P6 Mathematics CA1 2021 — Rosyth | Singapore Past Year Paper

Q: In digit 58.72, what does the digit 7 stand for?

C. 7 tenths. In 58.72, the digit 7 occupies the first place after the decimal point, which is the tenths place. So it represents 7 tenths (0.7).

Q: Arrange the following fractions from the largest to the smallest: 4/5, 1/4, 5/9

B. 4/5, 5/9, 1/4. Convert to decimals: 4/5 = 0.80, 5/9 ≈ 0.556, 1/4 = 0.25. From largest to smallest: 4/5, 5/9, 1/4.

Q: There were 34 901 visitors at the National Museum last year. Round off this number to the nearest thousand.

D. 35 000. The hundreds digit of 34 901 is 9 (≥ 5), so we round up the thousands digit from 4 to 5, giving 35 000.

Q: Simplify 14b + 11 – 6b – 5 – 2.

A. (8b + 4). Combine like terms: 14b – 6b = 8b. Combine constants: 11 – 5 – 2 = 4. Result: 8b + 4.

Q: In a class of 40 pupils, 16 pupils wear glasses. What percentage of the pupils wear glasses?

C. 40%. Percentage = (16/40) × 100% = 40%.

Q: The table below shows James's marks for his English, Mother Tongue and Science tests. He scored an average of 78 marks for his 3 subjects. What did James score for his Science?

A. 76. Total marks = 78 × 3 = 234. Science score = 234 − 69 − 89 = 76.

Q: A carpenter can make 12 tables in 6 days. How long will he take to make 168 tables?

D. 84. Rate = 12 tables / 6 days = 2 tables per day. Time for 168 tables = 168 / 2 = 84 days.

Q: Which of the following has the same value as 40 kg 35 g?

D. 40.035 kg. 35 g = 0.035 kg, so 40 kg 35 g = 40 kg + 0.035 kg = 40.035 kg.

Q: The figure below is made up of squares. What is the least number of squares to be shaded to form a symmetric figure with AB as the line of symmetry?

B. 2. Checking each shaded square's mirror image across the diagonal AB, exactly 2 currently-shaded squares lack a partner; their reflections must also be shaded to complete the symmetry.

Q: Ada baked a cake and gave 1/3 of it to her neighbour. She cut the remainder equally into 5 slices. What fraction of the whole cake was each slice?

D. 2/15. Remainder after giving 1/3 = 2/3 of the cake. Each slice = (2/3) ÷ 5 = 2/15.

Q1 MCQ 1 mark

In digit 58.72, what does the digit 7 stand for?

Q2 MCQ 1 mark

Arrange the following fractions from the largest to the smallest: 4/5, 1/4, 5/9

Q3 MCQ 1 mark

There were 34 901 visitors at the National Museum last year. Round off this number to the nearest thousand.

Q4 MCQ 1 mark

Simplify 14b + 11 – 6b – 5 – 2.

Q5 MCQ 1 mark

In a class of 40 pupils, 16 pupils wear glasses. What percentage of the pupils wear glasses?

Q6 MCQ 1 mark 🖼 Visual

The table below shows James's marks for his English, Mother Tongue and Science tests. He scored an average of 78 marks for his 3 subjects. What did James score for his Science?

Q7 MCQ 1 mark

A carpenter can make 12 tables in 6 days. How long will he take to make 168 tables?

Q8 MCQ 1 mark

Which of the following has the same value as 40 kg 35 g?

Q9 MCQ 1 mark 🖼 Visual

The figure below is made up of squares. What is the least number of squares to be shaded to form a symmetric figure with AB as the line of symmetry?

Q10 MCQ 1 mark

Ada baked a cake and gave 1/3 of it to her neighbour. She cut the remainder equally into 5 slices. What fraction of the whole cake was each slice?

Q11 MCQ 2 marks 🖼 Visual

The figure below is made of two identical smaller squares and a bigger square. Find the area of the shaded triangle.

Q12 MCQ 2 marks 🖼 Visual

A repeated pattern is formed using the numbers 1 and 0. The first 18 numbers are shown below. 1 1 0 1 0 1 | 1 1 0 1 0 1 | 1 1 0 1 0 1 … What is the sum of the first 100 numbers?

Q13 MCQ 2 marks 🖼 Visual

In the figure below, ABCD is a trapezium. AB = BC and BCE is a straight line. Find ∠ABC.

Q14 MCQ 2 marks

Mr Lim donated $800 to charity in April. In May, he donated 20% more than in April. In March, he donated 25% less than in April. How much money did he donate altogether?

Q15 MCQ 2 marks 🖼 Visual

A piece of wire is bent to form 1 quarter circle (radius 7 cm). Find the total length of the wire used to form the figure below using the quarter circle. (Take π = 22/7)

Q16 Open-ended 1 mark

Find the value of 5/9 × 3/8. Give your answer as a fraction in the simplest form.

Q17 Open-ended 1 mark

Find the value of 24 − 8k/2 when k = 5.

Q18 Open-ended 1 mark 🖼 Visual

In the figure, KL and MN are straight lines. Find ∠x.

Q19 Open-ended 1 mark

Dan has 2x ribbons. Ben has thrice as many ribbons as Dan. Jane has 4 fewer ribbons than Ben. How many ribbons do they have altogether in terms of x?

Q20 Open-ended 1 mark 🖼 Visual

In the figure below, ABC and ADE are triangles. Find ∠y.

Q21 Open-ended 2 marks

Find the value of 11 × 7 + 10 − 6 + (15 ÷ 3).

Q22 Structured 2 marks 🖼 Visual

In class P5-A, the average number of books borrowed by all the 20 students was 4 books. For each statement, put a tick (√) in the correct column. (a) If each student borrowed 2 more books, the average number of books borrowed by the class will be 5. (b) There are an equal number of boys and girls in the class. If each boy borrowed 3 more books and each girl borrowed 1 more book, the new average of books borrowed by the class will be 6.

Q23 Open-ended 2 marks 🖼 Visual

The figure below is made up of 1 semi-circle with a radius 14 cm. Find the perimeter of the figure. (Take π = 22/7)

Q24 Open-ended 2 marks 🖼 Visual

The postal charges for sending a parcel to Malaysia are as shown below. How much would Tim have to pay for sending a parcel weighing 8.4 kg?

Q25 Open-ended 2 marks

Eileen had some flour. She used 1/5 kg of the flour to make bread and 1/4 of the flour to make cupcakes. She had 190 g of flour left. How many grams of flour did Eileen have at first?

Q26 Structured 2 marks

Jane baked q muffins. She sold 4 muffins and gave the remaining muffins to 5 of her neighbours. (a) How many muffins did the 5 neighbours receive in terms of q? (b) If Jane baked 29 muffins, how many muffins did each neighbour get?

Q27 Open-ended 2 marks

Daniel had $500. He spent 30% of his money on a pair of shoes and 30% of his remaining money on a bag. How much money did he spend altogether?

Q28 Open-ended 2 marks 🖼 Visual

The table below shows the admission fees to a museum for an adult and a child. There were 20 more children than adults at the museum. If a total of $1230 was collected, how many adults were at the museum?

Q29 Open-ended 2 marks 🖼 Visual

Figure ABCDE has an area of 25 cm². ABD and CBE are straight lines. Find the total unshaded area.

Q30 Open-ended 2 marks 🖼 Visual

A piece of paper in the shape of a rhombus is folded along the dotted line as shown. Find ∠a.

Q31 Open-ended 2 marks 🖼 Visual

The bar graph shows the different number of pencils a shop sold over 5 days. The day that had the most number of books sold was 96. Find the average number of books sold over 5 days.

Q32 Open-ended 2 marks

Mr Tan bought y boxes of apples. Each box contained 12 apples. He threw away 5 rotten apples and repacked the remaining apples into bags of 4. Find the number of bags that he used in terms of y.

Q33 Structured 2 marks 🖼 Visual

The figure below shows an isosceles triangle ABC drawn on a square grid. AB = BC. (a) ABCD is a rhombus with twice the area of triangle ABC. On the grid below, draw and label rhombus ABCD by extending triangle ABC. (b) A rectangle has the same area as triangle ABC. On the grid below, draw the rectangle.

Q34 Open-ended 2 marks

A group of 5 boys booked a badminton court for 2 hours and took turns to play. At any time, there were 4 boys playing badminton. On average, how long did each boy play? Give your answer in hours and minutes.

Q35 Open-ended 2 marks 🖼 Visual

ABGH and BCEF are rectangles. The area of triangle ADG is 32 cm² and BG = GD = GF. Find the area of rectangle BCEF.

Q36 Open-ended 3 marks

Four friends, Ahmad, Ben, Carol and Devi donated money for a charity. Ahmad and Ben donated a total of $96. Together, Ben, Carol and Devi donated a total of $132. The total amount of money donated by all 4 friends is 5 times the amount that Ben donated. How much money did Carol and Devi donate in total?

Q37 Structured 3 marks

Ahmad is w years old this year. Jane is 3 times as old as Ahmad. Sarah is 5 years older than Jane. (a) What is their total age in 2 years' time? Express your answer in terms of w. (b) In 2 years' time, find their total age when w = 2.

Q38 Structured 3 marks 🖼 Visual

The line graph shows the number of cars sold by a shop at the end of each month. (a) In which month was there the greatest decrease in the number of cars sold? (b) What is the percentage change in the number of cars sold in February compared to January?

Q39 Structured 3 marks

Ken used 2/5 of his blue ice-cream sticks to make a toy boat, 3/8 of his red ice-cream sticks to make a toy car and 2/3 of his green ice-cream sticks to make a toy plane. He used the same number of ice-cream sticks to make each of the toy models. (a) What fraction of all his ice-cream sticks did he use? Give your answer in the simplest form. (b) Ken had 1793 ice-cream sticks left, how many ice-cream sticks did he have in all?

Q40 Structured 3 marks 🖼 Visual

The figure below is made up of triangle ABG and two identical overlapping rhombuses, ABCD and ABFE. ∠ADC = 48°. Find (a) ∠CAE (b) ∠AGB

Q41 Open-ended 3 marks

In a library, if 14 girls leave the library, the ratio of the number of boys to the number of girls that remain in the library will be 2 : 1. If 14 boys leave the library, the ratio of the number of boys to the number of girls that remain in the library will be 3 : 5. How many children were there in the library altogether?

Q42 Structured 4 marks 🖼 Visual

CDEF is a parallelogram. BFE is a straight line. ∠ABF = 25°, ∠FBC = 110° and ∠DEF = 47°. (a) Find ∠EFC. (b) Find the sum of ∠w, ∠x, ∠y and ∠z.

Q43 Open-ended 4 marks 🖼 Visual

Last Christmas, a shopkeeper decorated his shop with stars and bells. He used two strings of the same length. He cut the first string into equal parts of length 30 cm. For each equal part, he tied 5 stars as shown in Figure 1. Then he cut the second string into equal parts of length 80 cm. For each equal part, he tied 7 bells as shown in Figure 2. After the decorations are put up, he had 475 more stars than bells. How many stars did he use?

Q44 Open-ended 4 marks 🖼 Visual

In the figure below, PQRS is a rectangle. PQ is twice the length of PS. PTU and UVQ are right-angled isosceles triangles. The perimeter of the shaded part is 112 cm. What is the ratio of the area of the unshaded part to the area of the shaded part? Give your answer in the simplest form.

Q45 Structured 5 marks

Candy had three times as many 20-cent coins as 10-cent coins and twice as many 20-cent coins as 50-cent coins at first. She exchanged 1/2 of her 20-cent coins for thirty 50-cent coins of the same value. Her parents then gave her another eighteen 20-cent coins. (a) How many coins did she have in the end? (b) How much money did she have in the end?

Q46 Structured 5 marks 🖼 Visual

The pattern of a single fence wall WXEFZ is made using two squares XEFZ and WXYZ overlapping each other. Y is the center of the square XEFZ. (a) Find the ratio of the area of triangle XYZ to the area of the figure WXEFZ. (b) James installed the fence wall along the perimeter of his rectangular garden. The cost of installing the fence wall is $18 for every metre. He paid $4500 altogether. What is the total area of the entire fence wall used for his garden?

Q47 Structured 5 marks 🖼 Visual

In Week 1 of a running camp, the number of girls was 140 fewer than the number of boys. In Week 2, the number of boys decreased by 40% and the numbers of girls increased by 20%. There were 1074 children in Week 2 of the camp. (a) How many children were there in Week 1 of the running camp? (b) What percentage of the children in Week 2 of the running camp were girls? Give your answer to the nearest 2 decimal places.

P6 Mathematics CA1 2021 — Rosyth

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