Problem Solving & Reasoning
Convert 2.75 hours into minutes
165 minutes
Identify the language technique:
"The stars danced across the night sky"
Personification
Simplify
7x + 4x -3
11x - 3
Choose the correct word
The athlete was extremely ________ after completing the marathon.
(a) exhausted
(b) exhaustedly
(c) exhaustion
(d) exhausting
(a) exhausted
The angles in a triangle add to what total?
180 degrees
A jacket costs $120 and is reduced by 30%. What is the sale price?
$84
Identify the sentence type:
"Although it was raining, the team continued playing."
Complex sentence
Solve:
5x + 8 = 33
x = 5
What does the word meticulous mean?
Extremely careful and precise; paying close attention to details
Find the area of a triangle with base 12cm and height 8cm.
48cm2
A train travels 360km in 4.5 hours. Find its average speed
80km/hr
Identify two techniques in this sentence:
"The deafening roar of the crowd swallowed his nervous whispers."
Contrast/oxymoron/juxtaposition
Personification
Visual Imagery
Expand and simplify:
4(2x+3) - 5x
3x + 12
Replace the word in italics with a synonym:
The villain was angry after losing the batter
Furious, Frustrated, Outraged
A regular polygon has an exterior angle of 45 degrees. How many sides does it have?
360 divided 45 = 8 sides
The ratio of boys to girls in a class is 3:5. If there are 32 students, how many boys are there?
12 boys
Rewrite this sentence to create a stronger sense of emotion and atmosphere:
"The girl walked home"
100 points for adjectives
100 points for adverbs
100 points for sensory imagery
100 points for personification/simile/metaphor
Solve
3(x + 4) = 2x + 18
x = 6
Identify the meaning of the word ambiguous and use it in a sentence
200 points for sentence:
E.g. The ending of the novel was ambiguous.
The length of a rectangle is 3cm more than its width. Its perimeter is 30cm. Find its dimensions
Let width be x and let length be x + 3
2x + 2(x + 3) = 30
Width = 6cm
Length = 9cm
A rectangle has an area of 96cm2
Its length is 4cm longer than its width. Find its dimensions.
8cm and 12cm
Analyse the effect of this technique:
"The darkness crept across the abandoned house, wrapping its cold fingers around every window."
100 marks for identifying personification
400 marks for analysis
E.g. Personification creates a sense of danger and fear by making the darkness appear like a threatening creature. The imagery builds tension and creates an unsettling atmosphere.
A number is increased by 7, then multiplied by 3. The answer is 45. What is the number?
100 points for 3(x + 7) = 45
400 points for x = 8
Define the word ambivalent
Having mixed or conflicting feelings about something
A rectangular prism has a volume of 240cm3
It's length is 10cm and its width is 6cm. Find its height
h = 4cm