Practice Test 7 - 4th Grade Math

20 questions. Answer them in any order, then submit to see your score and every explanation.

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1. Two identical circles are each divided into 7 equal parts. Circle 1 has $\frac{3}{7}$ shaded and Circle 2 has $\frac{2}{7}$ shaded. If you combine the shaded parts from both circles to make one new circle of the same size, what fraction of the new circle would be shaded?
2. Lisa is practicing angle measurement and sketching. She measures an angle as $84°$, then sketches an angle that is $96°$. What is the difference between the measures of the two angles?
3. On the number line, point $0.41$ is to the left of point $0.49$. What does this mean?
4. Emma ate $\frac{2}{8}$ of a pizza, then $\frac{3}{8}$ more of the same pizza. What fraction of the pizza did Emma eat in all?
5. Interpret the equation $24 = 3 \times 8$ as a comparison statement using "times as many."
6. Maria ate $\frac{3}{8}$ of her pizza and Jake ate $\frac{2}{5}$ of his pizza. Both pizzas were the same size. Who ate more pizza?
7. A school orders pencils in cases. Each case holds 144 pencils. They order 5 cases and distribute them equally among 12 classrooms. How many pencils does each classroom receive?
8. A factor is a whole number that divides another number evenly (with no remainder). Find all factor pairs for $28$.
9. A garden is divided into equal sections for planting. On Saturday, $\frac{4}{9}$ of the garden was planted with vegetables. On Sunday, $\frac{2}{9}$ more was planted with flowers. On Monday, the gardener realized that $\frac{1}{9}$ of the flower section was planted in the wrong location and moved those flowers to a different garden entirely. What fraction of the original garden is now planted?
10. Multiply $63$ by $45$. What is the product?
11. Find the quotient: $936 \div 8$
12. Maya poured $1\ \tfrac{2}{8}$ liters of water into a jug, then poured in $2\ \tfrac{3}{8}$ more liters. How many liters are in the jug now?
13. A car costs $4,208. A truck costs $3$ times as much. How much does the truck cost?
14. A carnival game involves spinning the wheel shown in the diagram and drawing a card from a deck. Players win only when they spin 'WIN' AND draw a red card from a standard deck (half red, half black). If the carnival owner creates a single spinner with 24 sections to replace both components, how many sections should be winning sections?
15. Maria is creating a conversion table for her science project. She knows that 1 kilogram equals 1,000 grams. If she has measured rocks with masses of 2.5 kg, 0.8 kg, and 1.2 kg, what is the total mass of all three rocks expressed in grams?
16. Write 30,405 in expanded form.
17. Alex measures $\frac{50}{100}$ of a liter of water for an experiment. His lab partner needs to record this measurement as a decimal. What decimal should be recorded?
18. Marcus says, "$300$ is 10 times $30$." Is Marcus correct?
19. Two clocks are being compared. Clock A shows 3:42 PM, and Clock B shows 3:47 PM. If Clock A is 5 minutes slow, what is the correct time?
20. What is $\frac{3}{10} + \frac{27}{100}$?

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