Teacher edition (with key)← Advanced Math 4

Advanced Math 4 — every item

Singapore Dimensions Math 4A / 4B · 51 items

One section per unit, in course order. For review and for a year of homework sheets.

01Numbers to 1,000,000place-value-million

1.
In the number $371{,}502$ , what is the value of the digit $7$ ?
Answer: ______________
2.
A number is written in expanded form as $400{,}000 + 20{,}000 + 7{,}000 + 500 + 8$ . Round this number to the nearest thousand.
Answer: ______________
3.
A concert sold $375{,}000$ tickets. Which number shows $375{,}000$ rounded to the nearest ten thousand?
1. (A)
  $370{,}000$
2. (B)
  $375{,}000$
3. (C)
  $300{,}000$
4. (D)
  $380{,}000$
5. (E)
  $400{,}000$

02Addition and subtractionmulti-digit-add-sub

1.
Compute $6{,}004 - 1{,}357$ .
Answer: ______________
2.
A bakery sold $9{,}400$ buns on Saturday and Sunday together. It sold $1{,}800$ more buns on Saturday than on Sunday. How many buns did it sell on Sunday?
Answer: ______________
3.
Mia and Liam have $4{,}000$ stickers altogether. Mia has $2{,}350$ of them. How many more stickers does Mia have than Liam?
1. (A)
  $700$
2. (B)
  $1{,}650$
3. (C)
  $800$
4. (D)
  $5{,}650$

03Multiples and factorsfactors-multiples-intro

1.
How many factors does $24$ have? Count $1$ and $24$ themselves.
Answer: ______________
2.
List all the factors of $36$ in pairs. What is the sum of all the factors of $36$ ?
Answer: ______________
3.
Which of these numbers is prime?
1. (A)
  $1$
2. (B)
  $51$
3. (C)
  $53$
4. (D)
  $91$

04Multiplicationmulti-digit-multiplication

1.
Compute $308 \times 7$ .
Answer: ______________
2.
A library has $24$ shelves. Each shelf holds $36$ books. There are already $250$ books on the shelves. How many more books can fit?
Answer: ______________
3.
Ben works out $34 \times 26$ like this: $34 \times 6 = 204$ , then $34 \times 2 = 68$ , then $204 + 68 = 272$ . His teacher says the answer is wrong. What is the correct product?
1. (A)
  $272$
2. (B)
  $804$
3. (C)
  $900$
4. (D)
  $884$

05Divisionlong-division-remainders

1.
Divide $2{,}350$ by $6$ . Enter the remainder only.
Answer: ______________
2.
Six friends share $27$ pancakes equally, cutting pancakes when they need to. How many pancakes does each friend get? Enter a fraction or mixed number.
Answer: ______________
3.
A camp has $236$ children. Each van carries $9$ children. What is the least number of vans needed so that every child has a seat?
1. (A)
  $2$
2. (B)
  $26$
3. (C)
  $26 \text{ R } 2$
4. (D)
  $28$
5. (E)
  $27$

06Fractionsfraction-fundamentals

1.
$\dfrac{3}{4} = \dfrac{?}{12}$ . Enter the missing numerator.
Answer: ______________
2.
Five fractions are placed on a number line: $\dfrac{5}{8},\ \dfrac{1}{2},\ \dfrac{2}{3},\ \dfrac{9}{8},\ \dfrac{3}{4}$ . Enter the fraction that is in the middle (third from the left).
Answer: ______________
3.
Which comparison is true?
1. (A)
  $\dfrac{3}{5} > \dfrac{3}{4}$
2. (B)
  $\dfrac{3}{4} > \dfrac{5}{8}$
3. (C)
  $\dfrac{5}{12} > \dfrac{1}{2}$
4. (D)
  $\dfrac{2}{3} < \dfrac{5}{8}$
5. (E)
  $\dfrac{7}{6} < 1$

07Adding and subtracting fractionsfraction-add-sub

1.
Compute $\dfrac{2}{3} + \dfrac{1}{4}$ .
Answer: ______________
2.
A ribbon is $4\dfrac{1}{4}$ m long. Maya cuts off $1\dfrac{5}{6}$ m for a bow. How much ribbon is left, in metres? Enter a fraction or mixed number.
Answer: ______________
3.
Priya paints $\dfrac{2}{5}$ of a fence on Saturday and $\dfrac{1}{4}$ of the same fence on Sunday. What fraction of the fence is painted after the two days?
1. (A)
  $\dfrac{3}{9}$
2. (B)
  $\dfrac{3}{20}$
3. (C)
  $\dfrac{13}{20}$
4. (D)
  $\dfrac{11}{20}$

08Multiplying a fraction and a whole numberfraction-times-whole

1.
Compute $6 \times \dfrac{2}{3}$ .
Answer: ______________
2.
There are $36$ balloons at a party. $\dfrac{5}{6}$ of the balloons are blue. $\dfrac{2}{5}$ of the blue balloons have stars on them. How many blue balloons have stars?
Answer: ______________
3.
Jade has $20$ marbles. $\dfrac{3}{4}$ of them are green. How many marbles are green?
1. (A)
  $15$
2. (B)
  $3$
3. (C)
  $5$
4. (D)
  $60$

09Line graphs and line plotsline-plots-graphs

1.
A class measured $12$ pencils to the nearest quarter inch and made a line plot. The table shows the data.

Length (inches) $4\frac{1}{2}$ $4\frac{3}{4}$ $5$ $5\frac{1}{4}$ $5\frac{1}{2}$
Number of pencils $2$ $4$ $3$ $1$ $2$

How many pencils are shorter than $5$ inches?
Answer: ______________
2.
A class measured $12$ pencils to the nearest quarter inch and made a line plot. The table shows the data.

Length (inches) $4\frac{1}{2}$ $4\frac{3}{4}$ $5$ $5\frac{1}{4}$ $5\frac{1}{2}$
Number of pencils $2$ $4$ $3$ $1$ $2$

If all $12$ pencils were laid end to end, what would the total length be, in inches? Enter a fraction, mixed number, or decimal.
Answer: ______________
3.
Leo measured $10$ crayons to the nearest eighth of an inch and made a line plot. The table shows the data.

Length (inches) $2\frac{1}{8}$ $2\frac{1}{4}$ $2\frac{3}{8}$
Number of crayons $3$ $2$ $5$

What is the total length of all $10$ crayons, in inches?
1. (A)
  $10$
2. (B)
  $22\dfrac{3}{4}$
3. (C)
  $6\dfrac{3}{4}$
4. (D)
  $21\dfrac{3}{4}$

Length (inches)	$4\frac{1}{2}$	$4\frac{3}{4}$	$5$	$5\frac{1}{4}$	$5\frac{1}{2}$
Number of pencils	$2$	$4$	$3$	$1$	$2$

Length (inches)	$4\frac{1}{2}$	$4\frac{3}{4}$	$5$	$5\frac{1}{4}$	$5\frac{1}{2}$
Number of pencils	$2$	$4$	$3$	$1$	$2$

Length (inches)	$2\frac{1}{8}$	$2\frac{1}{4}$	$2\frac{3}{8}$
Number of crayons	$3$	$2$	$5$

10Measurementmeasurement-conversions

1.
A hiking trail is $3$ km $450$ m long. How long is the trail in metres?
Answer: ______________
2.
A jug holds $2$ litres of juice. Mia fills $6$ cups from the jug. Each cup holds $250$ mL. How many millilitres of juice are left in the jug?
Answer: ______________
3.
A train leaves the station at 13:50 and arrives at 16:25 the same afternoon. How long is the journey?
1. (A)
  $3$ h $25$ min
2. (B)
  $2$ h $25$ min
3. (C)
  $2$ h $45$ min
4. (D)
  $2$ h $35$ min

11Area and perimeterarea-perimeter-rectilinear

1.
A rectangle is $9$ cm long and $4$ cm wide. What is its perimeter, in cm?
Answer: ______________
2.
An L-shaped patio has six sides, and every corner is a right angle. Its bottom edge is $12$ m long and its left edge is $7$ m tall. Its top edge is $5$ m long and its right edge is $3$ m tall. What is the area of the patio, in m²?
Answer: ______________
3.
A rectangle is $6$ cm by $4$ cm. A second rectangle has double the length and double the width. What is the area of the second rectangle, in cm²?
1. (A)
  $96$
2. (B)
  $48$
3. (C)
  $40$
4. (D)
  $24$

12Decimalsdecimal-place-value

1.
A number has $2$ ones, $3$ tenths, $0$ hundredths, and $7$ thousandths. Write it as a decimal.
Answer: ______________
2.
Four pieces of string measure $0.7$ m, $0.68$ m, $\dfrac{3}{4}$ m, and $0.6$ m. Which length is the second longest? Enter it as a decimal.
Answer: ______________
3.
Which comparison is true?
1. (A)
  $0.27 > 0.3$
2. (B)
  $0.50 > 0.5$
3. (C)
  $0.07 > 0.1$
4. (D)
  $0.36 > 0.4$
5. (E)
  $0.8 > 0.79$

13Addition and subtraction of decimalsdecimal-add-sub

1.
Compute $6.25 + 3.9$ .
Answer: ______________
2.
Jo has $20. She buys a book for $13.45 and a pen for $2.80. How much money does she have left, in dollars?
Answer: ______________
3.
A jug holds $5.2$ L of water. Ana pours in another $0.37$ L. How much water is in the jug now, in litres?
1. (A)
  $0.89$
2. (B)
  $8.9$
3. (C)
  $5.57$
4. (D)
  $5.47$

14Multiplication and division of decimalsdecimal-mul-div-intro

1.
Compute $2.4 \times 3$ .
Answer: ______________
2.
A ribbon $5.4$ m long is cut into $6$ equal pieces. Ben uses $4$ of the pieces. How many metres of ribbon does Ben use?
Answer: ______________
3.
Each tile is $0.36$ m wide. Five tiles are laid in a row with no gaps. How wide is the row, in metres?
1. (A)
  $0.18$
2. (B)
  $1.8$
3. (C)
  $18$
4. (D)
  $1.5$

15Anglesangle-measure-types

1.
An angle measures $115^\circ$ . Which word describes it?
1. (A)
  acute
2. (B)
  right
3. (C)
  obtuse
4. (D)
  straight
2.
Three angles meet at a point and together fill the whole turn around it. Two of the angles are $150^\circ$ and $95^\circ$ . What is the third angle, in degrees?
Answer: ______________
3.
Priya measures an angle with a protractor. One ray of the angle lies along the $0^\circ$ mark of the inner scale. The other ray crosses the protractor where the inner scale reads $40^\circ$ and the outer scale reads $140^\circ$ . The angle is smaller than a right angle. What is its measure?
1. (A)
  $140^\circ$
2. (B)
  $40^\circ$
3. (C)
  $50^\circ$
4. (D)
  $320^\circ$

16Lines and shapeslines-symmetry-quadrilaterals

1.
How many lines of symmetry does a square have?
Answer: ______________
2.
A rectangle is $8$ cm long and $6$ cm wide. A line of symmetry is drawn parallel to the $6$ cm sides, cutting the rectangle into two equal pieces. What is the perimeter of one piece, in cm?
Answer: ______________
3.
Which statement is true?
1. (A)
  Every rectangle is a square.
2. (B)
  A square is not a rectangle, because all four of its sides are equal.
3. (C)
  A rectangle has exactly two right angles.
4. (D)
  Every square is a rectangle.

17Properties of cuboidscuboids-isometric

1.
How many edges does a cuboid have?
Answer: ______________
2.
A solid is built from $7$ unit cubes. The bottom layer is a row of $4$ cubes. A second layer of $2$ cubes sits on top of the left two cubes of the bottom row. A third layer of $1$ cube sits on top of the leftmost cube of the second layer. Looking straight down from above, how many squares do you see?
Answer: ______________
3.
Lena builds a staircase from unit cubes. From the front you see three columns side by side: the left column is $3$ cubes tall, the middle is $2$ cubes tall, and the right is $1$ cube tall. The staircase is $2$ cubes deep from front to back, and every column is the same height at the back as at the front. How many cubes did Lena use?
1. (A)
  $6$
2. (B)
  $9$
3. (C)
  $12$
4. (D)
  $18$