Geometry
Two angles are complementary, which means they add up to 90°. If one of the angles measures 35°, what is the measure of the other angle?
55° (90 − 35 = 55)
Follow the correct order of operations to evaluate 8 + 6 × (10 − 7)
26 (parentheses: 10 − 7 = 3; then 6 × 3 = 18; then 8 + 18 = 26)
This sentence is missing its commas: After we ate dinner we washed the dishes cleaned the counters and took out the trash. Rewrite it with commas in the correct places.
After we ate dinner, we washed the dishes, cleaned the counters, and took out the trash.
Name the planets in order starting from the Sun
Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune.
On a standard map, there are four main directions called the cardinal directions. If North is at the top of the map, name the direction at the bottom, the direction on the right, and the direction on the left.
Bottom = South, right = East, left = West.
A regular hexagon (a six-sided shape with all sides equal) is rotated around its center. Not counting a full 360° spin back to start, how many degrees do you rotate it before it looks exactly the same as when you started?
60° (360 ÷ 6 = 60)
Evaluate the expression 3² + 4²
25 (9 + 16 = 25)
Read this sentence and name which part is the dependent clause: Because it was raining, the game was canceled.
Because it was raining is the dependent clause.
Which gas do plants take in, and which gas do they release that animals need to breathe?
Plants take in carbon dioxide and release oxygen.
Most maps have a small feature that tells you how distance on the map compares to real-life distance — for example, showing that one inch equals 100 miles. What is this map feature called? And what do we call the little symbol that shows which way is North?
The scale (or map scale) shows distance. The symbol pointing North is the compass rose.
A pizza has a radius of 6 inches. Using π ≈ 3.14, what is the circumference (the distance all the way around the crust)? Round to the nearest whole inch.
38 inches (C = 2 × π × r = 2 × 3.14 × 6 = 37.68 ≈ 38)
Given the expression 2x + 3y, find its value when x = 5 and y = 4. Substitute the numbers in for the letters, then simplify.
22 (2 × 5 = 10, plus 3 × 4 = 12, so 10 + 12 = 22)
This sentence has a comma splice: My brother loves soccer, he practices every day. Fix it in any correct way.
A student thinks plants grow taller with music playing. She sets up two identical plants, plays music for one and not the other, and measures them each week. Which plant is the control, and what is the variable being tested?
The control is the plant with no music (the normal setup you compare against). The variable being tested is the music (whether or not the plant hears it).
Many ancient civilizations were built next to rivers because the water was used for drinking, farming, and travel. Ancient Egypt grew up along one of the longest rivers in the world, which flooded every year and left rich soil for crops. Name that river.
The Nile River.
In a parallelogram, opposite angles are equal and all four angles add up to 360°. One angle measures 110°. What are the measures of the other three angles?
110°, 70°, and 70° (the opposite angle is also 110°; the other pair are each 70° since 360 − 110 − 110 = 140, split evenly)
Maria is 3 years older than twice her brother's age. Maria is 15. If we let b stand for her brother's age, the equation is 2b + 3 = 15. Solve for b to find her brother's age.
b = 6 (subtract 3 → 2b = 12, then divide by 2 → b = 6)
Direct speech quotes someone's exact words in quotation marks. Indirect speech reports what they said without quoting. Rewrite this direct-speech sentence as indirect speech: Sara said, "I am tired."
Sara said that she was tired. (The quotation marks are dropped, "I" changes to "she," and "am" shifts back in tense to "was.")
Explain what each system does in one sentence each: circulatory system, the respiratory system, and the skeletal system.
Earth has 7 continents and 5 oceans. Name the continent we live on, and name any three of the five oceans.
We live on North America. The five oceans are the Pacific, Atlantic, Indian, Arctic, and Southern (Antarctic) — naming any three counts.
A cardboard box is 5 cm long, 4 cm wide, and 3 cm tall. First find its volume. Then find its total surface area (the area of all 6 faces added together).
Volume = 60 cm³ (5 × 4 × 3). Surface area = 94 cm² — the three pairs of faces are 2(5×4) + 2(5×3) + 2(4×3) = 40 + 30 + 24 = 94.
Two numbers add up to 20, and their difference is 4. Find both numbers.
x = 12 and y = 8 (add the two equations: Written as equations: x + y = 20 and x − y = 4. 2x = 24, so x = 12; then 12 + y = 20, so y = 8)
This sentence contains an adjective clause (a group of words with a subject and verb that describes a noun). Identify the adjective clause, and name the noun it describes: The scientist who discovered the fossil gave a speech at our school.
The adjective clause is who discovered the fossil, and it describes the noun scientist. (It tells us which scientist, and it contains its own subject "who" and verb "discovered.")
Both animal and plant cells have many parts in common, like a nucleus and a cell membrane. But plant cells have two important structures that animal cells do not have. Name both structures, and explain what each one does.
Plant cells have a cell wall and chloroplasts that animal cells lack.
Ancient civilizations gave us ideas we still use today. Name at least one of these: (a) the beginnings of democracy, where citizens vote on decisions, (b) a system of roads, aqueducts, and laws that held together a huge empire, and (c) one of the earliest forms of writing, pressed into clay tablets with a wedge-shaped tool.