10MAT Recall Practice Flashcards
Give the first 4 multiples of 6.
6, 12, 18, 24
What is the lowest common multiple (LCM) of 3 and 5?
15
What are the factors of 24?
1, 24 2, 12 3, 8 4, 6
What is the highest common factor (HCF) of 24 and 40?
8
Is 1 a Prime Number?
No
Give the first 5 Prime Numbers.
2, 3, 5, 7, 11.
What are the Prime Factors of 50?
2x5x5
If a^2 = 25, what is a?
5
What is the Square Root of 16?
+/- 4 (wrong with the plus or minus sign.
What does BEDMAS stand for?
Order of operations. Brackets, Exponential, Division, Multiplication, Addition, and Subtraction. We always solve the equation from left to right if order of operation is the same.
What is the value of the 9 in 3065.192?
9/100 or 9 hundredths
What is the value of the 6 in 3065.192?
60
Round 3065.192 to 2 dp.
3065.19
Round 3065.192 to 1 dp.
3065.2
How many significant figues does 3065.192 have?
7
Round 3065.192 to 3 s.f.?
3070 (the last 0 is not a significant figure)
What number is 3.521 x 10^2?
352.1
Write 3065.192 in Standard Form.
3.065192 x 10^3
What number is 5 x 10^-2
0.05
Write 0.00324 in Standard Form.
3.24 x 10^-3
Which is larger 1/3 or 2/5?
2/5
What is 1/3 of 69?
23
Amy put 2 kg of sweets in 12 bags. What is the weight of sweets in each bag?
1/6 kg
What is 1/4 of 2 dozen?
6
What is 1/3 + 2/5?
11/15
What is 1/3 x 2/5?
2/15
What is 1/3 divided by 2/5?
5/6
3/5 of Ben’s house is carpeted. 2/3 of the carpet is grey. What fraction of the house has grey carpet?
3/5 x 2/3 = 6/15
$100 is shared in the ratio of 2:3:5. How much does each get?
$20, $30 and $50
There are 17 boys and 13 girls. What is the ratio of boys to girls?
17:13
There are 17 boys and 13 girls. What is the ratio of boys to total number of students?
17:30
Divide $120 in the ratio 2:3.
2/5 x 120 = $48
3/5 x 120 = $72
Jerry earns $65 for 5 hours work. What is his rate of pay?
$13/hour
Joe plants 4 rows of potatoes in 2 hours. How long will it take him to plant 10 rows?
5 hours (2 rows in 1 hour, so 10/2 hours)
What is 0.23 as a percentage?
23%
What is 7.6% as a decimal?
0.076
What is 15% of $200?
$30
How do you calculate a percentage of an amount?
Percentage/100 x amount.
50% of an amount is $60, what is the original amount?
$120. Calculate by dividing the 60 by 0.5.
Increase $50 by 12%.
$56 (12% of 100 is 12 so 12% of 50 is 6)
Joe had a salary increase of 10%. His original salary was $56,000, what is his nwe salary?
$61,600 (56,000 x 1.1)
Tane’s new salary is $70200. He had a salary increase of 8%. What was his old salary?
$65000 (70200/1.08 = 65,000)
A shop has a special sale on and is taking off GST. The original price is $100. What is the sale price?
$86.95. (100/1.15)
Tom buys shoes for $30 and wants to add 25% mark-up to it. Then he has to add GST. What is the selling price?
30 x 1.25 = 37.50
37.50 x 1.15 = 43.13
Selling price is $43.15 rounded up.
How to go from GST Exclusive to GST Inclusive?
Multiply the GST Exclusive price by 1.15.
How to go from GST Inclusive to GST Exclusive?
Divide the GST Inclusive price by 1.15.
If a = 4 and b = 2 what is 2a - 3b?
2
Expand (c + 3)^2
c^2 + 6c + 9
Factorize 6x + 18 (put in brackets)
6(x + 3) 6 is the HCF of 6 and 18.
Factorize 6pq +3p^2 + 3p
3p(2q + p + 1) 3p is the HCF of all three terms.
Factorize x^2 + 8x + 15
(x + 3)(x + 5) factors of 15 are 3 and 5, they canb be added to give 8. Check by expanding.
Factorize x^2 -13x +12
(x - 1)(x - 12) 1 and 12 are factors of 12, -1 -12 = -13.
Factorize x^2 -100
(x + 10)(x + 10) 10 x 10 = 100, 10 - 10 = 0
Solve x + 5 = 9
x = 4
Solve -2x/3 = 5/12
x = 15/24
Solve 4x + 5x = 27
9x = 27, so x = 3
Solve 3y/4 = 12
3y = 48, y = 48/3, y = 16
I think of a number, double it and then add 7 to it. The result is 37. What is the number?
Let N be number. 2N + 7 = 37.
So 2N = 30 and N = 15.
What is the next 2 terms in the sequance
4, 7, 10, ….
The difference is +3 so next 2 terms are 13 adn 16.
How can you tell if a sequence is linear?
The first difference will be constant.
What sort of equation will give you a constant second difference?
A quadratic equation. Something with an x^2 in it.
What is the rule for the sequance
4, 7, 10, 13, ….
Term = 3n +1 When n = 1 Term = 3 x 1 + 1 = 4
Substitute x = -1 in the equation
x^2 - 3x + 6
10 (1 + 3+ 6 = 10)
What is the general equation for a straign line?
y = mx + c
The equation for a line is y = 4x - 4. What is the gradient and what is the y-intercept?
Gradient = 4 and y-intercept = -4
How do you canculate the gradient?
Change in y divided by change in x or dy/dx or rise/run.
Solve x^2 = 36
x = +/- 6 Either +6 or -6 can be the answer.
Solve (x - 2)( x + 3) =0
x = 2 and x = -3 Make each bracket =0 and solve for x
Solve x(5x - 1) =0
x = 0 and x = 1/5.
Factorize and solve
x^2 + 6x + 8 = 0
(x + 2)(x + 4) = 0
So x = -2 and x = -4
What does the PPDAC cycle stand for?
Problem (question), Plan, Data, Analysis, and Conclusion.
How do you state a statistical problem?
By asking a specific statistical quesiton.
What is the difference between the population and a statistical sample.
The population is the whole group and a statistical sample is a random sample that represents the population.
What do you need to consider when planning a statistical enquiry?
What data to collect. How to gather the data. What measurement system to use. How to record the information
What is bias in a statistical enquiry?
An effect that favours one or more of the elements you are studying. This is not a good thing.
What are the three measures of central tendency (average) used in statistics and what do they mean?
Mean = the calculated average.
Mode = the most frequent number.
Median = the middle value.
How do you calculate the range?
Maximum value - minimum value.
What is the Inter Quartile Range (IQR)?
The Upper Quartile - the Lower Quartile.
How do you draw a Stem and Leaf chart?
Draw a stem which has the most significant number evenly spread out from lowest down to highest. Draw the leaves, Each leaf is the last significant figure of the data. Draw the key, this explains how to read the chart.
What sorts of relationships can you have in a scatter graph?
Strong or weak. Positive, Negative, or No relationship.
What are the key points of a Box and Whisker Graph?
Min, Lower Quartile, Median, Upper Quatile, Max. Range, IQR, Box, Whiskers.
