SA1 Revision 3. Ans: [2]

Transcription

1 SA1 Revision 3 1. Darryl and Peter shared some marbles in the ratio 2 : 5. Peter gave of his marbles to Darryl. What was the new ratio of Darryl s marbles to Peter s marbles? Ans: [2] 2. Laura has just enough money to buy 23 kg of prawns if each kilogram of prawns cost $4. How many kilograms of prawns can she buy if each kilogram of prawns costs $4.60? Ans: [2] 1 P5/SA1/Ex3

2 3. Felicia shared stamps equally with her 4 friends. How many stamps did each friend receive? Ans: [2] 4. The side of each square grid is 2 cm. Find the area of the shaded part ABCD. A B C 2 cm 2 cm D Ans: [2] 2 P5/SA1/Ex3

3 5. Greg, Maxine and Natasha shared 420 stamps in the ratio 7 : 5 : 3. How many more stamps did Greg get than Natasha? Ans: [2] 6. Elizabeth has 640 more stickers than Melissa. After Melissa gave Elizabeth 240 stickers, Elizabeth has 5 times as many stickers as Melissa. How many stickers did Melissa have at first? Ans: [3] 3 P5/SA1/Ex3

4 7. The figure below is not drawn to scale. ABCD is a rectangle of area 420 cm². AQ and DP are straight lines. If the area of the triangle APR is 70 cm², find the total area of the shaded parts. A D R B P Q C Ans: [3] 8. Magdalene had some paper clips. She gave David of her paper clips and another 56 more. Then, she gave Russell half of the remaining paper clips. Magdalene then had 68 paper clips left. How many paper clips did she have at first? Ans: [3] 4 P5/SA1/Ex3

5 9. Timothy gave of his salary to his parents and spent $1200 on clothes and transport. He had of his money left. How much did he give to his parents? Ans: [3] 10. The mass of a container was 45 kg when it was half filled with sand. When 15 kg of sand was added, it became full. Find the mass of the empty container. Ans: [3] 5 P5/SA1/Ex3

6 11. Irene baked some cookies. She ate the same number of cookies every day. After 3 days, she had of her cookies left. After another 7 days, she had 91 cookies left. How many cookies did she bake? Ans: [4] 6 P5/SA1/Ex3

7 12. CDEF and BEGH are squares. The area of BEGH is 5 cm² greater than the area of CDEF. Given that BF = 1 cm, find the area of the shaded part. A 5 cm H F B C G E D 8 cm I Ans: [4] 7 P5/SA1/Ex3

8 13. Shannon sold of her mangoes and Alfred sold of his. They found that each of them had sold the same number of mangoes. If Shannon had 36 fewer mangoes than Alfred at first, how many mangoes did Alfred have left? Ans: [4] 8 P5/SA1/Ex3

9 14. At a carnival, each child was given 4 packets of sweets. Each adult received 2 packets of sweets. of the people at the carnival were adults. Given that 4290 packets of sweets were given away, how many children were there at the carnival? Ans: [4] 9 P5/SA1/Ex3

10 15. Donald had 4 times as many marbles as Jerome at first. The two boys then bought the same number of marbles each. After that, Jerome had 54 marbles, which was each boy had at first. the number of marbles Donald had. Find the number of marbles Ans: Donald : Jerome: [4] 10 P5/SA1/Ex3

11 16. Whitney used 252 cm of wire to form the figure below. The figure is made up of a square, a rectangle and 3 identical triangles with equal sides. If the perimeter of the square is twice of the perimeter of a triangle, what is the length of the square? 21 cm 15 cm Ans: [5] 11 P5/SA1/Ex3

12 17. Black and white squares are used to form a sequence of patterns. The first three patterns are shown below. Pattern 1 Pattern 2 Pattern 3 Pattern number Black squares White squares (a) [1] 10 (a) Fill in the number of black squares for pattern number 4 in the table above. (b) Find the number of white squares in pattern number 9. (c) In which pattern number will there be a total of 196 squares? Ans: (b) [2] (c) [2] 12 P5/SA1/Ex3

13 18. Martin and Oscar had the same number of picture cards at first. After selling some of their cards at the same price, Martin had 262 cards left. The ratio of the number of Martin s cards left to the number of Oscar s cards left was 2 : 5. Oscar collected $1179 less than Martin for the cards sold. If Martin collected $2829 altogether from the sale of his cards, how many cards did each boy have at first? Ans: [5] 13 P5/SA1/Ex3