Numbers
Round 546.83 to 2 significant figures.
550
Find the 21st term of a sequence with the position-to-term rule 5n - 27.
5(21) - 27 = 105 - 27
= 78
A circle has a diameter of 4m. Find its circumference, using π=3.142.
πd = 3.142 x 4
= 12.568m
What is the gradient and y-intercept of the function y = x + 6?
c = 6
The distance between the Earth and the Moon is 384,400km. Calculate the same distance in miles.
384,400 x 5/8 = 240,250mi
Solve in index form:
23 x 24 ÷ 4
23 x 24 ÷ 4 = 23 x 24 ÷22
= 23+4-2
= 25
Expand 12y2(y/2 - 2z)
6y3 - 24y2z
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180 - 113 = 67°
line A has a function of y = 4 - x. line B is parallel to line A and passes through (0, -2). Write the function for line B.
y = - x - 2
Name the three types of data.
discrete, continuous, categorical.
√52 + 102 x 2
√52 + 102 x 2 = √25 + 100 x 2
= √225
= 15
Mishaal's piggy bank has RM901. He says that when his mother gave it to him, it had RM50 inside and he saves RM23 each week. How many weeks has it been since he first received the piggy bank?
23n + 50 = 901
23n = 901 - 50
23n = 851
n = 851 ÷ 23
n = 37
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16 x 19 x 2 + 17 x 24 x 2 + 19 x 24 x 2 = 2336cm2
Write an equation for the inverse function of the function machine below:
x -> +5 -> ÷2 -> y
(x + 5) ÷ 2 = y
x + 5 = 2y
x = 2y - 5
Name 6 different quadrilaterals.
square, rectangle, parallelogram, rhombus, kite, trapezium.
A bank's fixed deposit has an interest rate of 3.8% per year. Josh puts RM30,000 in a fixed deposit for three years. Then, he adds RM20,000 into the fixed deposit for two years. How much interest has he earned?
30,000 x 3.8% x 3 + 50,000 x 3.8% x 2
= 3420 + 3800
= RM7220
v = u + at is a formula used to find the final velocity of a moving object, where u is the intial velocity, a is acceleration and t is time taken.
Given that v = 13m/s, u = 4m/s, and a = 3m/s2, find the time taken.
13 = 4 +3t
13 - 4 = 3t
9 = 3t
9/3 = t
3s = t
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πx/2 = 154
(22/7)x = 308
x = 308 x 7/22
= 98cm
x/2 = 49cm
Perimeter = 154 + 49 + 110
= 313cm
The midpoint of a line segment is (x , 3). One end of the line segment has the coordinates (8 , -2), and the other end is (0 , y). Find the values of x and y.
4 = x
(y + -2)/2 = 3
(y - 2) = 6
y = 6 + 2
y = 8
The bearing of point B from point A is 147°. Find the bearing of point A from point B.
180 + 147 = 327°
A company prices their products using the following ratio:
material cost : labour cost : markup
4 : 2 : 5
If the material cost of product A is RM560, and the labour cost of product B is RM380, find the difference in price of product A and B.
Price of product A = RM560 x 11/4 = RM1540
Price of product B = RM380 x 11/2 = RM2090
Difference = RM2090 - RM1540
= RM550
A grocery buys g papayas and h watermelons from a supplier at RM3 per papaya and RM10 per watermelon. The grocery then sells the papayas at RM9 each and the watermelons at RM28 each. Write an expression for the profit that the grocery would make from selling papayas and watermelons.
Then, using your expression, calculate the amount of profit if 60 papayas and 40 watermelons were sold.
(9 - 3)g + (28 - 10)h
= 6g + 18h
When g = 60, and h = 40,
6(60) + 18(40)
= 360 + 720
= RM1080
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8 x 5 x 1/2 x 5 x 12 = 1200cm3
Find the function of a line that passes through the coordinates (-6 , 7) and (2 , -9).
m = (y2-y1)/(x2-x1)
= (-9-7)/(2--6)
= (-16)/8
=-2
y = mx + c
-9 = -2(2) + c
-9 = -4 + c
-9 + 4 = c
-5 = c
y = -2x -5
A bingo machine contains balls with the numbers 1 to 99 printed on them. When spun, what is the probability for the number on the ejected ball being a 2-digit number?
P(1-digit number) = 9/99
= 1/11
P(2-digit number) = 1 - 1/11
= 10/11