.6
.8
45% total of the children in a school have a dog, 30% total have a cat, and 18% have a dog and cat. What percent of those who have a cat also have a dog?
60%
40%
24%
1.7%
