Place value
- 1.In the number 4,706,215, what is the 7 worth?
- 2.Write this number in digits: three hundred two thousand, fifty.
Comparing, ordering, and rounding
- 3.Put these in order from smallest to largest: 8,900 8,090 8,909
- 4.Round 3,462 to the nearest hundred.
Addition and subtraction with regrouping
- 5.4,585 + 2,738 =
- 6.6,003 − 1,458 =
- 7.A jacket costs $37. You pay with a $50 bill. How much change should you get?
Multi-digit multiplication
- 8.A case holds 24 cans of seltzer. How many cans are in 6 cases?
- 9.213 × 34 =
Division
- 10.84 ÷ 7 =
- 11.157 ÷ 6 = (give the remainder)
- 12.157 people are going on a trip. Each van holds 6 people. How many vans are needed?
Order of operations
- 13.3 + 4 × 5 =
- 14.(12 − 4) ÷ 2 + 6 =
Factors, multiples, and primes
- 15.List all the factors of 18.
- 16.Which of these is a multiple of 6?
- 17.Which of these is a prime number?
What a fraction is
- 18.A pizza is cut into 8 equal slices. Three slices are eaten. What fraction of the pizza was eaten? What fraction is left?
- 19.Which of these fractions equals 12?
- 20.On a number line from 0 to 1, is 34 closer to 0 or closer to 1?
Comparing and ordering fractions
- 21.Which is larger: 15 or 18?
- 22.Which is larger: 23 or 34?
Adding and subtracting fractions
- 23.14 + 24 =
- 24.12 + 13 =
- 25.34 − 18 =
Multiplying fractions
- 26.12 × 14 =
- 27.What is 23 of 12?
Dividing fractions
- 28.A recipe needs 2 cups of rice. Your only measuring cup holds 14 cup. How many scoops do you need?
- 29.34 ÷ 18 =
Decimal place value
- 30.In the number 4.07, what is the 7 worth?
- 31.Which is larger: 0.5 or 0.45?
- 32.Write 310 as a decimal.
Or check one topic at a time, with the button under it.
Where to go next
| Topic | Questions | Right | Seahorse quiz | Practice |
|---|---|---|---|---|
| 1. Place value | 1–2 | of 2 | Quiz 1 | |
| 2. Comparing, ordering, and rounding | 3–4 | of 2 | Quiz 2 | |
| 3. Addition and subtraction with regrouping | 5–7 | of 3 | Quiz 3 | |
| 4. Multi-digit multiplication | 8–9 | of 2 | Quiz 4 | |
| 5. Division | 10–12 | of 3 | Quiz 5 | |
| 6. Order of operations | 13–14 | of 2 | Quiz 6 | |
| 7. Factors, multiples, and primes | 15–17 | of 3 | Quiz 7 | |
| 8. What a fraction is | 18–20 | of 3 | Quiz 8 | |
| 9. Comparing and ordering fractions | 21–22 | of 2 | Quiz 9 | |
| 10. Adding and subtracting fractions | 23–25 | of 3 | Quiz 10 | |
| 11. Multiplying fractions | 26–27 | of 2 | Quiz 11 | |
| 12. Dividing fractions | 28–29 | of 2 | Quiz 12 | |
| 13. Decimal place value | 30–32 | of 3 | Quiz 13 |
The Seahorse quizzes are at thepeoplesshare.org/ged/math.
The key prints only when it is showing, and it starts on its own page. After you check a topic, each question you missed offers its own reasoning with the Why? button.
Answers, with the reasoning in brief
- 1.700,000. The 7 stands in the hundred-thousands place, so it is worth seven hundred thousand. The whole number reads: four million, seven hundred six thousand, two hundred fifteen.
- 2.302,050. "Three hundred two thousand" fills the thousands group: 302. "Fifty" is 050 in the last group. The zeros hold the places where nothing was said.
- 3.8,090; 8,900; 8,909. All three start with 8 thousands, so look at the hundreds: 0 is less than 9. Then 8,900 and 8,909 match through the tens, and 0 is less than 9 in the ones.
- 4.3,500. 3,462 sits between 3,400 and 3,500. The tens digit is 6, which is 5 or more, so round up.
- 5.7,323. Ones: 5 + 8 = 13, write 3, carry 1. Tens: 8 + 3 + 1 = 12, write 2, carry 1. Hundreds: 5 + 7 + 1 = 13, write 3, carry 1. Thousands: 4 + 2 + 1 = 7.
- 6.4,545. You cannot take 8 from 3, and the tens and hundreds are zeros, so borrow from the thousands: 6,003 becomes 5 thousands, 9 hundreds, 9 tens, 13 ones. Then 13 − 8 = 5, 9 − 5 = 4, 9 − 4 = 5, 5 − 1 = 4. Check: 4,545 + 1,458 = 6,003.
- 7.$13. Count up from 37: 3 more makes 40, then 10 more makes 50. 3 + 10 = 13.
- 8.144 cans. Six groups of 24. 6 × 20 = 120 and 6 × 4 = 24; 120 + 24 = 144.
- 9.7,242. Break 34 into 30 and 4. 213 × 30 = 6,390 and 213 × 4 = 852; 6,390 + 852 = 7,242.
- 10.12. 7 × 12 = 84.
- 11.26 remainder 1. 6 × 26 = 156, and 157 − 156 = 1 left over.
- 12.27 vans. 26 vans carry 156 people. The one person left over still needs a van, so the remainder means one more van. A remainder is not always treated this way: sometimes it is dropped, sometimes it is kept as a fraction. The question decides.
- 13.23. Multiply before you add: 4 × 5 = 20, then 3 + 20 = 23. Adding first gives 35, which is wrong.
- 14.10. Parentheses first: 12 − 4 = 8. Then divide: 8 ÷ 2 = 4. Then add: 4 + 6 = 10.
- 15.1, 2, 3, 6, 9, 18. These are the pairs that multiply to 18: 1 × 18, 2 × 9, 3 × 6.
- 16.(b) 30. 6 × 5 = 30. The other two are not in the 6 times table: 6 × 4 = 24 and 6 × 5 = 30 skip over 26; 6 × 7 = 42 and 6 × 8 = 48 skip over 44.
- 17.(c) 23. A prime number has exactly two factors, 1 and itself. 15 = 3 × 5, 21 = 3 × 7, 27 = 3 × 9. Nothing divides 23 evenly except 1 and 23.
- 18.38 eaten, 58 left. The bottom number counts the equal pieces in the whole (8). The top number counts the pieces you mean. 3 + 5 = 8, so the two fractions together make the whole pizza.
- 19.(b) 36. Three of six equal pieces is half. 23 and 46 are the same amount as each other, and both are more than half.
- 20.Closer to 1. 34 is three of the four equal steps from 0 to 1. Only one step remains.
- 21.15. Cutting something into 5 equal pieces gives bigger pieces than cutting it into 8. When the top numbers match, the smaller bottom number is the larger fraction.
- 22.34. In twelfths, 23 = 812 and 34 = 912. Another way: 23 is a third short of a whole, and 34 is only a quarter short.
- 23.34. The pieces already match (fourths), so add the tops: 1 + 2 = 3 fourths.
- 24.56. Halves and thirds do not match. Both fit into sixths: 12 = 36 and 13 = 26. Then 3 + 2 = 5 sixths.
- 25.58. 34 = 68, and 6 eighths − 1 eighth = 5 eighths.
- 26.18. Multiply the tops (1 × 1 = 1) and the bottoms (2 × 4 = 8). Half of a quarter is an eighth, so the answer is smaller than either piece you started with.
- 27.8. "Of" means multiply. One third of 12 is 4, so two thirds is 8.
- 28.8 scoops. Four quarter-cups fill one cup, so eight fill two cups. As division: 2 ÷ 14 = 2 × 4 = 8.
- 29.6. 34 is the same as 68, so six eighths fit inside it. Or flip the second fraction and multiply: 34 × 81 = 244 = 6. The answer is larger than either fraction because the question asks how many small pieces fit.
- 30.7 hundredths, or 0.07. The first place after the point is tenths; the second is hundredths. The number reads: four and seven hundredths.
- 31.0.5. Write both with two decimal places: 0.50 and 0.45. Fifty hundredths is more than forty-five hundredths. The extra digit in 0.45 does not make it bigger.
- 32.0.3. Tenths take the first place after the point, so three tenths is 0.3.