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Cards (43)
What is the formula to calculate the volume of a cuboid?
Volume =
length
×
width
×
height
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What are the dimensions of the cuboid in the problem?
10 cm
,
4 cm
,
3 cm
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How do you calculate the volume of the given cuboid?
Multiply
10 cm
,
4 cm
, and
3 cm
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What is the calculated volume of the cuboid?
120
cm³
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What is the perimeter of the parallelogram ABCD?
31
cm
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How do you express the perimeter of the parallelogram in terms of x?
3x + 5 +
3x
+
5
+ x + 2 + x +
2
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What equation can be formed from the perimeter of the parallelogram?
3x + 5 + 3x + 5 + x + 2 + x + 2 =
31
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What is the shape of the oil tank described in the problem?
Cuboid
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What are the dimensions of the oil tank?
3 m
,
5 m
,
50 cm
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How is the cost of the material for the tank calculated?
Cost =
perimeter
× cost per
metre
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What is the cost per metre of the special material?
£12
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How do you calculate the perimeter of the oil tank?
Perimeter
= (5 + 3 + 5 + 3) × 2 +
0.5
×
4
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What is the total cost of the material for the tank?
£156
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How many bottles can one machine fill in an hour?
200
bottles
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How long will it take five machines to fill 200 bottles?
12
minutes
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What is the relationship between the number of machines and time taken to fill bottles?
More machines reduce time taken
Time is
inversely proportional
to machines
Graph shows time vs. number of machines
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How would you sketch a graph of time taken to fill 200 bottles against the number of machines?
X-axis: Number of machines
Y-axis: Time taken (minutes)
Plot points for
1 to 5
machines
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What is the equation represented by 11=330?
X =
30
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What is the solution to the equation 7 + 11y = 29?
y =
2
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How do you solve the equation 4(z + 8) = 62?
Subtract
32
from both sides
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What is the result of 42 + 32?
62
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What is the value of 1/x if x = 330?
1/330
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What is the y-intercept of the line on the grid?
(
0, 5
)
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How do you calculate the gradient of a line?
Change in y
over
change in x
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What is the left-hand side (LHS) of the equation (2x + 3)(x - 5) + x(x + 7) + 9?
2x²
- 8x + 15 + x² + 7x + 9
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What does the right-hand side (RHS) of the equation equal?
3(
x²
- 2)
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What are the steps to show that (2x + 3)(x - 5) + x(x + 7) + 9 = 3(x² - 2)?
Expand
(2x + 3)(x - 5)
Expand x(x + 7)
Combine
like terms
Simplify to match
RHS
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What are the values of a and b if a + b = 800 and b is 250 greater than a?
a =
275
, b =
525
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How do you calculate the volume of a sphere with radius 3 cm?
Volume
formula
: \( V = \frac{4}{3} \
pi
r^3 \)
For \( r = 3 \): \( V = \frac{4}{3} \pi (3^3) =
36
\pi \)
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What is the volume of the cylinder with a diameter of 6 cm and height of 20 cm?
Volume = \(
180
\
pi
\text{
cm
}^
3
\)
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What is the formula for the volume of a triangular prism?
Volume =
base area
×
height
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What does the drawing represent in the study material?
A
glass
box that protects a statue
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How do you find the surface area of a triangular prism with a volume of 168 cm³?
Calculate
cross-sectional area
and height
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What is the surface area calculation for a triangular prism with base area 24 cm² and height 7 cm?
Surface area = 2 × base area +
perimeter
× height
For base area = 24 cm², height = 7 cm
Calculate total surface area
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What is the purpose of the barrier around the box?
To prevent people from standing within
80 cm
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How should the locus of the barrier be drawn?
Using a
scale
of
1 cm
to
20 cm
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What are the conditions for shading the trapezium region?
Closer to CB than CO
Less than 4
cm
from B
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What is the formula given in the study material?
b
= 4 + 5g
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How can the formula be rearranged to make g the subject?
g = (b
-
4
)
/
5
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What is the condition for congruency of the triangles identified?
Triangle G
is congruent to triangle
29
by
SSS
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