GEOMETRY
What is the perimeter of a square that has an area of 25?
20
What is the value of Y if X = 3 for the following equation:
Y = 3X + 5
14
If 1/3 of a number is 4 less than 1/2 of the number, the number is ?
24.
5X - (-2) = 17
What is the value of X?
3
The temperatures this week have been 40, 38, 39, 40, 38 and 39.
What is the average temperature?
39
What is the approximate area of a circle in which which has a diameter of 8cm?
Hint: Pi = 3
48
What is the Y intercept for the following equation:
Y = 2X - 3
-3
The average age expectancy of an Australian woman is 83 years and 2 months and a man is 79 years and 7 months.
How many more months can a woman expect to live?
43
When the number of people who contribute equally to a gift decreases from four to three, each person must pay an additional $10. What is the cost of the gift?
$120.
The cost of admission to an event is $5.00 plus one half of its price. How much does the event cost?
$10.00 Because $5 + 0.5($10) = $10.
What is the circumference of a circle which has a radius of 10cm.
Hint: Pi = 3
60cm
A culture of 5000 bacteria triples every 15 minutes. What is the size of the bacteria population after 2 hours have elapsed? (Calculator needed.)
32,805,000
A boat moored in Fremantle has a ladder that hangs down from the deck of the boat and touches the flat sea surface. The rungs are 1 metre apart. At low tide, ten rungs of the ladder are exposed. At high tide, the water level rises 6 metres. How many of the rungs will remain exposed?
10 rungs will be exposed. As the tide comes in, the boat will rise up.
-2X + 4 = 8
What does X equal?
-2
Three fair coins are tossed at the same time. What is the probability that all three coins will come up heads OR all will come up tails?
1/4. 1/8 (all heads) + 1/8 (all tails) = 1/4.
If the lengths of the three sides of a triangle are 4, x, and 9, what is the least possible perimeter of the triangle?
Hint (Whole numbers only)
X = 6 so 19.
What does X equal in the following equation?
4X + 3 = 2X - 1
X = -2
Jars A, B, and C each contain 8 marbles. Redistribute the marbles so that the ratio of the number of marbles in jar A to the number in jar B to the number in jar C is 1:2:3.
How many in each jar?
A 4
B 8
C 12
X/4 + 2 = 5
What is the value of X?
12
Five children throw a tennis ball. Kyah throws further than Jack but not as far as Alex. Hayden’s throw was not as far as Jack’s but further than Pipers. Who threw the aeroplane the furthest?
Alex
Liam is building a rectangular enclosure to keep his new pet llama in. The dimensions of the enclosure are 3m in length and 150cm wide. It cost $8/m for the fencing. Calculate the total cost for building the enclosure.
$72
What is the value of H in the following equation?
3(H +4) = 30
H = 6
Fruit for a dessert costs $1.20 a kg. If 5 kg of fruit are needed to make a dessert that serves 18 people, what is the cost of the fruit needed to make enough of the same dessert to serve 24 people?
$8.00.
For how many integer values of b is b+3>0 and 1>2b-9?
Seven. b>-3, and b<5. Since b is an integer, b may be equal to any of the following: -2, -1, 0, 1, 2, 3, or 4.
x, y, 22, 14, 10... In this sequence, each term after the first term x is obtained by halving the term that comes before it and then adding 3 to that number. What is the value of x-y?
32. x=70, y=38. 70-38=32.