Maths (sequences, negative numbers, area and decimals). Flashcards
Learn about how numbers can influence so many things in our everyday lives.
1
Q
-3 x -3 =
A
9
2
Q
-4 x 2 =
A
-8
3
Q
What is the term to term rule for this sequence: 7,9,11,13,15
A
Add 2
4
Q
What is the nth term in this sequence: 8,14,20,26,32
A
6n + 2
5
Q
What is the nth term for this sequence: 14, 11,8,5,2
A
-3n + 17
6
Q
Fill in this sentence: The Fi___a__i sequence often appears in n_t__e
A
The Fibonacci sequences often appears in nature.
7
Q
Finish this sentence: Pas___s tr______e is a se___nc_ that is commonly used.
A
Pascal’s triangle is a sequence that is commonly used.
8
Q
Is 15 a triangular number?
A
Yes.
9
Q
How do you square a number?
A
Multiply it by itself. Eg. 4 squared (shown as a small two above a number) is 16 because 4x4=16
10
Q
Is 64 a square number?
A
Yes because 8x8=64.
11
Q
What are the four triangular numbers below 10?
A
0,1,3 and 6.
12
Q
What is the third square number?
A
9 because 3x3=9.
13
Q
What’s the tenth square number?
A
100 because 10x10=100.
14
Q
What is the second triangular number?
A
Three.
15
Q
What is area?
A
The space inside of a 2D shape.
16
Q
What is volume?
A
The inside space of a 3D shape.
17
Q
What is the area of a square if one side is 10cm?
A
100cm2
18
Q
What is perimeter?
A
The outside of a 2D shape- a bit like a fence.
19
Q
What is surface area?
A
Don’t be tricked- it isn’t the area of a 3D shape, it’s sort of like the perimeter. It’s measuring the parts you can touch (3D shapes only).
20
Q
Why does the formula lw solve for?
A
The area of a rectangle and parallelogram.
21
Q
How do you find the area of a rectangle?
A
Lw
22
Q
What does lw mean?
A
It is algebra for length x width.
23
Q
How do you solve the area of a triangle?
A
1/2 x h x b
24
Q
What does 1/2 x h x b solve?
A
The area of a triangle.
25
What do you ABSOLUTELY HAVE to remember when finding the area of something?
It’s not just the height. It HAS to be perpendicular to the base
26
What does 1/2 x h x b mean?
The perpendicular height x base halved.
27
How do you calculate the area of a parallelogram?
It’s the same as a rectangle, lw or in other words, bh ( base x height ).
28
How do you calculate the area of a trapezium?
(a+b) x h x 1/2
29
Why do you use that particular formula to work out the area of a trapezium?
Because when you do a+b, you are essentially doubling the trapezium to make a parallelogram. Because you only need to do b x h for parallelogram, you’ve already got your base (a+b) x the height (whatever it says it is). Then because you doubled it before, half it.
30
What can you use (a+b) x h x 1/2 to calculate the area of?
A trapezium.
31
How do you find the area of a compound shape?
Break it down into smaller shapes you can find the area of, and then add them back together.
32
If a rectangle’s length was 4cm and its width was 8cm, what would the area be?
32cm squared.
33
What is an equilateral triangle?
A triangle with the same length edges and the same angles.
34
What is ALWAYS the inside angle of an equilateral triangle?
60 degrees. ALWAYS
35
How do you find the volume of a cube?
Do the length x width x depth
36
What is depth when you talk about volume in a 3D shape?
How far back it goes.
37
What is width?
The vertical line sort of on a 2D shape (sometimes 3D but it depends on what shape).
38
What is length?
The horizontal line sort of on a 2D shape (sometimes 3D but it depends on what shape).
39
How do you find the volume of a cuboid?
Length x width x depth.
40
How do you find the surface area of a shape?
Add up the areas of the different sides. For example, in a cube which’s length was 1, width was 1 and depth was 1, then I would do each of the sides. Bottom= 1x1=1 Top=1x1=1 Left=1x1=1 Right=1x1=1 Front=1x1=1 Back=1x1=1
Add those together… 1+1+1+1+1+1 (it doesn’t matter in which order) = 6
41
When do you add up the area of each side?
When you want to find the surface area of a shape.
42
How do you do a decimal number divided by a single digit whole number? Eg. 3.784 divided by 2?
Use bus stop method.
43
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What is 2.5 x 3?
7.5
44
What does s.f. mean?
Significant figures.
45
What is a significant figure?
A digit that isn’t 0 basically.
46
Round 4.856 to 1 d.p.
4.9
47
What does d.p. mean?
Decimal place
48
Round 73.510 to 3 s.f.
73.5
49
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What is 8.9 x 4?
35.6
50
How do you do 6.3 x 9?
Use column method BUT ONLY IF THE NUMBER YOUR MULTIPLYING BY IS 1 DIGIT
51
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What is 6.3 x 9?
56.7
52
Round 3.14159 to three s.f.
3.14
53
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What is 3.89 x 6.2?
24.118
54
How do you do a calculation with two decimal numbers? For E.g.
4.73 x 17.592
Multiply the decimals until they are whole numbers then multiply the whole numbers together using long multiplication. Finally, divide that by however much you multiplied it by at the beginning.
55
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What is 4.37 x 18.592?
81.24704
56
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5.36 + 8.73
14.09
57
Multiply the following numbers by 10:
A) 2.1
B) 24
C) 87.65
D) 303
E) 0.395
A) 21
B) 240
C) 876.5
D) 3030
E) 3.95
58
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What is 0.9 x 7
6.3
59
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Write these numbers in decimal form and then put them in descending order.
Zero point three five
Fifty hundredths
One tenth
Seventy-two hundredths
Nought point nought seven
Nought point nought three
Two hundredths
1) Zero point three five 0.35
2) Fifty hundredths 0.5/0.50
3) One tenth 0.1
4) Seventy-two hundredths 0.72
5) Nought point nought seven 0.07
6) Nought point nought three 0.03
7) Two hundredths 0.02
4, 2, 1, 3, 5, 6, 7.
60
Write the value of the 4 in each of these numbers:
34,601
3.46
43.6
3.64
14.63
4,000
0.4
40
0.04
4
61
Write these numbers into digits:
Seven thousands
Seventeen thousands
Seventy thousands
Seven hundred thousands
7,000
17,000
70,000
700,000
62
Mark the approximate positions of 7.45, 7.48 and 7.452 on this number line:
7.4-|-|-|-|-|-|-|-|-|-7.5
7.4-|-|-|-|-|-|-|-|-|-7.5
b a c
A= 7.45
B= 7.425
C= 7.48
63
Put these decimals in ascending order:
60.8
62.95
6.37
0.689
6.4
60.02
6.13
0.689
6.13
6.37
6.4
60.02
60.8
62.95
64
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12.3 x 4.865
59.8395
65
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5.81/3
1.93666667
66
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…x0.2=9.8
49
67
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7.28 x 2=
14.56
68
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1.9 x 3=
5.7
69
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8.47 x 5
42.35
70
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1.6 / 2
0.8
71
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0.9 / 3
0.3
72
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A piece of string is 4.8m long. The string is cut into 8 equal pieces. Work out how long each piece is.
0.6m or 60cm.
73
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Circle the answer to 40 x 0.3
1200 120 12 1.2
12
74
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9.35 / 5
1.87
75
Test yourself- https://corbettmaths.com/wp-content/uploads/2024/11/Decimals-Multiplying-Dividing.pdf
Hope they help- you can do practice tests.
76
What is the mean?
The result if all the values were shared evenly, calculated by dividing the total by the number of all the values.
77
How do you calculate the mean?
Find the total and divide by the number of all the values.
78
What is the median?
The middle value when all the values are ordered from smallest to largest.
79
How do you find the median if there are two middle numbers?
Add them together and divide the total by 2.
80
What is the mode?
The most common value or values in a data set.
81
How many modes can there be in a data set?
There can be either 0, 1, or 2 modes.
82
What is the range?
The difference between the largest and smallest values.
